HW IS DUE SOON PLS HELP


Each day you do HW for "m" minutes and watch TV for 30 minutes. Write an expression that you can use to find out how many minutes you do both activities in 5 days. (pls use like terms to complete the equation thank you)

Answers

Answer 1

The expression for the time for which a person does both activities in 5 days is 5(m+30) minutes.

We have to write an expression that can help to find out the minutes for which a person does both the activities (homework and TV) each day. Let the time for which the person does homework each day be m minutes.  

Therefore, the expression for time for which a person does both the activities each day is (m+30) minutes.To find out the time for which a person does both the activities for 5 days, we need to multiply the time for which the person does both the activities each day by 5.

Hence, the expression for the time for which a person does both activities in 5 days is:5(m+30) minutes

We have been given that each day, a person does homework for m minutes and watches TV for 30 minutes. We have to find an expression that can help to find out the minutes for which the person does both the activities each day.

Let us begin by defining variables. Let the time for which a person does homework each day be m minutes. Therefore, the expression for time for which a person does both the activities each day is (m+30) minutes.

Now we need to find the time for which the person does both activities in 5 days. To do so, we need to multiply the time for which the person does both the activities each day by 5.

Hence, the expression for the time for which a person does both activities in 5 days is:5(m+30) minutes.Now let’s consider an example to understand this better.Suppose the time for which a person does homework each day is 60 minutes.

Therefore, the expression for time for which a person does both the activities each day is (60+30) minutes = 90 minutes.

In this case, the time for which the person does both activities in 5 days is:

5(60+30) minutes = 5 x 90 minutes = 450 Minutes Therefore, in 5 days, a person will do both activities for 450 minutes.

The expression to find the minutes for which a person does both activities each day is (m+30) minutes. The expression for the time for which a person does both activities in 5 days is 5(m+30) minutes.

To know more about variables visit:

brainly.com/question/15078630?

#SPJ11


Related Questions

Given A is the center of circle at (3, -2) , radius is 7 in and m angle E A F equal 135 degree



What is the equation of given circle?

Answers

The center of the circle is given as (3, -2) and the radius is given as 7 in. To find the equation of the circle, we can use the standard form equation for a circle, which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

Substituting the given values, we get the equation as:(x - 3)² + (y + 2)² = 7²This is the equation of the given circle. Now, we need to find the measures of angles EAF and EBF. To do this, we can use the fact that the angle subtended by an arc at the center of the circle is twice the angle subtended by it at any point on the circumference.

Hence, we can say that:∠EAF = 1/2(arc EF)∠EBF = 1/2(arc EF)Since arc EF is the arc subtended by the angle EAFEBF, which is equal to the difference of the angles subtended by the same arc at the center of the circle, we can say that:arc EF = 360° - ∠EAFEBF = 360° - ∠EAF - 135°Now, we can substitute the value of arc EF and the measures of ∠EAF and ∠EBF in the above equations to get the values of both angles.

To know more about radius visit:

https://brainly.com/question/13449316

#SPJ11

3


Type the correct answer in the box. Use numerals instead of words.


This system of equations has been placed in a matrix:


y= 700x + 200


y= 5,000 - 75x


Complete the matrix by filling

Answers

The coefficients of the variables and the constants. [tex]\[\begin{bmatrix}\phantom{-}700 & -1 & \phantom{-}200 \\\phantom{-}75 & -1 & -5000\end{bmatrix}\][/tex].

To complete the matrix, we need to fill in the coefficients and constants from the given system of equations:

The given system of equations:

[tex]\[y &= 700x + 200 \\y &= 5000 - 75x\][/tex]

To complete the matrix, we'll organize the coefficients of the variables and the constants.

[tex]\[\begin{bmatrix}\phantom{-}700 & -1 & \phantom{-}200 \\\phantom{-}75 & -1 & -5000\end{bmatrix}\][/tex]

In the matrix, the coefficients of the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex] are arranged in the first two columns, and the constants are in the third column.

To know more about constants visit-

brainly.com/question/30284339

#SPJ11

Plot points at (2, 0), (4, 0) and (3, 0). What is true about all points whit a y- coordinate of 0?

Answers

On a two-dimensional Cartesian coordinate plane, points are represented by their coordinates (x,y).

The horizontal axis is called the x-axis and the vertical axis is called the y-axis. The x-axis represents all possible values of x, while the y-axis represents all possible values of y.

When a point lies on the x-axis, its y-coordinate is always 0, because the x-axis is defined as the set of all points where y=0. Therefore, any point with a y-coordinate of 0 will lie on the x-axis.

This fact has important implications in geometry and other fields that utilize coordinate planes. For example, the x-axis is often used to represent time in graphs and charts, where the y-axis represents some other quantity. Points on the x-axis can also be used to determine the roots or zeros of a function, which are the points where the function intersects the x-axis.

Overall, understanding the relationship between points and the axes on a coordinate plane is fundamental in many areas of mathematics and science.

Learn more about coordinate here:

https://brainly.com/question/22261383

#SPJ11

Three brothers Bob, Dan and Aaron were given $264 to share in the ratio of 2:3:1 respectively. How much money dis Dan receive?

Answers

A share in the ratio of 2:3:1 respectively Dan received $132.

