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Whitepunk [10]
3 years ago
12

What’s the diameter of the circle of the circumference is 30 pi inches

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
6 0
30?
30pi = 2pi r
30pi / 2pi = 15
15 = r
double the radius to get the diameter
15)2 =30
Mashutka [201]3 years ago
4 0

Answer:

Step-by-step explanation:

The circumference formula for a circle is

C=2\pi r or C=\pi d

We'll use the second one since our problem wants us to find diameter.  If we know that the circumference is 30π, then we will sub in 30π for C and solve for d:

30π = πd so

30π/π = d

The π's cancel out, leaving us with a diameter of 30 inches.

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A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c
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The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

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

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

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Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0
3 years ago
Match these together
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1. C
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Hope this helps
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