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4 years ago

Find the shaded region

Mathematics

1 answer:

Katarina [22]4 years ago

5 0

The answer is 36.24771931898707

First you have to find the area of the rectangle.

The formula for the area of a rectangle is

A=BH

A= 32*24

A=768

Then you find the area of the circle

The formula for the area of a circle is

A= πr^2

The diameter of the circle is 32, so to find the radius you divide it by 2. So the radius is 16.

A= π16^2

A= π256

A= 804.2477193189871.

Then you have to subtract the area of the rectangle to the area of the circle to get the shaded area.

804.2477193189871-768= 36.24771931898707.

So the area of the shaded region is 36.24771931898707.

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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

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Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

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3 years ago

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How do I Know that?

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3 years ago

Factor out the GCF -2x^2 - 4x - 6

andrew-mc [135]

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

<h3>What is Greatest Common Factor?</h3>

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

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By factoring x^2-2x-3

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Collecting like terms

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-2(x+1)(x-3)

hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is

Learn more about Greatest Common factor on:brainly.com/question/219464

#SPJ1

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