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3 years ago

6

How much pay does john receive if he gives half of his pay to family,250 to his landlord and has exactly 3/7 of his pay left ove

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1 answer:

maxonik [38]3 years ago

7 0

Answer:

John receives a pay of $3,500.00

Step-by-step explanation:

x = John's pay

x = 1/2x + 250 + 3/7x [1/2 = 7/14 and 3/7 = 6/14]

x = 13/14x + 250

x - 13/14x = 13/14x - 13/14x + 250 [1x = 14/14]

1/14x = 250 [multiply both sides by 14]

x = 3500

Check:

3500 = 1/2(3500) + 250 + 3/7(3500)

3500 = 1750 + 250 + 1500

3500 = 3500

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After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 87, thus $\mu = 87$ .
The standard deviation is of 25, thus $\sigma = 25$ .

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

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Item b:

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Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

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

$Z = \frac{125 - 87}{25}$

$Z = 1.52$

$Z = 1.52$ has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

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3 years ago