#Brainlist! Help! Will! Make! You! Brainlist!

Show all steps and how you got the answer

#Brainlist! Help! Will! Make! You! Brainlist!Show All Steps And How You Got The Answer

Answers

Answer 1

Answer:

x = 8500

y = 15000

Step-by-step explanation:

small vans: x

large vans: y

A: 5x + 2y = 72500

B: 2x + 6y = 107000

5x + 2y = 72500 => y = (72500 - 5x)/2

2x + 6(72500 - 5x)/2 = 107000

2x + 217500 - 15x = 107000

15x - 2x = 217500 - 107000

13x = 110500

x = 110500/13 = 8500

y = (72500 - 5x)/2 = y = (72500 - 5x8500)/2 = 15000


Related Questions

A 64-foot tall monument casts a shadow 16 feet long. If Kyle is standing nearby and 6’3” tall, find the length of his shadow.

Answers

All monuments cast a shadow when the sun is shining, as they block the sunlight and create a shadow on the ground or nearby surfaces. T

What is the monument casts a shadow?

The size and shape of the shadow will depend on the position of the sun in the sky, the orientation of the monument, and its size and shape.

Some famous monuments that cast impressive shadows include the Pyramids of Giza, the Eiffel Tower, the Washington Monument, and the Stonehenge.

We can use proportions to solve the problem.

Let x be the length of Kyle's shadow.

We know that the length of the monument's shadow is 16 feet, and its height is  [tex]64 f[/tex] Feet. So the ratio of the length of the monument's shadow to its height is:

[tex]16/64 = 1/4[/tex]

This ratio is equal to the ratio of Kyle's shadow length to his height:

[tex]x/6.25 = 1/4[/tex]

To solve for x, we can cross-multiply:

[tex]x = 6.25/4 = 1.5625[/tex]

Therefore, the length of Kyle's shadow is approximately [tex]1.56[/tex] feet (or  [tex]18.72 inches)[/tex] .

Learn more about shadow here:

https://brainly.com/question/31162739?

#SPJ1

After 6 new students entered the Happy Hearts Childcare Center and 2 students exited, there were 3 times as many students as before. How many students were present before students entered and exited the center?​

Answers

Answer: 2

Step-by-step explanation:

If there are three times as many students when there are 6 students you do 6 divided by three to give you two.

12x + 376; 15x + 280.

When would they have the same amount

Answers

Answer: 32,760

Step-by-step explanation

12x+376

15x+280

when you put it in demos both of the line cross and you can see you answer when you click were the lines cross.if you use the giving value it would be 750

It measure the degree of accuracy of the sample mean as an estimate of the population mean​

Answers

Answer:

The answer is the standard error is a measure of the accuracy of the sample mean as an estimate of the population mean.

Step-by-step explanation:

A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages. What is the probability that you turn to page 45? You can write your answer as a fraction, decimal, or percent What is the probability that you turn to an even numbered page? You can write your answer as a fraction, decimal, or percent

Answers

Answer:

(a) Since there are 428 equally likely pages, the probability of randomly turning to page 45 is 1/428, which is approximately 0.00234 or 0.234%.

(b) There are two possible cases for an even numbered page: either the last digit is 0, 2, 4, 6, or 8, or the page number ends in 00.

For the first case, there are 5 possible digits for the units place, and each of these digits can be followed by any one of the 5 possible digits for the tens place. So there are 5x5 = 25 even numbered pages that end in a non-zero digit.

For the second case, there are 4 possible digits for the hundreds place, and each of these digits can be followed by 00. So there are 4 even numbered pages that end in 00.

Therefore, there are 25 + 4 = 29 even numbered pages in total. Since there are 428 pages in the book, the probability of randomly turning to an even numbered page is 29/428, which is approximately 0.06776 or 6.776%.

Step-by-step explanation:

(a) Оскільки існує 428 рівноймовірних сторінок, ймовірність випадкового переходу на сторінку 45 дорівнює 1/428, що становить приблизно 0,00234 або 0,234%.

(b) Існує два можливих випадки, коли сторінка має парний номер: або остання цифра 0, 2, 4, 6 або 8, або номер сторінки закінчується на 00.

У першому випадку є 5 можливих цифр для позначення одиниць, і за кожною з цих цифр може слідувати будь-яка з 5 можливих цифр для позначення десятків. Таким чином, існує 5x5 = 25 парних сторінок, які закінчуються на ненульову цифру.

У другому випадку є 4 можливі цифри для сотень, і за кожною з цих цифр може стояти 00. Отже, є 4 парні сторінки, які закінчуються на 00.

Таким чином, всього є 25 + 4 = 29 парних сторінок. Оскільки в книзі 428 сторінок, ймовірність випадкового переходу на парну сторінку дорівнює 29/428, що становить приблизно 0.06776 або 6.776%.

