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Svetlanka [38]
2 years ago
12

What does the expression (x+3)(9) represent

Mathematics
1 answer:
Dominik [7]2 years ago
3 0

Answer:

evaluate 9(x+3)

expand 9x+27

Step-by-step explanation:

i think i am sorry if i am wrong

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The telephone company purchased 192 yards of wire for $2,304 in January. They
Aleks [24]

Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

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2 years ago
Read 2 more answers
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that \mu = 33208, \sigma = 2503.

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when X = 33208+633 = 33841 subtracted by the pvalue of Z when X = 33208 - 633 = 32575

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57

So

X = 33841

Z = \frac{X - \mu}{\sigma}

Z = \frac{33841 - 33208}{357.57}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

X = 32575

Z = \frac{X - \mu}{\sigma}

Z = \frac{32575- 33208}{357.57}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0
3 years ago
Aubrey was sorting books for the garage sale. she had 831 books and wanted to put them in 5 equal boxes. how many books would fi
lianna [129]

she would need 166 boxes. there is a remainder of 1. one book wont fit in a box

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3 years ago
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Hiking
Nata [24]

Answer:

I’m sorry but I don’t understand the question

Step-by-step explanation:

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2 years ago
10. Write an inequality relating the measure of angle 1 to the measure of angle 2
patriot [66]
The two triangles are isosceles.

Both triangles have the equals sides equal to 6

Both ∠ 1 and the ∠2 are the opposite angles to the different side of their respective triangles.

The opposite side to ∠ 1 is shorter than the opposite side to ∠ 2, which implies that ∠1 is less than ∠2.

Then the inequality that relates those angles is

 ∠1 < ∠2   
3 0
3 years ago
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