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3 years ago

I will give 100 points to the first answer that is correct

Mathematics

2 answers:

matrenka [14]3 years ago

8 0

Answer: D) 32

Each side of the cube is 8 units, so the perimeter of one side is 4*8 = 32.

Nimfa-mama [501]3 years ago

7 0

Answer:

D) 32

Step-by-step explanation:

The volume of a cube is:

v=s³

512=s³

Take the cube root of both sides

s=8

To find the perimeter of a square,

p=4s

p=4(8)

p=32

So, D is your answer! Hope this helped!

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Delvig [45]

Answer:

y= 1/6 x - 1 1/2

p-by-step explanation:

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3 years ago

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A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amm1812

Answer:

6546 students would need to be sampled.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

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This means that $n = 200, \pi = \frac{118}{200} = 0.59$

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So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

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

$0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}$

$0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}$

$\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2$

$n = 6545.9$

Rounding up:

6546 students would need to be sampled.

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3 years ago

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Step-by-step explanation:

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