A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate using the mean of the sample. Using the value miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be confident that its estimate is within miles per month of

Answers

Answer 1

Answer:

The minimum sample size needed 64 monthly U.S. rental car mileages.

Step-by-step explanation:

Note: This question is not complete as all the important data are omitted. The complete question is therefore provided before answering the question as follows:

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 175 miles per month of u?

The explanation of the answer is now given as follows:

The minimum sample size needed can be calculated using the following sample size formula:

n = ((Z * S) / E)^2 ………………………… (1)

Where:

n = sample size or minimum sample size = ?

Z = Confidence interval at 95% = 1.645

S = Standard deviation = 850

E = Accepted magnitude of error = 175

Substituting all the relevant values into equation (1), we have:

n = ((1.645 * 850) / 175)^2 = (1,398.25 / 175)^2 = 7.99^2 = 63.8401, or 64.

Therefore, the minimum sample size needed 64 monthly U.S. rental car mileages.


Related Questions

Which of these would be the opposite of a progressive tax?

Answers

c

A regressive tax is the opposite of a progressive tax because you pay a higher tax rate as your income decreases.

Answer:

b

Step-by-step explanation:

Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?

Answers

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

What should be capitalize in a passage

Answers

There’s no passage attached to this question but here are some things you should capitalize in a passage (this is all that I can think of):
Proper nouns
Every first word in a sentence

Hope this absolutely helps!
SpaceMarsh

Prove that : ⬆️⬆️⬆️

Anyone please solve that question.​

Answers

Mark Brainliest please

Answer : see the image attached
Hence proved

A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is?

Answers

Answer:

247000 ?

Step-by-step explanation:

If I understand this right then that should be the answer. I added 240000 and 7000

What is the area of this???

Answers

9.09(m2)??
I think so

Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points

Answers

iii; iv; and v

Step-by-step explanation:

I think

the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​

Answers

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

Please quickly need this before 30 mimutes

Answers

Answer:

x = 4.48

Step-by-step explanation:

read the picture

please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared​

Answers

9514 1404 393

Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

Jackson is making brownies. He uses the following ingredients.
Ingredients Amount for 1
Batch of Brownies
Flour 3 cups
Sugar 2 cups
Butter 1/3 cup
Cocoa Powder 1/4 cup
Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?

Part A
Which equation can you use to solve the problem?

A. 1 ÷ 3 = 3
B. 1 ÷ 13 = 3
C. 1 × 13 = 13
D. 1 + 13 = 13
Part B
Jackson used all the butter to make the brownies.
If each brownie is 1/9 of a batch, how many brownies did he make?
Enter your answer in the box.

Answers

Answer:

It's B (1÷13=3) for Part a

1 whole is equal to 3/3. One batch of brownies uses up to 1/3 of butter. So 1 ÷ 1/3 = 3.

Step-by-step explanation:

HELPPPPPP don't troll ima report

Answers

Answer:

The x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Step-by-step explanation:

We have the function:

[tex]\displaystyle y=\frac{x^2 -1}{x}[/tex]

And we want to find the x-coordinates for which the gradient (or slope) at the point is 5.

The gradients of a curve at a point is given by its derivative. Find the derivative:

[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\frac{x^2-1}{x}\right][/tex]

Use the quotient rule:

[tex]\displaystyle \frac{dy}{dx}=\frac{(x^2-1)'(x)-(x^2-1)(x)'}{(x)^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{(2x)(x)-(x^2-1)(1)}{x^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{x^2+1}{x^2}[/tex]

Since the gradient is 5, substitute 5 for dy/dx and solve for x:

[tex]\displaystyle 5=\frac{x^2+1}{x^2}[/tex]

Multiply both sides by (x ≠ 0):

[tex]5x^2=x^2+1[/tex]

Subtract from boths sides:

[tex]4x^2=1[/tex]

Solve for x:

[tex]\displaystyle x=\pm\sqrt{\frac{1}{4}}=\frac{1}{2}\text{ or } -\frac{1}{2}[/tex]

So, the x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Write the product in its simplest form : 6c • (-7c^6)

Answers

Answer:

Step-by-step explanation:

(-7*6)(c*c^6) = -42c^7

I need help with this fast

Answers

Answer:

1. positive

2. No

(for number 3, I'm not sure if my answer to it is going to be correct)

Step-by-step explanation:

1. the dots look like they are going up

2. there are no outlying dots that look unusual

How do I do this?? Help plse!

