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alina1380 [7]
2 years ago
12

John works at a local fast food restaurant for $8.50 per hour. He decides to save 20% of his wages for college. His parent gave

him $300 to start his college fund. Which equation below describes the amount of money John saves for college?

Mathematics
1 answer:
Tanzania [10]2 years ago
3 0

Answer:

D

Step-by-step explanation:

money given by parents = $300

earning per hour = $8.5

0.2 × 8.5 = $1.7

y = saving for college

x = hours he worked

y = saving from wages + given by parents

y = 1.7x + 300

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3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil
Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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, we have that:

\mu = 83, \sigma = 3

Find the probability that the diameter of a selected bearing is greater than 85 millimeters.

This is 1 subtracted by the pvalue of Z when X = 85. Then

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

Z = \frac{85 - 83}{3}

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Z = 0.67 has a pvalue of 0.7486.

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