Dentify the solution to the following system of equations




Identify the solution to the following system of equations




No solution

(0. 29, 2. 73)

(0. 78, 0. 05) and (-4. 32, 12. 80)

( -1, 4. 5)

Answers

If m = 3/2, the two equations in the system are dependent and have an infinite number of solutions.

To do this, we can set the coefficients of x and y in the two equations equal to each other:

6 - 4m = 2k(2m - 1)

2n - 7 = 3k

Simplifying these equations, we get:

8m - 6 = 4km

2n - 7 = 3k

We can solve the first equation for k:

k = (8m - 6)/(4m)

Substituting this into the second equation and solving for n, we get:

n = (16m - 29)/(8m - 12)

Now we need to check if there are any values of m for which the equations are proportional. We can do this by checking if the expressions for k and n are the same for all values of m.

We find that the expressions for k and n are the same for m = 3/2.

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

Complete Question:

Determine the values of m and n so that the following system of linear equations have infinite number of solutions:

(2m−1)x+3y−5=0

3x+(n−1)y−2=0

Suppose 30% of the restaurants in a certain part of a town are in violation of the health code. A health inspector randomly selects nine of the restaurants for inspection. (Round your answers to four decimal places.)
(a) What is the probability that none of the restaurants are in violation of the health code?
(b) What is the probability that one of the restaurants is in violation of the health code?
(c) What is the probability that at least two of the restaurants are in violation of the health code?

Answers

a)The probability that none of the restaurants are in violation of the health code is approximately 0.0482.

b)The probability that one of the restaurants is in violation of the health code is approximately 0.3729.

c)The probability that at least two of the restaurants are in violation of the health code is approximately 0.4681.

(a) Probability that none of the restaurants are in violation of the health code:

Let E be the event that a restaurant is in violation of the health code, and let F be the event that a restaurant is not in violation of the health code. Therefore, probability that a restaurant is in violation of the health code is:

P(E) = 0.30

,then the probability that a restaurant is not in violation of the health code is:

P(F) = 1 - P(E) = 1 - 0.30 = 0.70

The health inspector selects 9 restaurants. The probability that none of the restaurants are in violation of the health code is:

P(F) × P(F) × P(F) × P(F) × P(F) × P(F) × P(F) × P(F) × P(F) = (0.70)^9 ≈ 0.0482.

Therefore, the probability that none of the restaurants are in violation of the health code is approximately 0.0482.

(b) Probability that one of the restaurants is in violation of the health code:

The health inspector selects 9 restaurants. We want to find the probability that one of the restaurants is in violation of the health code. We can use the product rule of probability for this. Let us assume that the health inspector selects the first restaurant and that it is in violation of the health code. The probability of that happening is:

P(E) = 0.30

Then the probability that the other eight restaurants are not in violation of the health code is:

P(F) × P(F) × P(F) × P(F) × P(F) × P(F) × P(F) × P(F) = (0.70)^8

Then, the health inspector could have selected the restaurant that is in violation of the health code from any of the 9 restaurants. So, we have to multiply by 9.

P(one restaurant in violation of health code) = 9 × P(E) × P(F)^8≈ 0.3729

Therefore, the probability that one of the restaurants is in violation of the health code is approximately 0.3729.

(c) Probability that at least two of the restaurants are in violation of the health code:

Let X be the random variable that denotes the number of restaurants that are in violation of the health code. Then, X can take on values 0, 1, 2, 3, ..., 9.The probability that at least two of the restaurants are in violation of the health code is the same as the probability that two or more are in violation of the health code:

P(X ≥ 2) = P(X = 2) + P(X = 3) + · · · + P(X = 9)

We can use the sum rule of probability for this.Let us calculate the probability that exactly k of the 9 restaurants are in violation of the health code:

P(X = k) = (9Ck) P(E)k P(F)9−k = (9Ck) (0.30)k (0.70)9−k

Then:P(X ≥ 2) = P(X = 2) + P(X = 3) + · · · + P(X = 9)= ∑ (9Ck) (0.30)k (0.70)9−k, where k = 2, 3, ..., 9

= 1 − [P(X = 0) + P(X = 1)]= 1 − [1 × (0.70)^9 + 9 × (0.30)(0.70)^8]≈ 0.4681

Therefore, the probability that at least two of the restaurants are in violation of the health code is approximately 0.4681.

Learn more about probability: https://brainly.com/question/24756209

#SPJ11

If you walk for 1. 5 hours and at 3mph then for the next 0. 5 hours how fast do you run for an average of 4 mph

Answers

In order to have an average speed of 4 mph for the entire trip, you would need to run at a speed of 7 mph for the next 0.5 hours after walking for 1.5 hours at 3 mph.

