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kvasek [131]
3 years ago
7

Find the area of a regular hexagon with the side length of 10 centimeters. Round to the nearest tenth

Mathematics
1 answer:
Romashka [77]3 years ago
8 0
Polygon area = n * side length^2 / 4 * tan(180/n)
where "n" = number of sides
hexagon area = 6 * 10^2 / 4 * tan(180/6)
hexagon area = 600 / 4 * tan(30)
hexagon  area = 600 / 4 * 0.57735
hexagon  area = <span> <span> <span> 259.8077422707 </span> </span> </span> square centimeters
hexagon  area = <span> 259.8 </span>square centimeters


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during one month the orangevale parks and recreation district spent $5720 for various activities. they spent $1430 on mommy and
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Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund
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<u>Testing the hypothesis</u>, it is found that since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

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H_0: p = 0.5

At the alternative hypothesis, it is tested if the <u>proportion is different of 0.5</u>, that is:

H_1: p \neq 0.5

The test statistic is given by:

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

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In this problem, the parameters are given by:

p = 0.5, n = 483 + 398 = 881, \overline{p} = \frac{483}{881} = 0.5482

The value of the test statistic is:

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

z = \frac{0.5482 - 0.5}{\sqrt{\frac{0.5(0.5)}{881}}}

z = 2.86

Since we have a <u>two-tailed test</u>(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.

Looking at the z-table, z = -2.86 has a p-value of 0.0021.

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Since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

A similar problem is given at brainly.com/question/24330815

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