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2 years ago

Simplify.

Mathematics

2 answers:

Diano4ka-milaya [45]2 years ago

8 0

Answer:

53.8 because 45 add 8 is 53 and 53 add 0.8 is 53.8

TiliK225 [7]2 years ago

4 0

Answer:

53.8

Step-by-step explanation:

45+8= 8

then add the decimal 0.0+0.8= 0.8

53.8

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Which area of this sound wave represents a compression?

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Answer:

Step-by-step explanation:

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3 years ago

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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

butalik [34]

Answer:

a) A sample size of 5615 is needed.

b) 0.012

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.

This is n for which M = 0.015.

We have that $\pi = 0.2$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.015 = 2.81\sqrt{\frac{0.2*0.8}{n}}$

$0.015\sqrt{n} = 2.81\sqrt{0.2*0.8}$

$\sqrt{n} = \frac{2.81\sqrt{0.2*0.8}}{0.015}$

$(\sqrt{n})^{2} = (\frac{2.81\sqrt{0.2*0.8}}{0.015})^{2}$

$n = 5615$

A sample size of 5615 is needed.

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$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 2.81\sqrt{\frac{0.12*0.88}{5615}}$

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7 0

3 years ago

A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tal

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All you have to do is multiply the length x width x height which equals 429 meters cubed. So the volume of the recycling bin is 429 meters cubed

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3 years ago

Ms. john has a post-it note that is 3 inches by 2 inches in dimensions. her bulletin board measures 36 inch by 72 inches. find t

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Answer:

6 in²
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Step-by-step explanation:

Dimensions: 3 in x 2 in
Area = 3*2 = 6 in²

<h3>Bulletin board</h3>

Dimensions: 36 in x 72 in
Area = 36*72 = 2592 in²

<u>Number of post-it notes can fit on the board:</u>

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3 years ago

PLEASE HELP! THANKS!!!

Liono4ka [1.6K]

Answer:

A. 3

B. 4.5

Explanation:

A. 2(5x - 3) = 24

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then add six on both sides

U get 10x = 30

divide 10 on both sides

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10x + 5 = 50

minus five on both sides

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divide by 10 on both sides

The answer is x = 4.5

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3 years ago