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kondor19780726 [428]
3 years ago
13

Express 2/3n - 4-5m/15n as a single fraction in its simplest form

Mathematics
1 answer:
barxatty [35]3 years ago
8 0
The answer is
\frac{6 + 5m}{15n}

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
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Answer:

84.13% probability a particular tire of this brand will last longer than 57,100 miles

Step-by-step explanation:

When the distribution is normal, we use 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:

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What is the probability a particular tire of this brand will last longer than 57,100 miles

This is 1 subtracted by the pvalue of Z when X = 57100. So

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

Z = \frac{57100 - 60000}{2900}

Z = -1

Z = -1 has a pvalue of 0.1587

1 - 0.1587 = 0.8413

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Step-by-step explanation:

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Step-by-step explanation:

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