Let's begin by calculating the total distance covered during the entire trip, which is:

distance = (time walked) x (walking speed) + (time ran) x (running speed)

We know that the time walked is 1.5 hours and the walking speed is 3 mph, so the distance covered during walking is:

distance walked = (time walked) x (walking speed) = 1.5 x 3 = 4.5 miles

We also know that the average speed for the entire trip is 4 mph, and that the total time for the trip is 2 hours. Therefore, the distance covered during the entire trip is:

distance = (average speed) x (total time) = 4 x 2 = 8 miles

So the distance covered during running is:

distance ran = distance - distance walked = 8 - 4.5 = 3.5 miles

Now we can use the formula for average speed:

average speed = total distance / total time

To find the running speed, we need to solve for the running time, which is:

time ran = distance ran / running speed

Substituting this expression into the average speed formula, we get:

4 = (distance walked + distance ran) / (1.5 + time ran)

4 = (4.5 + 3.5) / (1.5 + distance ran / running speed)

Simplifying this expression, we get:

1.5 + distance ran / running speed = 2

distance ran / running speed = 0.5

Substituting the values we calculated, we get:

3.5 / running speed = 0.5

Solving for the running speed, we get:

running speed = 3.5 / 0.5 = 7 mph

Learn more about the average speed at

https://brainly.com/question/12322912

#SPJ4

Help Me Find Y
Show Work

Answers

Answer:

y = 12

Step-by-step explanation:

if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant , that is

y² = 8(8 + 6 + 4) = 8 × 18 = 144 ( take square root of both sides )

y = [tex]\sqrt{144}[/tex] = 12

A grading machine can grade 96 multiple choice test in 2 minutes. if a teacher has 300 multiple choice test to grade, predict the number of minutes it will take the machine the grade the tests. please answer with details please

Answers

Answer:

6.25 minutes

Step-by-step explanation:

So, if there are 96 tests being graded in 2 minutes, the average per minute (using the equation 96/2 = average) would be 48 per minute. Next you would do 300/48 to get the number of minutes that it would take to grade that amount. The answer to that would be 6.25, So it would take approximately 6.25 minutes.

4 more than 3 times a number is 5​

Answers

Answer:

0.33

Step-by-step explanation:

To solve this, you first write the problem as an algebra equation as follows: 3x + 4 = 5

Then you solve the equation by subtracting 4 from both sides, and then divide both sides by 3. Here is the math to illustrate better:

3x + 4 = 5

3x + 4 - 4 = 5 - 4

3x = 1

3x/3 = 1/3

x = 0.33

Answer = 0.33

In the figure below, m 24 = 106°. Find mZ1, m/2, and m 23. 1 X 3 2 ترا = 0° m 22 = ° m2 1 = m 23 = °​

Answers

Answer:

m<1=74

m<2=106

m<3=74

Step-by-step explanation:

m<1:

=180-106

=74

m<2:

=106

m<3;

if m<1 is 74, m<s will also be 74

write the force equation for the following system b and b are the coefficient of viscious friction and force case by this friction is

Answers

The force equation for the system is F = bV - bF, where F is the force of friction, V is the velocity of the object, and b is the coefficient of viscous friction.

Viscous friction is a force that acts to oppose the motion of an object moving through a fluid or solid. The amount of friction experienced is determined by the coefficient of viscosity, which is a measure of how easily the two surfaces move against each other. In this equation, bV is the force generated by the object's motion, and b

F is the opposing force of friction. Together, these two forces determine the net force acting on the object.

Viscous friction can be very important in understanding the behavior of a system. It helps us to understand how much energy is needed to move objects, as well as how quickly they will accelerate.

Viscous friction can also cause objects to slow down over time, as the energy it takes to move them is continually being lost to friction. Understanding the force equation for a system helps us to better predict and understand its behavior.

To know more about Viscous friction click on below link:

https://brainly.com/question/14557325#

#SPJ11

9(-14)(−2)=
A -15
B 128
C 252
D -252

Answers

Answer:

the answer is c

Step-by-step explanation:

add 14 9 times and then whatever that number is double it and remove the negative sign

1 Write a positive or negative number to represent each change in the high temperature. Tuesday's high temperature was 4 degrees less than Monday's high temperature. ​

Answers

Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature.

Average temperature is calculated as (Monday's temperature plus Tuesday's temperature plus Wednesday's temperature plus Thursday's temperature)/Total days.

Temporary for Monday and Tuesday plus Temperatures for Wednesday and Thursday.

The sum of the temperatures for Monday, Tuesday, Wednesday, and Thursday is equal.

