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omeli [17]
3 years ago
13

The top of a square box has an area of 121 cm2. What is the length of one side of the box? A) 9.0 cm B) 11.0 cm C) 15.125 cm D)

30.25 cm
Mathematics
2 answers:
tekilochka [14]3 years ago
5 0
B. 11.0 cm, since the area of a square is x^2. 11.0 x 11.0 is 121. So that means one of the sides is 11.0
julsineya [31]3 years ago
3 0
The answer is B)11.0 square inches.
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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}}

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

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

90% confidence level

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.

3 0
3 years ago
I NEED HELP pLS What is the value of x? (only number values) *
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Answer:

x=-1

Step-by-step explanation:

By adding the bottom lines you can get

2x+11 = x+10

Simplifying this gets you

x=-1

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Answer:

Step-by-step explanation:

5/8 + 3/5 =

25/40 + 24/40 =

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its greater then 1

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If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
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D (-4 , -1)
relflected over x-axis= (4 , 1)
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