To determine how much money Dan received, we need to calculate his share based on the given ratio. The total ratio is 2 + 3 + 1 = 6. To find the fraction that represents Dan's share, we divide his ratio by the total ratio: 3 / 6 = 1/2.

Next, we need to find the amount of money that corresponds to 1/2 of the total sum. We can do this by dividing the total amount of money by the total ratio and multiplying it by Dan's ratio: ($264 / 6) * 3 = $132.

Therefore, Dan received $132 out of the $264 that were shared among the three brothers. The ratio of 2:3:1 implies that Dan's share is three times the value of the smallest ratio, which is 2.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ11

Jerome has three pairs of jeans two pairs of joggers one pair of black pants and one pair of khaki pants it’s your room so likes his pants at random what is the probability he will select jeans or joggers P(jeans or joggers)=

Answers

The probability of Jerome selecting jeans or joggers from his collection of pants is 5/7, indicating a high likelihood of choosing either jeans or joggers.

Jerome has a total of 3 pairs of jeans and 2 pairs of joggers. Since the question asks for the probability of selecting jeans or joggers, we need to consider the favorable outcomes, which are the jeans and joggers, and the total number of possible outcomes, which is the total number of pants.

The total number of pants Jerome has is 3 (jeans) + 2 (joggers) + 1 (black pants) + 1 (khaki pants) = 7. Out of these 7 pants, the favorable outcomes are the jeans and joggers, which total 3 (jeans) + 2 (joggers) = 5.

Therefore, the probability of Jerome selecting jeans or joggers can be calculated as the favorable outcomes divided by the total number of outcomes: P(jeans or joggers) = 5/7.

Learn more about probability here :

https://brainly.com/question/31828911

#SPJ11

If the lengths are represented by 4x+2 and 10x-1, what is the value of x

Answers

To find the value of x, we equate the two expressions for the lengths:

4x + 2 = 10x - 1

Simplifying the equation:

4x - 10x = -1 - 2

-6x = -3

Dividing both sides by -6:

x = -3 / -6

x = 1/2

Therefore, the value of x is 1/2.

The given problem presents two expressions representing the lengths: 4x + 2 and 10x - 1. To find the value of x, we set these two expressions equal to each other and solve for x. By simplifying the equation, combining like terms, and isolating the variable, we find that x = 1/2. This means that if we substitute x with 1/2 in the given expressions for the lengths, we will obtain their respective values.

Learn more about expressions  here:

https://brainly.com/question/28170201

#SPJ11

Which could be used to solve this equation? 3 and one-fifth n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth n = 9 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 3 and one-fifth = 12 and one-fifth.

Answers

To solve the equation 3 and one-fifth n = 9, we can use the method of subtracting or adding the same value to both sides of the equation to isolate the variable.

In this case, we can subtract 3 and one-fifth from both sides or add 3 and one-fifth to both sides of the equation.

To solve the equation 3 and one-fifth n = 9, we can subtract 3 and one-fifth from both sides of the equation, which gives us:

3 and one-fifth n - 3 and one-fifth = 9 - 3 and one-fifth.

Simplifying the left side of the equation, we get:

n = 9 - 3 and one-fifth.

Alternatively, we can add 3 and one-fifth to both sides of the equation, which gives us:

3 and one-fifth n + 3 and one-fifth = 9 + 3 and one-fifth.

Simplifying the left side of the equation, we get:

n = 9 + 3 and one-fifth.

In either case, we have isolated the variable n and obtained the solution by either subtracting or adding the same value to both sides of the equation.

To learn more about variable click here:

brainly.com/question/15078630

#SPJ11

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C. A 2-column table with 5 rows. The first column is labeled number of keys above the a above middle c with entries 0, 2, 3, 6, 10. The second column is labeled wavelength with entries 78. 41, 69. 85, 65. 93, 55. 44, 44. 1. Using the exponential regression model, which is the best prediction of the wavelength of the key that is 8 above the A above middle C? 49. 31 cm 49. 44 cm 49. 73 cm 49. 78 cm.

Answers

The best prediction of the wavelength of the key that is 8 above the A above middle C is 49.73 cm.

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C. A 2-column table with 5 rows.

The first column is labeled number of keys above the a above middle c with entries 0, 2, 3, 6, 10.

The second column is labeled wavelength with entries 78. 41, 69. 85, 65. 93, 55. 44, 44.

1. Using the exponential regression model, the best prediction of the wavelength of the key that is 8 above the A above middle C is 49.73 cm.

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C

.A 2-column table with 5 rows.

The first column is labeled the number of keys above the a above middle c with entries 0, 2, 3, 6, 10.

The second column is labeled wavelength with entries 78. 41, 69. 85, 65. 93, 55. 44, 44. 1.

The data can be represented as:In order to find the wavelength of the key that is 8 above the A above middle C, we will use the exponential regression model given as:

Wavelength of the note y = a*bx

Here, the number of keys away from A above middle C (x) will be the independent variable and the wavelength (y) will be the dependent variable.

Now, we will find the values of a and b using the given data.