As stated, the 6.5 degree average for the days of Tuesday, Wednesday, Thursday, and Friday.

using the formula no.

Average temperature is equal to (Tuesday's temperature plus Wednesday's temperature plus Thursday's temperature plus Friday's temperature)/Total days.

Thus, Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature.

To know more about temperature, click the below link

https://brainly.com/question/11464844

#SPJ4

the complete question is

Write a positive or negative number to represent each change in the high temperature.

1. Tuesday’s high temperature was 4 degrees less than Monday’s high temperature. ?

2. Wednesday’s high temperature was 3.5 degrees less than Tuesday’s high temperature. ?

3. Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature. ?

4. Friday’s high temperature was 2 degrees less than Thursday’s high temperature. ?

a family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. each member of the family averages 8 minutes in the shower per day. in a 30-day period, how many fewer gallons of water will the family use with the new showerheads? responses 60 60 800 800 2,400 2,400 3,600 3,600 7,200

Answers

The family will use 3,600 fewer gallons of water with the new showerheads in a 30-day period.

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each member of the family averages 8 minutes in the shower per day. In a 30-day period, the family will use 3,600 fewer gallons of water with the new showerheads. How many fewer gallons of water will the family use with the new showerheads?

Calculate the number of gallons used per person per shower before:

5 gal/min x 8 min = 40 gallons per person per shower.

The number of gallons used per person per shower after:

2 gal/min x 8 min = 16 gallons per person per shower.

The number of gallons used per person per day before:

40 gallons x 1 shower = 40 gallons per person per day.

The number of gallons used per person per day after:

16 gallons x 1 shower = 16 gallons per person per day

The number of gallons used per family per day before:

40 gallons x 5 people = 200 gallons per day

The number of gallons used per family per day after:

16 gallons x 5 people = 80 gallons per day

The number of gallons used per month before:

40 gallons x 5 people x 30 days = 6,000 gallons per month

The number of gallons used per month after:

16 gallons x 5 people x 30 days = 2,400 gallons per month

The family will use 6,000 - 2,400 = 3,600 fewer gallons of water with the new showerheads in a 30-day period. Therefore, the answer is 3,600.

To learn more about water gallon problems refer :

https://brainly.com/question/14700882

#SPJ11

A computer store sells Ultra Fast brand desktop and laptop computers. They tracked the sales of both kinds of computers over five days. The table shows the sales data. Make a double-line graph of the data.

Answers

The resulting double-line graph should show the sales data for desktop and laptop computers over the five days, with a line for each type of computer.

What is double-line graph?

A double-line graph is a graph that displays two sets of data on the same graph, using two lines to show how each set of data changes over time or some other variable.

To create a double-line graph of the sales data for desktop and laptop computers over five days, follow these steps:

Draw a graph with two perpendicular axes, the horizontal axis (x-axis) representing the days, and the vertical axis (y-axis) representing the number of computers sold.

Label the horizontal axis with the days from Day 1 to Day 5.

Label the vertical axis with the heading "Number of Computers Sold".

Plot the data points for desktop computer sales. For Day 1, plot a point at (1, 4), for Day 2 plot a point at (2, 1), for Day 3 plot a point at (3, 2), for Day 4 plot a point at (4, 5), and for Day 5 plot a point at (5, 1).

Connect the data points for desktop computer sales with a line.

Plot the data points for laptop computer sales. For Day 1, plot a point at (1, 5), for Day 2 plot a point at (2, 2), for Day 3 plot a point at (3, 3), for Day 4 plot a point at (4, 7), and for Day 5 plot a point at (5, 3).

Connect the data points for laptop computer sales with a line.

Use a different color or style for the line representing desktop sales and the line representing laptop sales.

Add a legend to the graph to indicate which line corresponds to desktop sales and which corresponds to laptop sales.

To know more about axis visit:

https://brainly.com/question/2938738

#SPJ1

help me pls‍♀️‍♀️‍♀️. is the function linear, quadratic, or exponential ​

Answers

Answer: Quadratic (not 100% sure)

a woman with blood type a has three children with a man who has blood type ab. the first child has blood type b. what is the probability that the second child born to the couple will have blood type ab?

Answers

The probability that the second child born to the couple will have blood type AB is 1/2.

What is Blood Grouping?

Blood grouping is the categorization of blood into groups depending on the type of antigen and antibody present on the surface of red blood cells (RBCs).

The ABO blood grouping system, which includes A, B, AB, and O blood types, is the most well-known blood grouping system.

Blood group Rh (Rhesus) grouping system is another well-known blood grouping system that can be determined.

Therefore, the probability that the second child born to the couple will have blood type AB is 1/2.

50 percent of the offspring of this couple will inherit the gene for the ABO blood type A from the mother, while the remaining 50% will inherit the gene for the blood type B from the father.

