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Lynna [10]
3 years ago
15

Work out the area of this semicircle.Take pie to be 3.142 and give your answer to 2 decimal places 10cm

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

The area of the semi circle  A = 157.1 cm^2

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given radius of circle 'r' = 10 cm</em>

<em>The area of the circle formula </em>

<em>                                 </em>A = \pi (r)^{2}<em></em>

<em>The area of the semi circle formula </em>

                            A = \frac{\pi (r)^{2} }{2}

taking  π =3.142

                           A = 3.142 X \frac{(10)^2}{2}

On calculation , we get

                           A = 157.1 cm^2

<u><em>Final answer</em></u>:-

<em>The area of the semi circle  </em>A = 157.1 cm^2<em></em>

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Step-by-step explanation:

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Answer:

a) p = 0.1808

b) Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

Step-by-step explanation:

Given that:

n = 2306 and x =417

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Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) c = 90% = 0.9

α = 1 - 0.9 = 0.1

α / 2 = 0.1 /2 = 0.05

From the probability table, z_{\frac{\alpha}{2} } = 1.645

Margin of error (e) = z_{\frac{\alpha}{2} } \sqrt{\frac{p(1-p)}{n} } =1.645* \sqrt{\frac{0.1808(1-0.1808)}{2306} }=0.0132

The boundaries are (p - e, p + e) = (0.1808 - 0.0132, 0.1808 + 0.0132) = (0.1676, 0.194)

The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

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