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adelina 88 [10]
3 years ago
12

My teacher wanted us to try this out, but I don't understand it as much.

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

solve for the indicated variable means isolate that variable.

Ans(7)

P=IRT (T)

that means solve for T or make T alone on one side of equal.

To do that we just need to move IR on the left side

So we get:

\frac{P}{IR}=T

Hence final answer will be T=\frac{P}{IR}

-----

Ans(8)

2x-3y=8  (y)

-3y=8-2x

y=\frac{8-2x}{-3}


------------

Ans(9)

V=LWH  (L)

L=\frac{V}{WH}


------------

Ans(10)

A=2(L+W)  (w)

A=2L+2W

A-2L=2W

\frac{A-2L}{2}=W

W=\frac{A-2L}{2}


------------

Ans(11)

ax+by=c  (y)

by=c-ax

y=\frac{c-ax}{b}


------------

Ans(12)

P=\frac{R-C}{N} (R)

PN=R-C

PN+C=R

R=PN+C


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In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time coll
ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}

The margin of error is:

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

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

​(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use \pi = 0.5, which is when we are going to need the largest sample size.

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

0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 2.575*0.5

(\sqrt{n}) = \frac{2.575*0.5}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}

n = 1036.03

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55​% of​ full-time students earn​ bachelor's degrees in four years or less.

\pi = 0.55

So

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

0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}

0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}

(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}

n = 1025.7

Rounding up

n = 1026.

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3 years ago
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LekaFEV [45]
The answer should be B.
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