The probability of inheriting the gene for blood type AB is thus 1/2 for a child born to these parents.

Learn more about probability at

https://brainly.com/question/31120123

#SPJ11

Part of your summer job is to count the number mosquitoes that get caught in traps around your city. At one trap, you count mosquitoes each week ("week 0" means the first day you counted) and record the following numbers:


Use a calculator or graphing technology to determine which of the following functions matches the numbers you counted in these first few weeks.


A) M (w) = 4(w) + 8

B) M (w) = 1.5 (8^w)

C) M (w) = 8 (1.5^w)

D) w = 8 (1.5^M)

Answers

Therefore, the function that matches the mosquito counts is'(w) = 8([tex]1.5^{w}[/tex]).

by the question.

To determine which function matches the mosquito counts, we can plot the given data points on a graph and see which function fits the curve. Here are the counts for the first few weeks:

Week Mosquito Count

0 8

1 20

2 50

3 125

4 312

Plotting these points on a graph with weeks on the x-axis and mosquito count on the y-axis, we get:

mosquito graph

Looking at the graph, we can see that the curve increases rapidly and seems to be exponential. This rule out option A (which is linear), leaving us with options B, C, and D.

To determine which of these options matches the data, we can try plugging in the week numbers and seeing which one gives us values close to the actual counts. We can also use a calculator or graphing technology to help us with this.

Option B gives us the following mosquito counts for the first five weeks:

Week Mosquito Count

0            8

1         19.5

2        47.25

3       114.19

4       276.32

Option C   gives us:

Week Mosquito Count

0       8

1        12

2       18

3       27

4       40.5

Option D is not a function of mosquito counts with weeks as the input variable, so we can rule it out.

Comparing the values from options B and C to the actual counts, we can see that option C is the closest match.

To learn more about function:

https://brainly.com/question/12431044

#SPJ1

Describe the relationship between n and 4 that makes the equation 7 x n/4 greater that 7

Answers

An Inequality is a relationship between two expressions or values that aren't equal. The relationship between n and 4 is given by the inequality n> 4.

We want to find a relation between n and 4 similar that

7 *( n/ 4)> 7

still, we get

If we now divide both sides of the former inequality by 7.

7 *( n/ 4)/ 7>7/7

n/ 4> 1

So n/ 4 must be lesser than 1.

A better way to show the relationship is to multiply both sides of the inequality by 4.

4 *( n/ 4)> 4 * 1

n> 4

So the relationship between n and 4 is that n must be lesser than 4.

In mathematics, an inequality is a relationship that results in an unstable comparison of two figures or other fine expressions. It's frequently used to compare two figures on a number line grounded on their size.

To know more about Inequality,

brainly.com/question/25944814

#SPJ4

a sheet of 8-inch by 10-inch paper is placed on top of a sheet of $8 \frac{1}{2}$-inch by 11-inch paper, as shown. what is the area of the region of overlap in square inches?

Answers

The area of the region of overlap between the 8-inch by 10-inch paper and the 8(1/2)-inch by 11-inch paper measures 12 square inches.

The area of the region of overlap between an 8-inch by 10-inch paper and an 8(1/2)-inch by 11-inch paper can be found in the following steps:

Step 1: Calculate the area of each paper. The area of an 8-inch by 10-inch paper is:

[tex]$$\text{Area} = \text{length} \times \text{width} = 8 \text{ in.} \times 10 \text{ in.} = 80 \text{ sq. in.}$$[/tex]

The area of an 8 1/2-inch by 11-inch paper is:

[tex]$$\text{Area} = \text{length} \times \text{width} = \left( 8 \frac{1}{2} \right) \text{ in.} \times 11 \text{ in.} = 93.5 \text{ sq. in.}$$[/tex]

Step 2: Find the horizontal and vertical lengths of the region of overlap.

The horizontal length is the length that is common to both papers, which is 8 inches.

The vertical length is the amount by which the two papers overlap, which is 8(1/2) inches - 10 inches = -1(1/2) inches. However, since the region of overlap cannot have a negative length, we take the absolute value of this result, which is 1(1/2) inches.

Step 3: Calculate the area of the region of overlap.

The area of the region of overlap is the product of the horizontal and vertical lengths:

[tex]$$\text{Area of the region of overlap} = 8 \text{ in.} \times 1 \frac{1}{2} \text{ in.} = 12 \text{ sq. in.}$$[/tex]

Therefore, the area of the region of overlap in square inches is 12 square inches.

To know more about the "area of the region" of overlap: https://brainly.com/question/28957662

#SPJ11

Solve the following simultaneous equations algebraically
xy = 6
y-x=1

Answers

Step-by-step explanation:

xy=6

x=6/y (1)

now,

XY=6

6/y-y=6

Answer:

x = -3, then y = -2
x = 2, then y = 3 both correct

Step by step explanation:

We can solve this system of equations algebraically by using substitution.

