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3 years ago

15

Slope of (5,3) (-4,13)

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Answer:

m= -10/9

...........

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A Gallup Poll showed that 30% of Americans are satisfied with the way things are going in the United States. Suppose a sample of

mars1129 [50]

The expected number of a distribution is its mean.

The expected number of Americans who are satisfied with the way things are going in the United States is 6
The standard deviation of Americans who are satisfied with the way things are going in the United States is 2.05

The given parameters are:

<em /> $\mathbf{p = 30\%}$ <em> --- the proportion that are satisfied</em>

<em /> $\mathbf{n = 20}$ <em> --- the sample size</em>

<em />

<u>(a) The expected number that are satisfied</u>

This is calculated using:

$\mathbf{E(x) = np}$

So, we have:

$\mathbf{E(x) = 20 \times 30\%}$

$\mathbf{E(x) = 6}$

The expected number of Americans who are satisfied with the way things are going in the United States is 6

<u>(b) The standard deviation of those that are satisfied</u>

This is calculated using:

$\mathbf{\sigma = \sqrt{n \times p \times (1 - p)}}$

So, we have:

$\mathbf{\sigma = \sqrt{20 \times 30\% \times (1 - 30\%)}}$

$\mathbf{\sigma = \sqrt{20 \times 30\% \times 70\%}}$

$\mathbf{\sigma = \sqrt{4.2}}$

$\mathbf{\sigma = 2.05}$

The standard deviation of Americans who are satisfied with the way things are going in the United States is 2.05

Read more about expected value and standard deviations at:

brainly.com/question/17088771

4 0

3 years ago

How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?

andrew-mc [135]

Answer:

The leg is 8 cm long

Step-by-step explanation:

An isosceles right triangle has the length of its hypotenuse and opposite equal

Let us call the length x

From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have ;

x^2 + x^2 = (8 √2)^2

2x^2 = 128

x^2 = 128/2

x^2 = 64

x= √64

x = 8 cm

7 0

3 years ago

Which inequality represents all possible solutions of -12d2 -6?

qaws [65]

Answer:

f

Step-by-step explanation:

6 0

3 years ago

2. The metric system is based on units of<br> O A. 50.<br> O B. 10.<br> O C. 5.<br> OD. 20.

vaieri [72.5K]

The metric system units are based on the powers of 10.

6 0

2 years ago

Svetlana's hair is 4 centimeters long. her hair grows 1.5 centimeters per month. svetlana wants her hair to grow so that it is a

mamaluj [8]

Y=1.5m+4 or 7=1.5m+4

7=1.5(2)+4
7=3+4

6 0

4 years ago