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3 years ago

Can someone pls help me

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

Answer:

141 1/4

Step-by-step explanation:

You are looking for TOTAL change, thus, both values will be positive. In order to add both fractions, you need to convert the denominator for 90 1/2 into a 4. This becomes 90 2/4.

Now add both mixed fractions.

3/4 + 2/4 = 1 1/4

90 + 50 = 140

140 + 1 1/4 = 141 1/4

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The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that $\mu = 35000, \sigma = 7000$

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

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

$-1.88 = \frac{X - 35000}{7000}$