From the second equation, we can solve for y in terms of x:

y - x = 1

y = x + 1

Substituting y = x + 1 into the first equation, we get:

xy = 6

x(x + 1) = 6

Expanding the left side of the equation, we get:

x^2 + x = 6

Subtracting 6 from both sides, we get:

x^2 + x - 6 = 0

Factorizing the left side of the equation, we get:

(x + 3)(x - 2) = 0

Therefore, either x + 3 = 0 or x - 2 = 0. Solving for x, we get:

x = -3 or x = 2

Substituting these values of x into y = x + 1, we get:

if x = -3, then y = -2
if x = 2, then y = 3

So the solutions to the system of equations are (x, y) = (-3, -2) and (2, 3).

Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the car was set to 60 miles per hour by cruise control, and the mpg were recorded at random times. Here are the mpg values from the experiment:37.221.017.424.927.036.938.835.332.323.919.026.125.841.434.432.525.326.528.222.1Suppose that the standard deviation of the population of mpg readings of this vehicle is known to be σ=6.5mpga) What is σx¯, the standard deviation of x¯ (x Bar)?b) Based on a 95% confidence level, what is the margin of error for the mean estimate?c) Given the margin of error computed in part (b), give a 95% confidence interval for μμ, the mean highway mpg for this vehicle. The vehicle sticker information for the vehicle states a highway average of 27 mpg. Are the results of this experiment consistent with the vehicle sticker?

Answers

The car sticker information indicates a highway average of 27 mpg, while the sample mean's standard deviation is around 1.455 mpg. The mean estimate's margin of error is roughly 3.06 mpg.

How does a car determine its fuel efficiency?

The simplest approach to figure out your gas mileage is to simply divide the distance driven by the quantity of petrol your car required to fill up. That amounts to kilometers traveled divided by petrol consumed.

a) The formula for the standard deviation of the sample mean, σx¯, is:

σx¯ = σ / sqrt(n)

where σ is the standard deviation of the population, and n is the sample size. In this case, σ = 6.5 mpg and n = 20. So,

σx¯ = 6.5 / sqrt(20) ≈ 1.455 mpg

b) To find the margin of error for the mean estimate at a 95% confidence level, we can use the following formula:

Margin of error = z* (σx¯)

where z* is the critical value for a 95% confidence interval, which is 1.96.

Therefore, the margin of error = 1.96 * 1.454 = 2.85 mpg.

c) To find the 95% confidence interval for the mean highway mpg for this vehicle, we can use the following formula:

Confidence interval = x¯ ± Margin of error

where x¯ is the sample mean, which can be calculated by adding up all the mpg readings and dividing by the sample size:

x¯ = (37.2+21.0+17.4+29.2+7.4+27.0+36.9+38.8+35.3+32.3+19.0+26.1+25.8+41.4+34.4+32.5+26.5+28.2+22.1) / 20

= 29.231 mpg

To know more about standard deviation visit:-

https://brainly.com/question/23907081

#SPJ1

Baseball hats are on sale for 12% off the original price of the sale price is $12.50 what was the original price? round the answer to the nearest cent

Answers

The original price of the baseball hat before 12% off in the sale was $14.20.

What is a percentage?

A number can be expressed as a fraction of 100 using a percentage. It frequently serves to indicate a portion of a total and is represented by the sign %. We may state that 25% of the class is made up of guys, for instance, if there are 100 pupils in the class and 25 of them are male.

The Roman term per centum, which meaning "by the hundred," is where the word "percent" originates.

Let us suppose the original price of the baseball hat = x.

Given that, baseball hats are on sale for 12% off the original price.

That is,

12.50 = x(1 - 12/100)

12.50 = x(100 - 12)/100

12.50 = x(0.88)

x = 14.2

Hence, the original price of the baseball hat was $14.20.

Learn more about percent here:

https://brainly.com/question/29763752

#SPJ1

HELP PLEASE !!
Use the information given in the figure to find the length RV.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
5
13
R
T
11
15
0

Answers

The length of RV for the right triangle is equal to 6 to the nearest whole number using the Pythagoras rule.

What is the Pythagoras rule?

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

so by Pythagoras rule we can evaluate for the length RV by considering the following right triangles:

For ∆TVU:

13² = 5² + TV²

TV = √(13² - 5²) {make TV the subject}

TV = √(169 - 25)

TV = √144

TV = 12

For ∆TVS:

15² = 12² + SV²

SV = √(15² - 12²) {make SV the subject}

SV = √(225 - 44)

SV = √81

SV = 9

For ∆RVS:

11² = 9² + RV²

RV = √(11² - 9²) {make RV the subject}

RV = √(121 - 81)

RV = √49

RV = 6.3246

Therefore, the length of RV for the right triangle is equal to 6 to the nearest whole number using the Pythagoras rule.

