Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.

Answer:

1/8, or 12.5%.

Step-by-step explanation:

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

180-167= 13

× = 13 degrees

Answer:

The value of 'a' will be:

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Step-by-step explanation:

Given the formula

[tex]-F = m+2a[/tex]

Let us solve the equation for 'a'

[tex]-F = m+2a[/tex]

Flip the equation

[tex]2a+m=-f[/tex]

Add -m to both sides

[tex]2a+m+(-m)=-f+(-m)[/tex]

[tex]2a = -f - m[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\:\:\frac{-f\:-\:m}{2}[/tex]

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Therefore, the value of 'a' will be:

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Answer:

on simplifying the answer would be 8x +8

Answer:

8x + 6

Step-by-step explanation:

add all x values together and all normal values together

-x+7x+2x=8x

5-2+3=6

Answer:

X < -3

Step-by-step explanation:

First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.

4x - 28 > 14x + 2

you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal

-28 > 10x + 2

you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2

-30 > 10x

divide both sides by 10 to get x by itself

-3 > x

which is the same as x < -3

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

Answer:

0.875

Step-by-step explanation:

i used my calculator :D

Answer:

0.875

Step-by-step explanation:

Just divide 7/8

Hope this helped, Have a Wonderful Day!!

Answer:

156.71$

Step-by-step explanation:

[tex]A=P(1-r \%)^ t\\=500(1-13.5 \%)^8\\=500(0.865)^8\\\approx 156.71[/tex]

The given modeled function is R(x)=26+1.5x

where R(x) is the number of hours spent reading a book over a month

and x is the number of hours a person spends at the library over the course of a month.

Representing R(x) on the y-axis and x on the x-axis,

Puttinv x=0 to get the R(x) intercept as

R=36+1.5 x 0 = 36

So, (0,36) ia a point.

Determining other-point by putting any arbitrary value of x other than 0.

Putting x=2, to get the other point

R=36+1.5 x 10 =51

So, the other point is (10,51).

Now, joining both the points to get the graph of the given linear equation as shown in the figure.

Answer:

(0,26) (4,32)

Step-by-step explanation:

The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its R intercept occurs when x=0, so

y(0)=26,

and (0,26) is the R-intercept.

To find another point, plug in another x value into the function y(x). For example, when x=4, we have

R(4)=26+1.5(4)=32.

So, (4,32) is another point on the graph of R(x).

Answer:

They need to sell 32 tickets

Step-by-step explanation:

256/8=32

Answer:

They need to sell 32 tickets to pay for their expenses.

Answer:

13/42

Step-by-step explanation:

1/7 + 1/6

13/42

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

Given that, there are 32 desks in a room.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, x represents the number of rows of desks.

The number of desks in each row = Total number of desks in a room / The number of rows of desks

= 32/x

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

To learn more about an expression visit:

https://brainly.com/question/13947055.

#SPJ5

Answer:

A.

Step-by-step explanation:

I gotchu fam. The first thing that you would want to do is find the slope. The slope is the change in y divided by the change in x. Based on the points on the line, the change in y is 2 because it goes up two, and the change in x is one because it goes over 1. This would make your slope 2/1, or just 2! Now we have our slope, so we want to find our y-intercept. There are two ways that we can do this. The first way is just eyeballing it, but sometimes that's not always accurate. We're just going to do that because its faster (lol). It looks around -2. With this information, we have our entire equation! y=mx+b. we can plug in our information. y=2x-2. And that's how your answer's A! Hope this helps.

Answer:

The total surface area is 782 inches

Step-by-step explanation:

I do not know the lateral answer sorry

Answer:

125 mL

Step-by-step explanation:

We are given:

V₁ = x mL

C₁ = 80%

V₂ = 200 mL

C₂ = 50%

Solving for x:

We know that:

V₁C₁ = V₂C₂                                [Concentration formula]

replacing the values:

x(80) = (200)(50)

x = 125 mL                                [Dividing both sides by 80]

There is a confusion here. “Decimal” is not a number set. “Whole numbers” is.

