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boyakko [2]
3 years ago
14

The border of a susan

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0
Actually, the coin is round but it does contain an 11 sided polygon inscribed within the circle.
An eleven sided polygon is called a <span>hendecagon </span><span> (from the Greek </span>hendeka<span> "eleven"</span><span>)
EACH interior angle measures (180 degrees -(360 / number of sides)) =
</span>180 degrees -(360 / 11) =
180 degrees - <span> <span> <span> 32.7272727273 </span> =
</span></span> <span> <span> <span> 147.2727272727  </span> </span> </span>degrees
rounded to nearest degree = 147 degrees

Source:
http://www.1728.org/polygon.htm


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The sum of two consecutive integers is -19. Find the integers.
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Answer:

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The sum of these two integers is -19

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If x and y are complementary angles, then y is a right angle.<br><br> right?
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Step-by-Step Explanation:

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In a population of bats living in a certain region, 30 percent have a wingspan greater than 10 inches. In a random sample of 80
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Answer:

The correct option is (e).

Step-by-step explanation:

In this case we need to determine whether there is any difference between the proportion of bats with a wingspan greater than 10 inches living outside the region from that of the bats living in the region.

The hypothesis can be defined as follows:

<em>H₀</em>: There is no difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> = 0.

<em>Hₐ</em>: There is a difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> ≠ 0.

The information provided is:

<em>n</em> = 80

<em>X</em> = 20

<em>p₀</em> = 0.30

A <em>z</em>-test for single proportion will be used to perform the analysis.

Compute the sample proportion of  bats living outside of the region having  a wingspan greater than 10 inches as follows:

p=\frac{X}{n}=\frac{20}{80}=0.25

The test statistic is given as follows:

z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}

Compute the value of the test statistic as follows:

z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}

  =\frac{0.25-0.30}{\sqrt{\frac{0.30(1-0.30)}{80}}}

  =\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}

Thus, the test statistic is z=\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}.

The correct option is (e).

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