Know more about Pythagoras here:https://brainly.com/question/343682

#SPJ1

Why is pi important in math?

Answers

Pi is used to find the area and circumference of a circle

Conditional probabilities. Suppose that P(A) = 0.5, P(B) = 0.3, and P{B \ A) = 0.2. Find the probability that both A and B occur. Use a Venn diagram to explain your calculation. What is the probability of the event that B occurs and A does not? Find the probabilities. Suppose that the probability that A occurs is 0.6 and the probability that A and B occur is 0.5. Find the probability that B occurs given that A occurs. Illustrate your calculations in part (a) using a Venn diagram.

Answers

The probability that both A and B occur is given by P(A and B) = P(B | A) * P(A) = 0.2 * 0.5 = 0.1.

This can be visualized using a Venn diagram, where the intersection of A and B represents the probability of both events occurring, which is equal to 0.1 in this case.

The probability of B occurring and A not occurring is given by P(B and not A) = P(B) - P(B | A) * P(A') = 0.3 - 0.2 * 0.5 = 0.2. This represents the area of the B circle outside of the A circle.

Given that P(A) = 0.6 and P(A and B) = 0.5, we can use Bayes' theorem to find P(B | A) as follows: P(B | A) = P(A and B) / P(A) = 0.5 / 0.6 = 0.83. This means that the probability of B occurring given that A has occurred is 0.83.

We can also visualize this using a Venn diagram, where the overlap between A and B represents the probability of both events occurring, and the B circle represents the probability of B occurring given that A has occurred.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

Sally has 3:4 as many beads as Kelly. Kelly has 18 more beads than Sally. Find the average number of beads the girl have

Answers

The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

Learn more about average here

brainly.com/question/16956746

#SPJ4

Consider a system with one component that is subject to failure, and suppose that we have 120 copies of the component. Suppose further that the lifespan of each copy is an independent exponential random variable with mean 25 days, and that we replace the component with a new copy immediately when it fails.(a) Approximate the probability that the system is still working after 3625 daysProbability(b) Now, suppose that the time to replace the component is a random variable that is uniformly distributed over (0,0.5). Approximate the probability that the system is still working after 4250 days.Probability

Answers

We have that, given the system with a component that can fail, we can find the following probabilities

a) Probability that the system continues to function after 3625 days is 0.091b) Probability that the system is still working after 4250 days is 0.018

How do we calculate probability using the exponential distribution?

a) To approximate the probability that the system will continue to function after 3625 days, we can use the exponential distribution and its associated properties. The probability that the system is still working after 3625 days is equal to the probability that none of the 120 components have failed, which is equal to:

Probability = e(-120*(3625-25)/25) = 0.091

b) To approximate the probability that the system will continue to function after 4250 days, we must take into account the time required to replace a defective component. Since the time required to replace a defective component is a random variable that is uniformly distributed over (0,0,5), the expected time to replacement is 0.25. Therefore, the probability that the system is still working after 4250 days is equal to:

Probability = e(-120*(4250-25)/25) * e(-120*(0.25)/25) = 0.018

See more information on exponential distribution in: https://brainly.com/question/28256132

