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VLD [36.1K]
3 years ago
8

Find the sum of the interior angle measures of a convex 21-gon

Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

  3420°

Step-by-step explanation:

The sum of angle measures of an n-gon is ...

  angle total = (n-2)×180°

For n = 21, the angle total is ...

  21-gon total = (21 -2)×180° = 3420°

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Answer:

the counting numbers and zero are whole numbers.

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8 0
3 years ago
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Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a
Vikki [24]

Answer:

0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730

0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890

And the confidence interval would be:

0.730 \leq \p \leq 0.890

Step-by-step explanation:

Information given:

n=131 represent the sample size

\hat p=0.81 represent the estimated proportion

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.326

And replacing into the confidence interval formula we got:

0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730

0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890

And the confidence interval would be:

0.730 \leq \p \leq 0.890

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3 years ago
Mr. Parker is driving north for thanksgiving at an average rate of 67mph miss andrea is also headed north but she started drivin
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15 miles

15(64)+42=1002 mile - Andrea (42 is added because of her head start.)
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How many ways to make 50 cents in change?
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