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leva [86]
3 years ago
5

X + 7 < 15 I need to know what this answer is and quick

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

x<8

Step-by-step explanation:

x+7<15

x<15-7

x<8

hope \: it \: helps

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.26 millimeters and a standard deviat
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Answer:

Top 10%: 5.35 millimeters

Bottom 10%: 5.17 millimeters

Step-by-step explanation:

Problems of normally distributed samples can be 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 problem, we have that:

\mu = 5.26, \sigma = 0.07

Top 10%

X when Z has a pvalue of 1-0.1 = 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 5.26}{0.07}

X - 5.26 = 1.28*0.07

X = 5.35

Bottom 10%

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

-1.28 = \frac{X - 5.26}{0.07}

X - 5.26 = -1.28*0.07

X = 5.17

5 0
3 years ago
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