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3 years ago

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Find g(x), where g(x) is the translation 9 units up of f(x)=x2. write your answer in the form m(x+a)2+b, where m, a, and b are i

ntegers.

1 answer:

nirvana33 [79]3 years ago

7 0

$f(x)=x^2\\\\\boxed{g(x)=x^2+9}$

Look at the picture.

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A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Studentka2010 [4]

Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so $z = 2.575$ .

Item a:

The estimate is:

$\pi = 0.223 - 0.189 = 0.034$

The sample size is <u>n for which M = 0.03</u>, then:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}$

$0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}$

$\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2$

$n = 241.97$

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence $\pi = 0.5$ is used.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 1841.8$

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

5 0

3 years ago

What is the answer to<br> 8 1/6<br> -<br> 3 3/8

Oksi-84 [34.3K]

Answer:

The answer is 4 19/24.

5 0

3 years ago

Round 157 to the nearest ten

Arturiano [62]

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

15<u>7</u> ≈ 160

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to (3−22)+5?

Assoli18 [71]

Answer:

b 2 to the second -5

Step-by-step explanation:

3 0

3 years ago

Paolo is solving the inequality 15+2x>31.

s344n2d4d5 [400]

Answer:

The number line that shows x > 8

Step-by-step explanation:

First, subtract 15 from both sides

<em>15 + 2x -15 > 31</em>

<em>2x > 16</em>

Then divide both sides by 2

<em>2x ÷ 2 > 16 ÷ 2</em>

<em>x > 8</em>

4 0

2 years ago