Answers

D, it is the correct answer

If JK is formed by J(-7,-8) & K(1,4), determine if L(-9,5), lies on the perpendicular bisector.


Part A: What elements do you you need to know to confirm that Point L is on the perpendicular bisector of JK?

Part B: Find the elements you described in Part A , explain your work.

Part C: Verify if Point L is on the perpendicular bisector of JK. Justify your conclusion.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.

For point b:

Calculating the distance among two point:

[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]

Calculating the distance among J and L

[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]

    [tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]

Calculating the distance among  K and L  

[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]

    [tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]

For point c:

As these two distances are not equal, L doesn't really lie on the JK bisector.

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.

Answers

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

What is the next term of this sequence? -5,5,-6,6,-7,7,-8,..

Answers

Answer:

8,-9,9

Step-by-step explanation:

What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays​

Answers

Answer:

A. A closed plane figure made up of line segments

Step-by-step explanation:

Answer:

A closed plane figure made up of line segments

x−9≥−12 Express your answer as an inequality.

Answers

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

Hope this helps, please mark brainliest! :)

PLS HELP ASAP! Find the Surface Area of the given figure.


THANK YOU!

Answers

Answer:

158 m^2

Step-by-step explanation:

l = 5 m, w = 3 m, h = 8 m

S.A. = [tex]2(lw+wh+lh)[/tex]

S.A. = 2{(5)(3) + (3)(8) + (5)(8)}

S.A. = 2(15 + 24 + 40)

S.A. = 2(79)

S.A. = 158 m^2

Hope this help!!!

Have a nice day!!!

Help plz I’m so confused

Answers

answer is 6/7
u never multiply the bottoms only the top so it will give u 6 since theyre both negatives
-
answer = 6/7

Answer and Step-by-step explanation:

Simply multiply the numerator by the numerator, and the denominator by the denominator.

[tex]-\frac{2}{7}[/tex] × [tex]-\frac{3}{7}[/tex] = [tex]\frac{6}{49}[/tex]

#teamtrees #PAW (Plant And Water)

What’s the ratio of 20 to 3

Answers

Answer:

666.666666666667%

Step-by-step explanation:

Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%

20:3
20/3
Think of it as a fraction

A car manufacturing company produces blue and black cars only. If 54% of 85658 total
production is blue cars, how many black cars are there?

Answers

Answer:

About 39,402.

Step-by-step explanation:

You need to find the 46% of black cars.

How many multiples of 9 are between 100,000 and 100,185?

Answers

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Can someone’s please help

Answers

Answer:

4.87 ft

Step-by-step explanation:

The height of the skylight =

The height of the blue △ - the height of the red △

Let b ft be the height of the blue △.

sin 60° = [tex]\frac{b}{25} [/tex]

b = 25 sin 60°

Let r ft be the height of the red △.

tan 40° = [tex] \frac{r}{20} [/tex]

r = 20 tan 40°

The height of the skylight

= 25 sin 60° - 20 tan 40°

= 4.87 ft (rounded to the nearest hundredth)

What’s the distance ?

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

[tex](4,2), (5, 5)[/tex]

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

[tex]D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}[/tex]

Substitute the endpoints of the line into the formula and solve for the distance between the points,

[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]

Simplify, solve for the distance between the two points,

[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]

[tex]D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3[/tex]

In the accompanying diagram, ABC is isosceles, BC is extended to D. AB = AC. and M

Answers

Answer:

m∠ACD = 130

Step-by-step explanation:

If ABC is an isosceles, AB = AC and m∠A = 80°, then m∠B and m∠C is equal to 50°.

This is because angles in a triangle adds up to 180°.

180° - 80° = 100°/2 = 50°

∴ m∠ACD = 130°, this is because the interior opposite angles in a triangle is supplementary to the opposite exterior angle:

50° + 80° = 130°

Or

Angles on a straight line adds up to 180°.

180° - 50° = 130°

Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!

Answers

Answer:

Both are correct

I'm only checking the first page

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.

The 4th page the bottom one is wrong the correct answer is -22.

Find the value of x

Answers

Answer:

x = 40

Step-by-step explanation:

Two triangles are similar so we can use similarity ratio to find x

x/16 = 35/14 cross multiply expressions

14x = 560 divide both sides by 14

x = 40

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