Shirley got #4000 loan for 2years. She paid #1200 as interest what was the interest rate

The total surface area of the rectangular prism is Area = 103.12 in².

Given that for a rectangular prism,

Length = 7.1 in

Width   = 2.8 in

Height  = 3.2 in

Since,

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle form and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section. The study of forms and the arrangement of objects is known as geometry. The surface area and volume of a rectangular prism are similar to those of other three-dimensional forms.

Since we know that,

A=2(wl+hl+hw)

Here we have,

L  = 7.1

W = 2.8

H  = 3.2

    A=2(wl+hl+hw)

⇒  A=2(2.8x7.1 + 3.2x7.1 + 3.2x2.8)

⇒  A = 2x51.56

        = 103.12 in²

Hence,

Area = 103.12 in²

To learn more about prism visit:

https://brainly.com/question/2918181

#SPJ4

The missing figure is attached below:

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

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

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

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

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

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 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

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

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

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

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

Given that a simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. If the mean of the sample is 18.7, we are to determine the 95% confidence interval for the population mean.

Step-by-step solution:The formula for calculating the margin of error is:Margin of Error = z * (standard deviation/sqrt(n))where z is the z-score, σ is the population standard deviation, n is the sample size, and sqrt is the square root. The margin of error is the amount of error that is allowed for a given confidence level.Therefore, z * (standard deviation/sqrt(n)) = 5.9Since the sample size is small (n < 30), we will assume that the population standard deviation is unknown and use the t-distribution instead of the normal distribution.

We are given that the sample mean is 18.7, so the equation becomes:t * (standard deviation/sqrt(n)) = 5.9We know that we are calculating this for a 95% confidence level, so we look up the t-score for a 95% confidence level and n-1 degrees of freedom.Using a t-table or a calculator, we find that the t-score for a 95% confidence level and 4 degrees of freedom is 2.776. Therefore, the equation becomes:2.776 * (standard deviation/sqrt(n)) = 5.9We are given the sample mean as 18.7, and since the population mean is also 18.7, the equation can be simplified as follows

To know more about population visit :

https://brainly.com/question/15889243

#SPJ11

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

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

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

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.

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 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

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

There would be 318 grams of sugar in a 3-liter bottle of soda. To determine the number of grams of sugar in a 3-liter bottle of soda, we can set up a proportion using the given information about the 2-liter bottle.

Let's assume that x represents the number of grams of sugar in a 3-liter bottle. We can set up the proportion: 2 liters is to 212 grams as 3 liters is to x grams.

Using cross-multiplication, we have 2 * x = 3 * 212. Solving for x, we get: x = (3 * 212) / 2 = 636 / 2 = 318 grams.Therefore, there would be 318 grams of sugar in a 3-liter bottle of soda.

Learn more about proportion here:- brainly.com/question/31548894

#SPJ11

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

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

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

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

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

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 length of side MN from triangle MNP is 30.78 units.

From the given figure,

∠M = 90°

∠P = 72°

∠N = 18°

PM = 10 units

To solve this problem we need to find the length of side NP first using cos formula to angle P.

Cos ∠P = PM/NP

Cos 72° = 10/NP

0.309 = 10/NP

NP = 32.36 units

Next, we will use the same approach to angle N:

Cos ∠N = MN/NP

Cos 18° = MN/32.36

MN = 0.951 × 32.36

MN = 30.78 units

The length of side MN from triangle MNP is 30.78 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ4

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

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

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

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 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