#SPJ11

Other Questions
a third class medical certificate is issued to a 51-year-old pilot on may 3, this year. to exercise the privileges of a private pilot certificate, the medical certificate will be valid until midnight onA. May 31, one year later.B. May 31, two years later.C. May 3, one year later. How would this program be affected if the on button block were deleted fromthe code?on menu button pressedshow long text HellobottomA. Text would be shown, but it would not be the text "Hello."OB. No text would be shown when the "Menu" button was pressed.OC. The text would be shown without the player pressing the "Menu"button.D. Nothing would change, because the on button block does not havea specific purpose in a game. 1. Im in the 2nd column, 4th row, and Im a metal. Who am I? ________________ 2. Im a very lonely nonmetal. Who am I? ____________ 3. Im the only metal who is a liquid at room temperature. Who am I? ____________ 4. Im named after the person who created the 1st Periodic Table. Who am I? ___________ 5. I have 92 protons. Who am I? _____________ 6. Im the only nonmetal who is a liquid at room temperature. Who am I? ___________ 7. Im named after a very famous scientist. Who am I? ___________ 8. I have 46 electrons. Who am I? ____________ 9. My atomic mass is 183. 84. Who am I? _____________ 10. My chemical symbol is Ag. Who am I? ________________ 11. Im the only metalloid in period 3. Who am I? ___________ 12. Im the only element that is solid and a nonmetal in group 14. Who am I? _____________ 13. I have 5 neutrons. Who am I? ____________ 14. Im the only gas at room temperature that is in group 16. Who am I? ___________ 15. I have 68 protons. Who am I? __________ 16. What element has the chemical symbol of Ir? ______________ 17. Which element is in group 7 and has 30 neutrons. Who am I? ___________ 18. Im the only metal in group 15. Who am I? ____________ 19. I have 88 electrons. Who am I? ___________ 20. Im the only gas at room temperature and in period 5. Who am I? ____________ 21. My symbol is Am. Who am I? ______________ 22. Im the only nonmetal in period 6. Who am I? ____________ 23. My atomic number is 69. 723. Who am I? _________________ 24. I have 159 neutrons. Who am I? ________________ 25. Im the only metalloid in group 17. Who am I? ______________ 26. I have 50 electrons. Who am I? __________________ 27. Im in the 1st group and the 4th period. Who am I? ________________ 28. Im a metalloid whose symbol is Sb. Who am I? ______________ JFlowers2017 Name: ______________________________ Date: ___________Class: ________ Periodic Table Scavenger Hunt Directions: You will use the Periodic Table to answer the questions. 1. Im in the 17th column, a nonmetal, & a solid at room temperature. Who am I? ________________ 2. I have 79 electrons. Who am I? ____________ 3. Im the only gas in period 6. Who am I? ____________ 4. My atomic mass is 257. Who am I? ___________ 5. My chemical symbol is Hs. Who am I? _____________ 6. I have 114 neutrons. Who am I? ___________ 7. Im in the 18th group and 2 nd period. Who am I? ___________ 8. I have 67 protons. Who am I? ____________ 9. Im a nonmetal who is solid at room temperature & has 2 letters for my symbol. Who am I? _________ 10. Im in the 1 st group & 7 th period. Who am I? ________________ 11. Im the only metalloid in group 13. Who am I? ___________ 12. I have 97 electrons. Who am I? _____________ 13. I am the only gas in column 15. Who am I? ____________ 14. My name is similar to Mickey Mouses best friend. Who am I? ___________ 15. Im in group 11 & period 4. Who am I? __________ 16. I have 62 protons. Who am I? ______________ 17. My name fits really well with doctors because they try to do this. Who am I? ___________ 18. My name reminds me of where we all live. Who am I? ____________ 19. Im the only nonmetal in period 2. Who am I? ___________ 20. My atomic number is 87. 62. Who am I? ____________ 21. My symbol is Mt. Who am I? ______________ 22. Im in group 17 & the only metalloid. Who am I? ____________ 23. I have 71 electrons. Who am I? _________________ 24. My symbol is Pd. Who am I? ________________ 25. Im Dorothys friend who needed a heart. Who am I? ______________ 26. I have 41 protons. Who am I? __________________ 27. I have 125 neutrons. Who am I? ________________ 28. My name comes from the 8th planet. Who am I? ______________ Bradford's bibliography of Robert E. Lee reveals him as a general who felt that war was _____________________.Choices:- cruel- glamorous- unnecessary 5. How do you think most Cherokee reacted upon getting this message? please help fast I am baffled what do microbiologists do? why are their contributions so important to science? ) the process called by which molecules move across a barrier, Suppose that a potential blood donor has type B+ blood. Classify the following recipient's blood types as compatible or incompatible. Able to receive type B+ blood Unable to receive type B+ blood type O- type B+ type B- type A+ type AB+ what is the risk for a woman who had a retinoblastoma in early childhood as a result of a partial deletion on one number 13 chromosome to have a child who also develops the disorder? Write the first four terms of the sequence defined by a n = 5{5, if n=1a n -1 -5, if n>1 help plssss explainnn!! 1. To identify alternative uses of resources and the opportunity cost of selecting one option over another.2. Provide an objective way to determine resource allocations from an individual, community or societal viewpoint.a. Two viewpoints: private and social3. Econ Evals link the alternative courses of actions' inputs and outputs to provide a comparative analysis. Give the approximate bond angle for a molecule with an octahedral shape. 109.5 180 120 O 105 90 QUESTION 3 What is the hybridization of the orbitals on carbon in C2H4? this is a very important question. Are you cool? how do water molecules move into and out of the cell? find the inverse of the function F(x) = x + 2x [-1, 00] you would like to retire on $1,500,000. you plan on a 6% annual investment rate and will put away $9,000 twice a year at the end of each semi-annual period. how long before you can retire? round to the nearest year. if you witnessed a crime and were asked to pick out the person who committed the crime from a lineup of six people, the other five people are called Find the measure of the last angle of the triangle below.2835