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Ierofanga [76]
3 years ago
6

Find the length of base PQ in the trapezoid.

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

PQ = 20

Step-by-step explanation:

Theorem:  The length of the median of a trapezoid is the average of the base lengths.

\frac{PQ + 12}{2}  = 16

PQ + 12 = 32

PQ = 20

See how easy that is if you know the theorem!

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A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
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Answer:

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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:

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So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

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

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They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

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

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

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Step-by-step explanat                      

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