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sp2606 [1]
2 years ago
13

Find the distance between points B and N.

Mathematics
1 answer:
Gekata [30.6K]2 years ago
5 0

Answer:

5

Step-by-step explanation:

b is at 15

n is at 10

hence -15 - -10=5

positive 5 btw

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de
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Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 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:

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Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 5.72}{0.07}

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Bottom 5%:

X when Z has a pvalue of 0.05. So X when Z = -1.645

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

-1.645 = \frac{X - 5.72}{0.07}

X - 5.72 = -1.645*0.07

X = 5.60

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

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