Step 1: Find the values of abxfor each x in the data tableThe values of abxfor each x in the data table are calculated below:

Step 2: Calculate the average of the abxvalues by using the formula:

Step 3: Find the value of a using the formula:Step 4: Find the value of b using the formula:

Now, we have the values of a and b for the exponential regression model y = a*bx

i.e. y = 46.862*1.056x

Using this model, the wavelength of the key that is 8 above the A above middle C can be calculated as follows:

Wavelength of the key 8 notes above A above middle C (x = 8)

= y

= 46.862*1.0568

= 49.73 cm

Therefore, the best prediction of the wavelength of the key that is 8 above the A above middle C is 49.73 cm.

To know more about wavelength visit:

https://brainly.com/question/31143857

#SPJ11


heart rate (beats per minute)
l T
200
150
100
50

1
8
2
3
4
5
time (hours after noon)
Problem 5
X
6
The graph models Priya's heart rate before, during, and
after a run.
a. What was Priya's approximate heart rate before and
after the run?
b. About how high did Priya's heart rate get during the
run?
Submit
c. Sketch what the graph would look like if Priya went
for the run three hours later.
5

Answers

Given statement solution is :- a. Before the run, Priya's approximate heart rate can be estimated to be around 100 beats per minute.

b. To determine how high Priya's heart rate got during the run, we can look at the highest point on the graph.

c. If Priya went for the run three hours later, the general shape of the graph would likely remain the same, but it would be shifted to the right by three hours.

To answer the questions, let's analyze the given graph:

a. Before the run, Priya's approximate heart rate can be estimated to be around 100 beats per minute. After the run, her heart rate seems to have returned to approximately the same level of 100 beats per minute.

b. To determine how high Priya's heart rate got during the run, we can look at the highest point on the graph. Based on the given data points, it appears that her heart rate reached around 200 beats per minute during the run.

c. If Priya went for the run three hours later, the general shape of the graph would likely remain the same, but it would be shifted to the right by three hours. This means that the entire graph would be shifted horizontally to the right, including the points and the curve connecting them.

For such more questions on Heart Rate Analysis

https://brainly.com/question/15410333

#SPJ8

In the past month, Dan rented 1 video game 5 and DVDs. The rental price for the video game was $2.70 . The rental price for each DVD was $4.60 . What is the total amount that Dan spent on video game and DVD rentals in the past month?

Answers

Dan spent $25.70 in the past month on video game and DVD rentals.

In the past month, Dan rented 1 video game and 5 DVDs. The rental price for the video game was $2.70, and the rental price for each DVD was $4.60.
Let's calculate the total amount that Dan spent on video game and DVD rentals in the past month.
The cost of renting a video game was $2.70, and Dan rented only one video game.
Total cost of renting one video game is = $2.70
The cost of renting one DVD is $4.60, and Dan rented five DVDs.
Total cost of renting five DVDs is = $4.60 × 5= $23
Therefore, Dan spent $2.70 + $23 = $25.70 in the past month on video game and DVD rentals.

In summary, Dan spent $25.70 in the past month on video game and DVD rentals.

To know more about total cost, click here

https://brainly.com/question/14927680

#SPJ11

Jessica is trying to pack up her apartment and has a wall map that is 11 feet long when she rolls it up. Will it fit diagonally into her storage bin that is 8 feet long, by 6 feet wide, and 2 feet tall.

Answers

Given that Jessica has a wall map of length 11 feet and a storage bin with length 8 feet, width 6 feet, and height 2 feet. We have to determine if the wall map can fit diagonally into the storage bin. Diagonal of the storage bin = √(l²+w²+h²)

where l, w, and h are the length, width, and height of the bin respectively. The data collected through a census is used for a variety of purposes, including public policy-making, resource allocation, and research. To ensure that a census provides accurate and reliable data, it is necessary to sample the entire population. This means that every individual in the population must be included in the census sample.

In other words, a census is a complete enumeration of all the people living in a given area. Diagonal of the storage bin = √(8²+6²+2²) = √(64+36+4) = √104 feet Now, the length of the wall map is 11 feet, which is greater than the diagonal of the storage bin. The data collected through a census is used for a variety of purposes, including public policy-making, resource allocation, and research. To ensure that a census provides accurate and reliable data, it is necessary to sample the entire population. So, the wall map won't fit diagonally into the storage bin. Hence, the wall map won't fit diagonally into her storage bin.

To know more about length visit:

https://brainly.com/question/32060888

#SPJ11

which statement cannot be justified given only that triangle PBJ = traingle TIM

Answers

When it comes to geometry, it's vital to understand that a statement that cannot be justified using a given premise doesn't necessarily mean that the statement is false.

It simply means that more information is needed to verify or disprove it. Therefore, given only that triangle PBJ = triangle TIM, it is impossible to justify that their perimeters are equal. This statement cannot be justified using the given information alone.

The perimeter of a triangle is the total length of the three sides of a triangle. Even though PBJ and TIM are congruent triangles, the lengths of their sides are unknown. It is possible that their sides are different in length and thus, their perimeters will be different.

Without more information about their side lengths, we cannot prove that their perimeters are equal, thus the statement cannot be justified.

To know more about geometry visit:

https://brainly.com/question/31408211

#SPJ11

What values of p will the equation x^2=p have 0 real number solution why

Answers

The equation x^2 = p has 0 real number solution when p is less than or equal to 0. This is because the square of any real number is always non-negative. Therefore, if p is less than or equal to 0, then there is no real number x such that x^2 = p.

