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3 years ago

Find all values of

1 answer:

6 0

The vectors will be orthogonal if their dot product is zero.

$\langle5,-4,4\rangle\cdot\left\langle b^2,b,0\right\rangle=5b^2-4b=0$

You have

$5b^2-4b=b(5b-4)=0\implies b=0,b=\dfrac45$

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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:

$\mathbf{p = 30\%}$ --- the proportion that are satisfied

$\mathbf{n = 20}$ --- the sample size

(a) The expected number that are satisfied

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

(b) The standard deviation of those that are satisfied

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

60 cans of soup are arranged to be displayed in 10 rows. Why does the fraction 10 over 60 not represent this situation? Explain.

mojhsa [17]

Explanation: The reason why is because when divide 10/60 it becomes a decimals and cans can't be decimals, but if you divide 60/10 then it will be 6 cans in each row.

4 0

3 years ago

I NEED HELP ASAP!!!!!!! Look at the photo for question

zaharov [31]

Answer:

x =25

<B = 65 degrees

<C = 50 degrees

Step-by-step explanation:

65 + (3x-10) +2x = 180

Add like terms:

55 +5x = 180