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3 years ago

Someone Help please !!!!!!

Mathematics

2 answers:

tatuchka [14]3 years ago

4 0

I believe that the answer to that question is B. Because it is the inverse of the equation, everything will be postitive instead of negative.
Hope this helps!

svetoff [14.1K]3 years ago

4 0

F(x) = 1/9 x - 2
so inverse
x = 1/9 y - 2
1/9 y = x + 2
y = 9x + 18

function
f-1(x) = 9x + 18

Answer is A . first one
f-1(x) = 9x + 18

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f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many

Oksanka [162]

Answer:

n=1849

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Assuming that the proportion is estimated $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849$

And rounded up we have that n=1849

7 0

3 years ago

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side

crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

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5 0

2 years ago

What is the following product? Assume b>0

goldenfox [79]

I’m sorry, need more information

6 0

3 years ago

What does a cow use to cut the grass?

harina [27]

Is that the full thing?

8 0

2 years ago

What is the scientific notation for 222,000,000 ?

Leya [2.2K]

Rules for SN = must be a number from 1 and less than 10 times a power of 10

So our number becomes

2.22 x 10⁸ - It takes a move of 8 places to the right to make the number 222,000,000

6 0

3 years ago