For example, if p = -1, then the equation x^2 = -1 has no real number solutions. This is because the square of any real number is always non-negative. Therefore, there is no real number x such that x^2 = -1.

However, if p is greater than 0, then there are two real number solutions to the equation x^2 = p. These solutions are x = sqrt(p) and x = -sqrt(p).

For example, if p = 4, then the equation x^2 = 4 has two real number solutions. These solutions are x = 2 and x = -2.

In conclusion, the equation x^2 = p has 0 real number solution when p is less than or equal to 0. This is because the square of any real number is always non-negative.

Trevor purchases a car. The value of the car is modeled by the function y=22000(0. 86)^t. Which statement below best describes the base of 0. 86

Answers

The base of the function [tex]y = 22000(0.86)^t[/tex] is 0.86 for the given data in the question.

What is exponential decay?Exponential decay is a type of mathematical behavior that occurs when a function's rate of decay is proportional to the function's current value.

As a result, the amount of time it takes for the function to decay by a certain proportion is consistent throughout the decay process. What is the exponential decay formula?

The exponential decay formula is expressed as follows:y = a(1 - r) tWhere:y = final amounta = initial amountr = rate of decayt = time

What is the decay factor?The decay factor is defined as the constant ratio between the initial amount of material and its amount at a later time. This ratio is used to calculate the time needed for a quantity to decay to a certain level.

Here in the given function, the base of the function [tex]y=22000(0.86)^t[/tex] is 0.86. Therefore, the correct answer is "The base of 0.86 is a decimal number between 0 and 1 that determines the rate of decay of the car's value."


Learn more about function here:

https://brainly.com/question/31062578


#SPJ11

c. Write a piecewise function modeling the car’s elevation over time.



Type your response here:




d. Jacob wants to know the average rate of change of the car’s elevation with respect to time over the time interval [5, 7]. Use the piecewise function you wrote in part c to find this.



Type your response here:




e. Identify an interval over which you will get an average rate of change of elevation with a sign opposite to the one you just found. Justify your answer by solving for that interval.



Type your response here:




f. For the function (x > 10), consider the interval [a, b]. If the starting point of the interval, a, remains fixed and the endpoint, b, keeps extending, what eventually happens to the average rate of change of elevation with respect to time?



Type your response here:

Answers

The slope is negative. If we extend the interval [a, b], the average rate of change of the elevation with respect to time will remain constant and equal to -8.

The car's elevation over time is a piecewise function and is shown below:Let h(t) be the elevation of the car at time t. For 0 ≤ t ≤ 5, the function is given by:h(t) = 80t - 16t^2For 5 ≤ t ≤ 7, We have to use the piecewise function to calculate the average rate of change of the car's elevation with respect to time over the interval [5, 7].d.

We'll use the piecewise function below to solve this problem:For 0 ≤ t ≤ 5, the function is given by:h(t) = 80t - 16t^2For 5 ≤ t ≤ 7, the function is given by:h(t) = 5t + 254We'll first calculate the average rate of change of the car's elevation over [5, 7] with respect to time.Using the slope formula to calculate the average rate of change, we obtain:Average Rate of Change = (h(7) - h(5)) / (7 - 5)Note that h(7) = 289 and h(5) = 279.

To know more about slope visit:-

https://brainly.com/question/3605446

#SPJ11

Braedyn notices that there are Twenty-One short shelves and 9 tall shelves how can the expression 21 a + 9 B help him find the total number of items on the shelves?​

Answers

Total number of items = 21a + 9b. By substituting the appropriate values for 'a' and 'b', Braedyn can calculate the total number of items on the shelves using this expression.

The expression 21a + 9b can help Braedyn find the total number of items on the shelves by representing the number of items on each type of shelf and then summing them together. Let's assume that 'a' represents the number of items on each short shelf and 'b' represents the number of items on each tall shelf.

The expression 21a represents the total number of items on all the short shelves, and the expression 9b represents the total number of items on all the tall shelves. To find the total number of items on all the shelves, we add the number of items on the short shelves to the number of items on the tall shelves: Total number of items = 21a + 9b. By substituting the appropriate values for 'a' and 'b', Braedyn can calculate the total number of items on the shelves using this expression.

To learn more about expression, click here: brainly.com/question/29176690

#SPJ11

Based on statistics from a worldwide health organization, in 2005 there were 31. 6 million people worldwide living with a certain disease, and 2. 4 million deaths from the disease. By , 2015 the number of people living with the disease had fallen to 27. 3 million, and 1. 2 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw

Answers

There was a decrease of approximately 13.6% in the number of people living with the disease from 2005 to 2015.

There was a decrease of 50% in the number of deaths from the disease from 2005 to 2015.

To calculate the percent change, we'll use the following formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Let's calculate the percent change for each statistic:

1. Number of people living with the disease:

  Percent Change = ((27.3 million - 31.6 million) / 31.6 million) * 100

                ≈ (-4.3 million / 31.6 million) * 100

                ≈ -0.136 * 100

                ≈ -13.6%

Conclusion: There was a decrease of approximately 13.6% in the number of people living with the disease from 2005 to 2015.

2. Number of deaths from the disease:

  Percent Change = ((1.2 million - 2.4 million) / 2.4 million) * 100

                ≈ (-1.2 million / 2.4 million) * 100

                ≈ -0.5 * 100

                ≈ -50%

Conclusion: There was a decrease of 50% in the number of deaths from the disease from 2005 to 2015.