“Decimal” has been used to mean three different things about the representation of numbers:

- Numbers written using a base 10 place value system

- The decimal point that separates the integer and fractional parts of a number written in base 10. (Some countries use a comma. Some folks refer to the point used for this purpose in other bases as a decimal too for extra confusion.)

- A number written in the above form that has some numerals, probably nonzero, written to the right of the point. In other words, a number written in decimal form with a nonzero fractional part.

I'm guessing that the usage in this question is referring to the third meaning of “decimal” and will interpret the question as being not about representation of numbers but about transformation of numbers.

To wit, “What are some popular ways real numbers with nonzero fractional parts can be mapped to integers?”

I hope this is the correct interpretation.

There are a few common ways:

- Round towards zero: Ignore the fractional part and keep only the integral part.

- Floor: Take the greatest integer less than the number in question.

- Ceiling: Take the least integer greater than the number in question.

- Round to the nearest integer: Ignore the fractional part if it's less than a half. Otherwise, round away from zero.

These are the main ways of picking integers close to the number in question, but obviously, there are infinitely many ways to map sets of real numbers to mergers, so it is unclear if any of these are what the asker was looking for.

Answer:

if the number after the decimal is 5 or more then round the number before decimal by 1

Step-by-step explanation:

for example:

1234.5

=1235

or

6974.7

=6975

or

7796.4

=7796 (No change on the last number because the number after the decimal is 4, which is under 5)

Step-by-step explanation:

We need to prove that,

[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]

Taking LHS,

[tex]\cot^2 a-\cos^2 a[/tex]

We know that,

[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]

​[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]

So, LHS = RHS

Hence, proved.

Answer:

-5k - 10

Step-by-step explanation:

-k + 2 (-2k - 5)

-k - 4k - 10

-5k - 10

Answer:

-K+2(-2K-5)

-K-2K-10

-3K=10

K= 10÷(-3)

K=-3.333333

Answer:

D

Step-by-step explanation:

Answer: 8,16

Step-by-step explanation:

Answer:

2388.16 in³

Step-by-step explanation:

1) find volume of cylinder

formula: πr²h

given:

π = 3.14

r = 8/2 = 4 in

h = 9 in

[tex]\pi \: r {}^{2} h[/tex]

[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]

[tex]3.14 \times 16 \times 9[/tex]

[tex]452.16 \: {in}^{3} [/tex]

2) find volume of cuboid

formula: length × width × height

given:

length = 16 in

width = 11 in

height = 11 in

[tex]l \: \times w \: \times h[/tex]

[tex]16 \times 11 \times 11[/tex]

[tex]1936 \: in {}^{3} [/tex]

total volume of figure

= volume of cylinder + volume of cuboid

= 452.16 in³ + 1936 in³

= 2388.16 in³

Answer:

246.00

Step-by-step explanation:

58.75+23.25=82 then 82*3

Answer:

246.000

Step-by-step explanation:

Well If you take it and Line it up like this,

(A)Amy; 58.75

(J)Jeremy; A+23.25

(O)Oscar; A+23.25= ?x3

This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.

  Hope this helps.

9514 1404 393

Answer:

  y = ∛(x -4) -1

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...

  y = ∛(x -4) -1

Answer:

Here are three multiples of nine that exceed 20:

Step-by-step explanation:

9(3) = 27

9(4) = 36

9(5) = 45.

Answer: the final price is $37.26

Step-by-step explanation:

Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:

A + A*(X%/100%)

And for a decrease, the equation is_

A - A*(X%/100%)

Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be

$49.75 - (30%/100%)*$49.75 = $34.83

Now we have an increase of the 7% because of the IVA, then the final price is:

$34.83 + (7%/100%)*$34.83 = $37.26

Answer:

the best interest rate would be a minimum of 3.5% annual interest

Step-by-step explanation:

An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.

A. Multiply the area of the original store by the percent increase then add that to the original amount.

1200 x 0.75 = 900

1200 + 900 = 2100

Answer: 2,100 square feet.

B. 2000 x 0.30 = 600

2000 + 600 = $2,600

2600 x 0.05 = 130

2600 + 130 = 2,730

Rent :$2,730