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77julia77 [94]
3 years ago
14

Select the correct answer.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

A . The inequality sign always opens up to the larger number.

Step-by-step explanation:

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Answer: The last one
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An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th
anastassius [24]

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

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

By the Central Limit Theorem

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

Z = \frac{18.06 - 17.48}{1.027740}

Z = 0.56

Z = 0.56 has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

7 0
3 years ago
Ronnie wants to buy a computer table that measures 10 feet by 6 feet. The cost of the table is $16 per square feet. How much wil
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Answer:  $960

Step-by-step explanation:

10*6= 60

60*16= 960

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Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 5 cups. How much more cups does she need t
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Answer:

2 cups!

Step-by-step explanation:

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Larissa earns a base salary of $500 per week plus 4% commission on any sales. How much will she have to sell to earn $750 in a w
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Answer:

If Larissa earns $500 per week, she will need $250 more in order to reach $750

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