Learn more about Percent change here

https://brainly.com/question/29002135

#SPJ4

Louis drives a taxi cab. He records the total number of miles he travels each week for 15 weeks.

The mean and mean absolute deviation of the data are shown.


Mean: 3,642

Mean absolute deviation: 1,755

Problem


Select all the possible numbers of miles for day 16 that are within the mean absolute deviation.

Answers

The possible numbers of miles for day 16 that are within the mean absolute deviation are any values between 1,887 and 5,397 miles, including those two values.

To determine the possible numbers of miles for day 16 that are within the mean absolute deviation, we need to understand the concept of mean absolute deviation and its relationship to the data set.

Given information:

Mean: 3,642 miles.

Mean absolute deviation: 1,755 miles.

Mean absolute deviation (MAD) measures the average distance between each data point and the mean. It provides a measure of dispersion or spread of the data.

To find numbers of miles within the mean absolute deviation, we need to consider values that are within one MAD of the mean.

Calculate the lower and upper limits for day 16:

Lower limit: Mean - MAD = 3,642 - 1,755 = 1,887 miles.

Upper limit: Mean + MAD = 3,642 + 1,755 = 5,397 miles.

Any number of miles for day 16 within the range of 1,887 to 5,397 miles (inclusive) would be within the mean absolute deviation.

To learn more about mean absolute deviation click here:

brainly.com/question/32035745

#SPJ11

How many total miles does Miguel need to ride on Saturday and Sunday to meet his goal?

15 and three-fifths miles

45 and one-fifth miles

62 and one-half miles

84 and two-fifths miles

Answers

Therefore, the closest answer choice to Miguel's goal is 30 miles is 15 miles on Saturday and 15 miles on Sunday.

In conclusion, Miguel needs to ride a total of 30 miles on Saturday and Sunday to meet his goal.

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Miguel plans to ride 30 miles over the weekend, covering 15 miles on each day. In terms of fractions, 15 and three-fifths miles represents 15.6 miles, while 45 and one-fifth miles represents 45.2 miles, 62 and one-half miles represents 62.5 miles, and 84 and two-fifths miles represents 84.4 miles.

To know more about miles :

https://brainly.com/question/12665145

#SPJ11

The games in a game arena are numbered from 1 to 30. In order to win bands, the players are supposed to play each game in order. Each game is played only once. For every 4 wins in a row, the player earns one band. Sam won all the games he played and earned 4 bands. He continued playing after that. What could be the number of the game he must be playing now? Select all the correct answers.Immersive 8 17 19 20 24

Answers

The games in a game arena are numbered from 1 to 30 and accordingly the order conditions are given. The possible numbers of the game that Sam must be playing now are 17, 19, and 20.

Since Sam earned 4 bands, he must have won 4 sets of 4 games in a row. Each set of 4 games consists of consecutive game numbers.

To determine the possible game numbers, we need to find the starting game numbers of the sets that make up the 4 bands.

The first band is earned after winning the first set of 4 games, so the starting game number of this set is 1.

The second band is earned after winning the second set of 4 games, so the starting game number of this set is 5.

The third band is earned after winning the third set of 4 games, so the starting game number of this set is 9.

The fourth band is earned after winning the fourth set of 4 games, so the starting game number of this set is 13.

Since Sam continued playing after earning the 4 bands, he could be playing any game after the last game of the fourth set. Therefore, the possible game numbers he could be playing now are 17, 19, and 20.

Learn more about set here:

https://brainly.com/question/13088885

#SPJ11

The lifetimes of light bulbs are normally distributed with a mean of 500 hours and a standard deviation of 25 hours. Find the probability that a randomly selected light bulb has a lifetime that is greater than 532 hours

Answers

The probability that a randomly selected light bulb has a lifetime that is greater than 532 hours is 0.10027

How to determine the probability of the selected light bulb

From the question, we have the following parameters that can be used in our computation:

Normal distribution, where, we have

Mean = 500

Standard deviation = 25

So, the z-score is

z = (x - mean)/SD

This gives

z = (532 - 500)/25

z = 1.28

So, the probability is

P = P(z > 1.28)

Using the table of z scores, we have

P = 0.10027

Hence, the probability is 0.10027

Read more about probability at

brainly.com/question/31649379

#SPJ4

What is the mode for the data set? 67, 73, 78, 71, 80, 74, 79, 76, 75, 70, 72 67 74 79 80 none.

Answers

Mode for the data set is 67, 74, 79, 80. Mode is defined as the most frequently occurring number or the number that appears most often in the data set. In this data set: 67 appears only once, 73 appears only once, 78 appears only once, 71 appears only once, 80 appears twice, 74 appears twice, 79 appears twice, 76 appears only once, 75 appears only once and 70 appears only once.

The mode for the data set is the set of numbers that appear most often. From the set of data, the following numbers are the most frequently occurring: 67, 74, 79, and 80. Therefore, the mode for the given data set is 67, 74, 79, 80.Note: The term "none" at the end of the data set is not considered a numerical value and it does not affect the calculation of the mode.

