1. Answer the following questions related to purchasing a car.
a. You need to buy a vehicle. The information from the vehicle sticker is
listed below to calculate the negotiated price. (5 points)
2021 Subaru Forester
Retail Price $24,705
Delivery Fee $221
Keyless Entry $350
Dual AC $550
Tinted Windows $500
b. Once you have the correct negotiated price, find the total price with taxes
and fees. You have a registration fee of $150 and 5% tax to pay in addition
to the negotiated price. (10 points)

Answer:

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

In a random sample of 42 Democrats from one city, 10 approved of the mayor's performance.

This means that:

[tex]p_D = \frac{10}{42} = 0.2381, s_D = \sqrt{\frac{0.2381*(1-0.2381)}{42}} = 0.0657[/tex]

In a random sample of 58 Republicans from the city, 12 approved of the mayor's performance.

This means that:

[tex]p_R = \frac{12}{58} = 0.2069, s_R = \sqrt{\frac{0.2069*(1-0.2069)}{58}} = 0.0532[/tex]

Distribution of the difference:

[tex]p = p_D - p_R = 0.2381 - 0.2069 = 0.0312[/tex]

[tex]s = \sqrt{0.0657^2+0.0532^2} = 0.0845[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.645*0.0845 = 0.139[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.0312 - 0.139 = -0.1078

The upper end of the interval is the sample mean added to M. So it is 0.0312 + 0.139 = 0.1702

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Answer:

Step-by-step explanation:

T-Ball 52%                   Soccer 48%               Basketball 35%

Answer:

3r1

The accompanying table shows the number of bacteria present in a certain culture over a 4 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number.

Answer: 7041 is the answer. I’m not sure how to explain. I took a lucky guess on my quizzez assignment and got it correct.

Answer:

-2

Step-by-step explanation:

I'm not 100% sure but...

The x-intercept is when the y is 0.

And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.

Answer:

Area = 13.8 cm²

Step-by-step explanation:

Area of a triangle = ½*base*height

base = 4 cm

height = ?

Find height using trigonometry function:

Reference angle = 60°

Opp = height = BC

Adj = 4 cm

Apply TOA:

Tan 60 = Opp/Adj

Tan 60 = BC/4

BC = 4*Tan 60

BC = 6.92820324 ≈ 6.9 cm

✔️Area of triangle = ½*4*6.9

= 13.8 cm²

[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]

[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]

Answer:

From left to right: 1, 6, and 7

Step-by-step explanation:

Answer:

The first, sixth, and seventh.

Step-by-step explanation:

Answer:

photo is not clear so i can't help u

Answer:

i cant really see the q so sorry but goodluck <3

Answer:

1. 14

2. 17.5

3. 60

4. 238

5. 91.4375

6. 58.065

Step-by-step explanation:

Sorry, I'm only doing 6, GOOD LUCK!!!

Answer:480

multiply the L W H

Answer:

109.3

Step-by-step explanation:

The area of a circle is 3.14 multiplied by the radius squared and the radius is the diameter divided by two which is 5.9. so the equation would be 3.14 times 5.9 squared

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

To learn more about the volume refer:

https://brainly.com/question/1578538

#SPJ2

Answer:

The correct answer is the third option

Step-by-step explanation:

I used a graphing calculator and also did L(W). But, the length (height) was 9 and (base) width 5

Answer:

-a+11

Step-by-step explanation:

hard to explain. but should be correct

Answer:

The null hypothesis is that there is no difference in the mean number of male and female cats

H₀; μ₂ - μ₁ = 0

Step-by-step explanation:

The given parameters are;

The given percentage of male stray cat population = 50%

The given percentage of female stray cat population = 50%

The number of areas the researcher visits, n = 15

The number of stray male cats he finds = 11

The kind of test to be performed = Sign test

The significance level, α = 0.05

A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.

Answer:

nice.

Step-by-step explanation:

Answer:

106 - 8h = 34

Whenever a math question says "when h = 9," they mean you substitute this number where h is in the equation.

106 - 8(9) = 34

106 - 72 = 34

34 = 34

This means the fact that h = 9 is a solution for h.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

use photomath it'll slove it for you

Step-by-step explanation:

Answer:

6 1/5

Step-by-step explanation:

Answer:

[tex]x\le \:5[/tex]

12≥ 2​(1+x)

Switch sides

2(1+x)≤ 12

Divide both sides by 2

2(1+x)2 ≤122

Simplify

1+x≤ 6

Subtract 1 from both sides

1+x−1≤ 6−1

Simplify

[tex]x\le \:5[/tex]

Answer:

We have

selling price=Discount + sales price

discount=discount rate×selling price.

discount=discount /selling price ×100%

Sales price =selling price - discount

Mark of price=mark up price rate ×original price

Selling price:mark of price + original price

commission amount=commission rate ×total sales

simple interest=principal amount ×rate×time/100

Answer:

1 4/5 pounds

Step-by-step explanation:

You can check my answer by multiplying it by the total number of loaves. This is because there are a certain number of loaves, and the answer I got was the weight of 1. 1 4/5 * 5 = 9.

here you go, hope this is helpful!

Answer:

1 7/20

Step-by-step explanation:

I think that's the answer.

Answer:

B) a²-(2*4)

Step-by-step explanation:

Since we are looking for the gray area only, we need to find the total area of the figure, but subtract that from the area of the unshaded area.

The total area of the figure is a*a=a²

The area of the unshaded figure is 2*4=8 units^2

This means the gray area is a²-(2*4) units^2, making B correct

Answer:

(0,2) is the answer - Option C.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which m is the slope and the point is [tex](x_0,y_0)[/tex]

Slope of 9/5 if one of the points on the line is (-10, -16)

This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]

[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]

Which of the following could be another point on the line?​

We have to find a point for values of x and y which gives us an identity. So

Option A:

x = -5, y = -6

Lets see

[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]

[tex]10 = \frac{9*5}{5}[/tex]

[tex]10 = 9[/tex] -> False

So this is not the answer.

Option B:

x = 4, y = 11

[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]

[tex]27 = 9*14/5[/tex]

False

Option C:

x = 0, y = 2

[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]

[tex]\frac{90}{5} = 18[/tex]

[tex]18 = 18[/tex]

True, so (0,2) is the answer - Option C.

Answer: the answer is 2.5 meters long

Step-by-step explanation:

Answer:

1.5, C

Step-by-step explanation:

Took the test.

Answer:

Mean = 1

Step-by-step explanation:

[tex]mean = \frac{ - 1 + 9 - 4 - 6 + 5 + 3}{6} \\ \\ mean = \frac{6}{6} \\ \\ mean = 1[/tex]

I hope that is useful for you :)

Answer:

1

Step-by-step explanation:

Hello, if you ever heard the hey diddle diddle song, it would say that you add and divide for the mean. So lets try that! First, add all the numbers together like this:

-1+9+(-4)+(-6)+5+3=6

Then, you take the number and divide it by the number of numbers in that set. In this case, it would be 6.

6/6=1

That means that the mean of the low temperatures is 1.