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Molodets [167]
3 years ago
8

Solve for z z+9/2 = -3 A. –15 B. –10 C. 3 D. 8

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
3 0
You are given z+9/2 = -3. You are required to get the value of z. Since the equation is an example of an equality, you can easily get the value of z. The solution of the problem is,   Z + 9/2 = -3 Z = -3 – 9/2 <u>Z = -15/2 or -7.5</u> <span>There given choices does not contain the correct answer.</span>
azamat3 years ago
3 0
Either the problem is wrong or the answer section is wrong.

The answer is -7.5. 
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Answer:

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Step-by-step explanation:

Z-score:

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.

In this question:

She did better in the category that she had the higher z-score:

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Her free throw percentage was 79%, which means that X = 79

The team averaged 87% from the free throw line with a standard deviation of 12, which means that \mu = 87, \sigma = 12. So

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

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Z = -0.67

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She had 4 steals, which means that X = 4

Averaged 7 steals with a standard deviation of 3, which means that \mu = 7, \sigma = 3. So

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

Z = \frac{4 - 7}{3}

Z = -1

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