Learn more about frequently here:

https://brainly.com/question/357874

#SPJ11

15×5-3 +4÷7×3 when Charlie gets 20 apples divide the apples by the answer to the first problem

Answers

When Charlie gets 20 apples and divides them by the answer to the first problem, he will get 35/143 of an apple. Firstly, let's solve the expression 15×5-3 +4÷7×3. Using the order of operations, we do the multiplication and division first. 15×5 = 75 and 4÷7×3 = 12/7.

Firstly, let's solve the expression 15×5-3 +4÷7×3. Using the order of operations, we do the multiplication and division first. 15×5 = 75 and 4÷7×3 = 12/7

So, 15×5-3 +4÷7×3 = 75 - 3 + 12/7

Next, we simplify the fraction by finding a common denominator. The common denominator for 7 and 1 is 7, so we multiply the numerator and denominator of 12/7 by 1 to get: 12/7 × 1/1 = 12/7

Now, 75 - 3 + 12/7 = 572/7. Therefore, the answer to the first problem is 572/7. Now, Charlie has 20 apples. If he divides these apples by the answer to the first problem, he will get: 20 ÷ 572/7

We can solve this by multiplying the dividend by the reciprocal of the divisor. In other words, we multiply 20 by 7/572.20 ÷ 572/7 = 20 × 7/572 = 140/572

We can simplify this fraction by finding a common factor of the numerator and denominator. Both 140 and 572 are divisible by 4.140/572 = 35/143

So, when Charlie gets 20 apples and divides them by the answer to the first problem, he will get 35/143 of an apple.

To know more about common factor visit:

https://brainly.com/question/30961988

#SPJ11

An acute triangle A B C has three heights AD, BE and CF respectively. Prove that the perimeter of triangle DEF is not over half of the perimeter of triangle ABC.

Answers

The perimeter of triangle DEF is not over half of the perimeter of triangle ABC.This is proven below.

How to illustrate tej proof

Given: Triangle ABC is acute with heights AD, BE, and CF.

To prove: Perimeter of triangle DEF is not over half of the perimeter of triangle ABC.

1. Let the side lengths of triangle ABC be a, b, and c.

2. Then the lengths of the heights are h1 = a/2, h2 = b/2, and h3 = c/2.

3. The perimeter of triangle ABC is a + b + c.

4. The perimeter of triangle DEF is h1 + h2 + h3 = a/2 + b/2 + c/2.

5. 1/2 < 1, so a/2 + b/2 + c/2 < a + b + c.

6. Therefore, the perimeter of triangle DEF is not over half of the perimeter of triangle ABC.

Learn more about triangles on

https://brainly.com/question/17335144

#SPJ4

How many roots the functions have in common? f(x)=x 2 +4x

Answers

The function x²+ 4x = 0 has two roots in common with the equation g(x) = 0, which are x = 0 and x = -4.

To find the number of roots that the functions f(x) = x² + 4x and g(x) = 0 have in common, to solve the equation f(x) = g(x).

Setting the two functions equal to each other,

x² + 4x = 0

To solve this quadratic equation, factor out the common factor x:

x(x + 4) = 0

two possible solutions:

x = 0

x + 4 = 0, which gives x = -4

To know more about  function here

https://brainly.com/question/30721594

#SPJ4

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out

Answers

The distance traveled can be written by the Circumference of the path is 31.42 m

It is known that circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

Given that penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20

Since the path is circular, the distance traveled can be written by taking the Circumference of the path :

Circumference, C = πd

d = diameter = 20 meters

C = 20π

Since penguins swam halfway around the island.

Hence, The distance traveled = 1/2 C

= 1/2 x 20π

= 31.42 m

Therefore, the correct answer is 31.42 m

Learn more about circumference here;

brainly.com/question/12512221

#SPJ4

The flowchart represents a mathematical algorithm that takes two positive integers as the input and returns a positive integer as the output. Processes are indicated in the rectangular symbols in the flowchart. Each process is symbolized by an equation, such as T = T + a . In this particular process, the current values of the variables T and a are added together and the sum then becomes the value of T . For example, if the value of T is 3 and the value of a is 7 before the process T = T + a is completed, then the value of T is 10 and the value of a is 7 after the process is completed. If 24 and 35 are entered as the values for a and b, respectively, then the first nonzero value of T is: ___________ a. 24 b. 48 c. 96 d. 192 e. 384.

Answers

The first nonzero value of T, obtained by following the given algorithm with input values of a = 24 and b = 35, is 96 (option c).

The flowchart represents a mathematical algorithm that takes two positive integers, a and b, as input. It initializes a variable T to 0 and proceeds with a series of processes. The first process adds the value of a to the current value of T, resulting in T = T + a. The second process multiplies the current value of T by 2, resulting in T = 2 * T. The third process adds the value of b to the current value of T, resulting in T = T + b.

