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LuckyWell [14K]
3 years ago
13

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b

y a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.)
Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

A task time of 177.125s qualify individuals for such training.

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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so \mu = 145, \sigma = 25.

The fastest 10% are to be given advanced training. What task times qualify individuals for such training?

This is the value of X when Z has a pvalue of 0.90.

Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when Z = 1.285.

So

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

1.285 = \frac{X - 145}{25}

X - 145 = 32.125

X = 177.125

A task time of 177.125s qualify individuals for such training.

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Dafna1 [17]

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  <u>You don't have to worry about which is smaller--that part will work out automatically</u>!

The two shares are in the ratio of 2:3, so set up the proportion

\frac{x}{1785-x}=\frac{2}{3}

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

(3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

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3 years ago
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hope this helps
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lukranit [14]
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steposvetlana [31]

Answer:

192π yd²

Step-by-step explanation:

Surface area of a cylinder = 2πrh

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Answer:

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Step-by-step explanation:

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