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Rudik [331]
3 years ago
8

What circular area is covered by the signal if the circumference is 754 miles?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

A =45216 miles^2

Step-by-step explanation:

We can find the radius

C = 2 * pi *r

754 = 2 * pi *r

Divide each side by 2 pi

754 /2pi = 2 * pi *r/ 2 pi

377/pi =r

Approximating 3.14 for pi and rounding the radius to the nearest mile

120 = r

Now we need to find the area

A = pi r^2

A = 3.14 (120)^2

A = 3.14 (14400)

A =45216 miles^2

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FVAO=40728.17
8 0
3 years ago
Simplify (-8q^3r^4s^2)^2
koban [17]

Answer:

64q^6r^8s^4

Step-by-step explanation:

(-8q^3r^4s^2)^2

= (-8)^2 q^(3*2) r^(4*2) s^(2*2)

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3 0
3 years ago
Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
1 year ago
John has a piece of clay that weighs 12 1/2 pounds. He divides the clay into 5 equal pieces. How much does each piece weigh?
djyliett [7]

Answer:

2.44

Step-by-step explanation:

12 1/2 / 5 =2.44

3 0
3 years ago
What is the distance between (-3,5) (7,5)
Firlakuza [10]

Answer:

10 units

Step-by-step explanation:

use distance formula:  d = square root of the difference of the y-values minus the difference of the x-values

d = \sqrt{(5-5)^2+(7--3)^2}

d = \sqrt{(0)^2+(10)^2}

d = \sqrt{100}

d = 10 units

4 0
3 years ago
Read 2 more answers
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