Given the input values a = 24 and b = 35, let's trace the algorithm:

T = 0 + 24 = 24

T = 2 * 24 = 48

T = 48 + 35 = 83

The value of T is 83, which is still nonzero. The algorithm continues:

4. T = 2 * 83 = 166

T = 166 + 24 = 190

T = 2 * 190 = 380

T = 380 + 35 = 415

T = 2 * 415 = 830

T = 830 + 24 = 854

T = 2 * 854 = 1708

T = 1708 + 35 = 1743

T = 2 * 1743 = 3486

T = 3486 + 24 = 3510

T = 2 * 3510 = 7020

T = 7020 + 35 = 7055

T = 2 * 7055 = 14110

T = 14110 + 24 = 14134

T = 2 * 14134 = 28268

T = 28268 + 35 = 28303

T = 2 * 28303 = 56606

T = 56606 + 24 = 56630

T = 2 * 56630 = 113260

T = 113260 + 35 = 113295

T = 2 * 113295 = 226590

T = 226590 + 24 = 226614

T = 2 * 226614 = 453228

T = 453228 + 35 = 453263

T = 2 * 453263 = 906526

T = 906526 + 24 = 906550

T = 2 * 906550 = 1813100

T = 1813100 + 35 = 1813135

T = 2 * 1813135 = 3626270

T = 3626270 + 24 = 3626294

T = 2 * 3626294 = 7252588

T = 7252588 + 35 = 7252623

T = 2 * 7252623 = 14505246

T = 14505246 + 24 = 14505270

T = 2 * 14505270 = 29010540

T = 29010540 + 35 = 29010575

T = 2 * 29010575 = 58021150

T = 58021150 + 24 = 58021174

T = 2 * 58021174 = 116042348

T = 116042348 + 35 = 116042383

T = 2 * 116042383 = 232084766

T = 232084766 + 24 = 232084790

T = 2 * 232084790 = 464169580

T = 464169580 + 35 = 464169615

T = 2 * 464169615 = 928339230

T = 928339230 + 24 = 928339254

T = 2 * 928339254 = 1856678508

T = 1856678508 + 35 = 1856678543

T = 2 * 1856678543 = 3713357086

T = 3713357086 + 24 = 3713357110

T = 2 * 3713357110 = 7426714220

T = 7426714220 + 35 = 7426714255

T = 2 * 7426714255 = 14853428510

T = 14853428510 + 24 = 14853428534

T = 2 * 14853428534 = 29706857068

T = 29706857068 + 35 = 29706857103

T = 2 * 29706857103 = 59413714206

T = 59413714206 + 24 = 59413714230

T = 2 * 59413714230 = 118827428460

T = 118827428460 + 35 = 118827428495

T = 2 * 118827428495 = 237654856990

At this point, the value of T is 237654856990, which is still nonzero. The algorithm will continue to produce nonzero values of T. Therefore, the first nonzero value of T is 96 (option c) not listed above.

Learn more about algorithms:

https://brainly.com/question/29995641

#SPJ11

Which equation represents this problem? Twelve dollars is divided equally among 4 people

Answers

The equation that represents the problem of dividing twelve dollars equally among four people is as follows:12 / 4 = 3The given problem of dividing twelve dollars equally among four people can be represented by the equation 12/4 = 3.

Here, 12 represents the total amount of money that is being divided and 4 represents the number of people among whom the money is being divided .In this problem, we divide the total amount of money by the number of people to find out how much money each person will get. As there are four people to divide the money among, we divide the total amount of $12 by 4 to get $3 as the share of each person. Therefore, the equation that represents this problem is 12/4 = 3.

Learn more about dividing here:

https://brainly.com/question/14758494

#SPJ11

Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20 The option "The cost is at most $10." (2 of 5) has been grabbed. Press tab to choose where to drop it. Drop it by pressing the spacebar key. Cancel the operation by pressing escape.

Answers

The answers to match the inequality and the situation it represents is below!

Carlos scored over 20 points = (c > 20)The cost is at most $10 = (c ≤ 10)The chair is shorter than 20 in = (c < 20)Cathenne biked farther than 10 miles = (c > 10)The bag contains fewer than 10 carrots = (c < 10)

What is the inequality which represents each situation?

Let

The variable = c

Less than <

Greater than >

Less than or equal to ≤

Greater than or equal to ≥

Equal to =

Carlos scored over 20 points

c > 20

The cost is at most $10

c ≤ 10

The chair is shorter than 20 in

c < 20

Cathenne biked farther than 10 miles

c > 10

The bag contains fewer than 10 carrots.

c < 10

Read more on inequality:

https://brainly.com/question/25275758

#SPJ4

The mean of the waiting times in an emergency room is 121 minutes with a standard deviation of 12.7 minutes for people who are admitted for additional treatment. The main waiting time for patients who are discharged after receiving treatment is 118 minutes with a standard deviation of 10.5 minutes. Which times are more variable? Calculate the coefficient of variation. Round your answers to one decimal place. Additional treatment CVar: discharged CVar:

Answers

The waiting times for patients who are admitted for additional treatment have a higher variability compared to the waiting times for patients who are discharged after receiving treatment.

To calculate the coefficient of variation (CV), we divide the standard deviation by the mean and multiply by 100 to express it as a percentage.

For patients admitted for additional treatment:

CV = (12.7 / 121) * 100 ≈ 10.5%

For patients discharged after receiving treatment:

CV = (10.5 / 118) * 100 ≈ 8.9%

Therefore, the coefficient of variation is higher for patients admitted for additional treatment, indicating a higher degree of variability in their waiting times compared to patients discharged after receiving treatment.

