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Yanka [14]
2 years ago
13

Find the value of x.

Mathematics
1 answer:
Artemon [7]2 years ago
6 0

{5}^{2}  +  {x}^{2}  =  {8}^{2}

25 +  {x}^{2}  = 64

Subtract both sides 25

25 - 25 +  {x}^{2}  = 64 - 25

{x}^{2}  = 39

Thus :

x =  \sqrt{39}

x = 6.245

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

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.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

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For Tobias, we have X = 7.26, \mu = 7.1, \sigma = 0.4.

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Due to the higher Z-score, Demetria should be offered the job.

3 0
3 years ago
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