In its 2016 Auto Reliability Survey, Consumer Reports asked subscribers to report their maintenance and repair costs. Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $170 and a sample of 25 automobiles 2 years old showed a sample standard deviation for annual repair costs of $ 100
a. State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.
b. At a .01 level of significance, what is your conclusion? What is the p-value? Discuss the reasonableness of your findings.

Answers:

8

6

1

3

Reason:

Add 5 to each value in the f(x) column.

Example: 3+5 = 8 for the first row.

This will shift each point 5 units up. This is because we're moving 5 units up the y axis.

Answer:

option C

Step-by-step explanation:

y=2x+7

hope it helps!

Answer:

23

Step-by-step explanation:

Answer:

Cartoons has more!

Step-by-step explanation:

Adding up the numbers in each vertical column gives you the total number of students watching. After adding all of the numbers in each category, cartoons has the greater total.  

Answer:

Step-by-step explanation:

Cartoons has the most

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

Learn more about regular polyhedron here:

https://brainly.com/question/29134238

#SPJ1

5.25 option c is the test statistics for the given data.

Given,

The observed values;-

A: 36

B: 42

C: 60

D: 14

E: 8

Total =160

 To verify the following claim, a chi square test must be performed:

H0: The proportions for the final grades are the same.

H1: The final grade proportions varies from one another.

The level of significance assumed for this case is α = 0.01  

The statistic to check the hypothesis is given by:  

X² = ∑ⁿi = 1 (Oi - Ei)²/Ei

Now all that remains is to use the following formula to determine the predicted values, Ei = % × total

And the calculations are given by:  

EA = 0.25 × 160 = 40

EB = 0.25 × 160 = 40

EC = 0.4 × 160 = 64

ED = 0.05 × 160 = 8

EF = 0.05 × 160 = 8

Here, the statistics;-

X² = (36 - 40)²/40 + (42 - 40)²/40 + (60 - 64)²/64 + (14 - 8)²/8 + (8 -8)²/8

= 16/40 + 4/40 + 16/64 + 36/8 + 0/8

= 5.25

 Therefore,

The test statistics for the given data is option c 5.25

Learn more about test statistics here;

https://brainly.com/question/16768155

#SPJ4

Answer:

If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?

then the answer is 5/32

Step-by-step explanation:

Answer:

3 by 19

Step-by-step explanation:

The height of Jennifer at least four decimal places will be 60.5514 inches.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Assume that the levels of grown-up ladies in the US are ordinarily disseminated with a mean of 63.5 inches and a standard deviation of 2.3 inches. Jennifer is taller than 90% of the number of inhabitants in U.S. ladies.

The z-value for 90% will be - 1.282. Then we have

- 1.282 = (x - 63.5) / 2.3

x - 63.5 = - 2.9486

x = 60.5514 inches

More about the z-score link is given below.

https://brainly.com/question/15016913

#SPJ1

Answer:

6.890625 Tons

Step-by-step explanation:

To get total in ounces: [(14,700 x 15) = 220,500 OZ].

To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]

Assuming the curve is

y = cos(x) - √3 sin(x)

differentiate once to get dy/dx, which gives the slope of the tangent line to y at some point x. The derivative is

dy/dx = -sin(x) - √3 cos(x)

The tangent line is horizontal when the derivative is 0, so you end up having to solve

-sin(x) - √3 cos(x) = 0

sin(x) = -√3 cos(x)

sin(x)/cos(x) = tan(x) = -√3

x = arctan(-√3) + nπ

(where n is an integer)

x = -arctan(√3) + nπ

x = -π/3 + nπ

You get two solutions in the interval [0, 2π] when n = 1 and n = 2, for which

x = 2π/3   or   x = 5π/3

Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).

How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.

Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.

To learn more about this, tap on the link below:
https://brainly.com/question/16882931

#SPJ13

Based on the principle of prudence, Theo should record the transaction, Sarah shouldn't, Jacob should, Jerry shouldn't, and JSL Inc. should record the transaction in the company accounts based on the principle of prudence.

1. Theo estimates that he might have to incur additional expenses for the purchase of raw materials next month.

  - Should record the transaction: It is prudent to anticipate and record potential expenses to reflect a more accurate financial position.

2. Sarah estimates that the market value price of the office building has risen by $50,000.

  - Shouldn't record the transaction: The principle of prudence suggests that gains should only be recorded when they are realized, not based on estimated market value changes.

3. Jacob bought goods for the business on credit.

  - Should record the transaction: Purchasing goods on credit should be recorded to accurately reflect liabilities and the financial position.

4. Jerry buys fuel for his personal car.

  - Shouldn't record the transaction: Personal expenses should not be recorded in the company accounts as they are unrelated to the business.

5. JSL Inc. bought stocks of another company.

  - Should record the transaction: Buying stocks of another company should be recorded as an investment to reflect the company's financial holdings.

Note: It's important to consider specific accounting regulations and policies that may vary depending on the jurisdiction and the nature of the business.

For more such questions on the principle of prudence: https://brainly.com/question/14297228

#SPJ11

Answer:

$656.25

Step-by-step explanation:

The formula for simple interest is:

\(A=Prt\)

Where A is the final amount, P is the principal, r is the rate, and t is the time in years.

