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Alisiya [41]
2 years ago
12

Can you please help me fill this out thanks

Mathematics
1 answer:
swat322 years ago
7 0

Answer: \sqrt{2}

Step-by-step explanation:

In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is \sqrt{2}

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Three students were applying to the same graduate school. They came from schools with different grading systems. Student GPA Sch
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Answer:

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

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 student's GPA had the higher z-score had the best GPA compared to other students.

Thuy 2.5 3.2 0.8

This means that X = 2.5, \mu = 3.2, \sigma = 0.8

The z-score is:

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

Z = \frac{2.5 - 3.2}{0.8}

Z = -0.875

Vichet 88 75 20

This means that X = 88, \mu = 75, \sigma = 20

The z-score is:

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

Z = \frac{88 - 75}{20}

Z = 0.65

Kamala 8.9 8 0.4

This means that X = 8.9, \mu = 8, \sigma = 0.4

The z-score is:

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

Z = \frac{8.9 - 8}{0.4}

Z = 2.25

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

7 0
3 years ago
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