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Crazy boy [7]
2 years ago
6

Scores on the SAT are approximately normally distributed. One year, the average score on the Math SAT was 500 and the standard d

eviation was 120. What was the score of a person who did better than 85% of all the test-takers
Mathematics
1 answer:
Nookie1986 [14]2 years ago
8 0

Answer:

The score of a person who did better than 85% of all the test-takers was of 624.44.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

One year, the average score on the Math SAT was 500 and the standard deviation was 120.

This means that \mu = 500, \sigma = 120

What was the score of a person who did better than 85% of all the test-takers?

The 85th percentile, which is X when Z has a p-value of 0.85, so X when Z = 1.037.

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

1.037 = \frac{X - 500}{120}

X - 500 = 1.037*120

X = 624.44

The score of a person who did better than 85% of all the test-takers was of 624.44.

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Step-by-step explanation:

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The area of the given square pyramid is:

total area = 1,100 inches squared.

<h3 /><h3>How to get the area of the pyramid?</h3>

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

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And we have 4 of these triangles, then the total area of the pyramid will be:

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If you want to learn more about square pyramids:

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Answer:

There are 25 students in the class.

Step-by-step explanation:

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