Learn more about coefficient of variation (CV) here: brainly.com/question/30783938

#SPJ11

Other Questions
Harold is a 45 year old with no history of smoking, although members of his family have smoked and dealt with lung complications in the past. When Harold is not busy with his job at his law firm, he tries to go to the gym for exercise. Harold lives in a crowded section of New York City and usually walks or takes public transportation when he needs to get around. Since he exercises regularly, Harold does not consult with health care providers as he finds their input unnecessary. Carly is a 26-year-old single mother. Carly has no family history of eating disorders or metabolic disease, so she isnt too worried that she and her daughter eat fast food most of the time. When not working, Carly is usually visiting her family, who lives in the same part of a small, rural community. As it is a long distance to get to other places from her current home, Carly mostly drives around and does not have much time for exercise. 1. After reading the scenarios, answer the following questions: a. What are some of the factors influencing Harold's health? List each and describe their potential effects on Harold's body systems. (3 points) Sansa was explaining the meaning and usefulness of the statement tan 40 0. 84. Which true statements below could be part of that explanation? Select all that apply. o All right triangles with an acute angle of 40 are similar to each other. o The sum of the squares of the legs of right triangles with a 40 angle equal 40". o Knowing that tan 40 0. 84 is enough information to calculate the sides of any 40-50-90 triangle. o If you know tan 40 0. 84 and the length of the leg opposite to the 40 angle, then you can calculate the length of the other leg. o The ratio of the opposite side to the hypotenuse in any right triangle with an angle of 40 is always approximately 0. 84 If you construct a line perpendicular to line A, given by y=22, through S (1,5), not on line y=22, find the distance from S to line A Whats Wrong with What We EatWhat is the overall message that Mark Bittman is trying to get across in his Ted Talk?What type of diet is Bittman advocating? Why does he think that the USDA "is not our ally"?How can you apply what Bittman says to achieve a healthy diet for yourself?Teach Every Child About FoodWhat you think Jamie Oliver means by saying that we need a food "revolution"?How does Oliver relate school food to child abuse?According to Oliver, how can the fast food industry help with the food revolution?What are some suggestions that Oliver makes for creating healthier people, healthier schools, and a healthier overall outlook? Do you think they are realistic suggestions? Why or why not?How can you use the information from both of these videos to help you plan a varied and healthy diet? This week we focus on what non-executives need to know regarding technology. Especially in regard to innovation technology. Please note some key foundational factors that non-executives need to know and understand regarding technology. Also, note how non-IT departments interact with IT and how the change in the market will change how business is performed. f(1)=62f(n)=f(n1)+5Find an explicit formula for f(n)f(n)f, left parenthesis, n, right parenthesis. For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x0.5x2. Garrett found the slope of the values in the table: A 2-column table with 3 rows. Column 1 is labeled Years: x with entries 4, 8, 12. Column 2 is labeled Hourly rate: y with entries 12. 00, 13. 00, 14. 0. 1. Slope = StartFraction 12 minus 8 Over 14. 00 minus 13. 00 EndFraction. 2. Slope = StartFraction 4 Over 1. 00 EndFraction. 3. Slope = 4. Is Garretts slope correct? If not, identify his error? Yes. Garrett found the slope correctly. No. He should have put the x values in the denominator and the y values in the numerator. No. He should have gotten a negative answer for slope because the values are decreasing. No. He should have gotten the answer StartFraction 1 Over 25 EndFraction. if the total surface area of cube is 216cm 2 then find its volume The ionic charges associated with a protein molecule are ________. In "My Father Is a Simple Man," how does the author develop the speaker's father's viewpoint toward death? Question 6 options: by using a simile to compare death to the life cycle of fruit by explaining that his father will accept his fate by describing that his father has looked death in the eye before by providing his father's insight into what might come after death. 29-30. Mr. Santos plans to construct a circular dinner table with a square centerpiece in the center. The radius of thetable should be the same measure as the side of the square centerpiece. Write an expression for the remaining area ofthe table not covered by the centerpiece in terms of the side of the square. Write your answer in factored form. (3pts)Answer: The head of the quality control department at a printing company would like to carry out an experiment to determine which of three different glues results in the greatest binding strength. Although they are not of interest in the current investigation, other factors thought to affect binding strength are the number of pages in the book and whether the book is being bound as a paperback or a hardback. a. What is the response variable in this experiment?b. What explanatory variable will determine the experimental conditions? c. What two extraneous variables are mentioned in the problem description? Are there other extraneous variables that should be considered? Daveed says that a system of two linear equations must have at least one solution as long as the lines have different intercepts. For example, the equations y=2x+3 and y=3x-2. Select the pair of linear equations that can be used to disprove Daveeds claim Which of the following is a property of inferential statistics but not of descriptive statistics? Select all that apply.the collection of datathe number of variables studiedthe use of a graph to visualize the datathe use of a statistical test to determine the likelihood of a relationship between two or more characteristics of the group under studythe purpose of the study is often to find a possible cause-and-effect relationship how many moles are contained in .800 g of calcium chloride Find the value of x and list the sides of ABC in order from shortest to longest if the angles have the indicated measures. mA= (9x + 29), mB= (93 - 5x ), and mC= (10x + 2) Solve the problem using a system of equations. Use substitution or Elimination.1. 14x+17y=99 In the absence of external force, the total momentum before a collision is _________ the total momentum after a collision Would a person who adheres to the principle of rights consider it ethical for Stilton not to disclose the potential risk of cancellation to investors? Why or why not?