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zavuch27 [327]
3 years ago
5

HELP ASAP FOR BRAINLIEST: The time required to finish a test in normally distributed with a mean of 60 minutes and a standard de

viation of 10 minutes. What is the z-score for a student who finishes the test in 23 minutes? Show work please :)
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

<u>The z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean of time to finish a test = 60 minutes

Standard deviation of time to finish a test = 10 minutes

Time that a student finishes the test = 23 minutes

2. What is the z-score for the student?

z-score = (Time that a student finishes the test - Mean of time to finish a test)/Standard deviation of time to finish a test

Replacing with the real values:

z-score = (23 -60)/10 = -37/10 = -3.7

<u>z-score = -3.7 and p (-3.7) = 0.00011 or 0.011%</u>

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The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The zscore is given a:

z = (raw score - mean) / standard deviation

mean = 225, standard deviation o = 10.

a) For x = 200:

z = (200 - 225) / 200 = -0.125

For x = 220:

z = (220 - 225) / 200 = -0.025

P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%

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