The question does not specify whether the interest rate is annual or not, but I will assume it is! To convert 15 months to years, divide it by 12 months!

\(\frac{15}{12}=\frac{5}{4}=1.25\)

I also need the percent to be a decimal. To convert a percent to a decimal, divide by 100.

\(7.5/100 = 0.075\)

Now, plug the values into the formula!

\(A=7000*0.075*1.25\\A=656.25\)

The total amount after 15 months is $656.25

Answer:

Twenty percent of $47.83 is equal to $14.66

If you did 20% of 47.83, that would equal 9.566. So, now you need to take the 5, which is equal to 500 cents, and turn it into 5 dollars. (One hundred cents is a dollar so 500 cents , is 5 dollars.) now it’s 9 + 5. Easy, it’s 14. Now add back the 66, and it’s 14.66 dollars. So the answer is...

14.66

Hope this helps =3

Answer:

79-83= 2

84-88 =4

89-93= 5

94-98=2

Step-by-step explanation:

put in order then you can just count them

Answer:

Answer is 0. If you have to owe someone 9 dollars and they give you nine back it is 0. You can also rearrange the problem to 9-9 (same thing) which is 0

Answer:

I think all of them are parallel.

Step-by-step explanation: because it doesn't seem  any of them will connect to each other and they all look pretty straight.

Answer:

1. transversal

2. parallel

3. perpendicular

4.transversal

5. perpendicular

6.parallel

7.transversal

8. perpendicular

9.parallel

10.transversal

HOPEFULLY THESE ARE RIGHT!! <3

Answer:

729

Step-by-step explanation:

Including 3, there are 10 digits, from 0 to 9.

If you exclude 3, then there are 9 digits.

Each code will have a first digit, a second digit, and a third digit.

Each of those three digits can be chosen from 9 different digits.

We use the counting principle, and we multiply the number of possible digits for each position in the code.

number of possible first digits * number of possible second digits * number of possible third digits =

= 9 * 9 * 9 = 729

Answer: 729

A sample size of 176 tenth graders would be needed in order to estimate the fraction of students with reading skills at or below the eighth grade level at a 99% confidence level having an error of at most 0.03.

To calculate the sample size required for estimating the fraction of tenth graders with reading skills at or below the eighth grade level, we can use the formula for sample size estimation for proportions;

n = (ZZ × p × (1 - p)) / (EE)

where; n = sample size

Z = Z-score corresponding to the desired confidence level (in this case, the Z-score for a 99% confidence level, which is approximately 2.626)

p = estimated population proportion (in this case, 0.22)

E = desired margin of error (in this case, 0.03)

Plugging in the given values;

n = (2.6262.626 × 0.22 × (1 - 0.22)) / (0.030.03)

n = 0.15774 / 0.0009

n ≈ 175.27

Since we need to round up to the next integer, the sample size required would be 176.

To know more about sample size here

https://brainly.com/question/30885988

#SPJ1

Answer:

51

Step-by-step explanation:

you plug in 3 for x.

5(3)^2 - 3 + 9

5(9) - 3 + 9

45-3+9

51

Answer: 5x^2+6

Step-by-step explanation: sorry if wrong

Option `C` is the correct graph that represents function `f(x) = tan(x + 1)` as it is same as the parent tangent function graph after horizontal shift of one unit to the left.

Given function is

`f(x) = tan(x + 1)`

The parent function of tangent function is `y = tan x`.

The graph of the parent tangent function was transformed such that the result is function `f`.

Here, the function `f` is obtained by shifting the parent function `y = tan x` one unit to the left.

This is a horizontal shift to the left by 1 unit.

The graph of the function f(x) = Tan(x + 1) is not clearly shown in the text.

It would be helpful if you could make the graphics easier to read or explain in more detail.

Alternatively, mention a specific feature or key point of the chart and we will help you identify the correct chart based on that information.

So, the graph of the given function will be same as the graph of the parent tangent function, but shifted one unit to the left.

Thus, the graph of function `f` can be represented by option `C`.

For more related questions on tangent function:

https://brainly.com/question/28994024

#SPJ8

A graph that represents function f include the following: D. graph D.

In Mathematics and Geometry, the translation of a graph to the left means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x + N)

Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) - N

Since the parent tangent function f(x) = tanx was translated 1 unit to the left and the equation of the image is f(x) = tan(x + 1), we can logically deduce that only graph correctly represent the transformed tangent function.

Read more on function and translation here: brainly.com/question/31559256

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The value of the function f(6) on the graph of the linear equation is -1

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

f(x) = 1/3x - 3

The graph of the function is added as an attachment

From the graph, we can see that when x = 6, the value of the function is -1

This means that f(6) = -1

Hence, the value of the function f(6) on the graph of the linear equation is -1

Read more about linear equation at

https://brainly.com/question/4074386

#SPJ1

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

I hope this helps you answer your question.

Answer:£21.00

Step-by-step explanation:

One pizza: (£35/5) =£7

Three pizza's: (£7x3)=£21