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3 years ago

Did I do the first question right? can anyone please help me with the 2nd question? Would really appreciate the Help

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

8. 1483.33

9. 21 months

Step-by-step explanation:

8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount available after expenses is 4583.33 -3100.00 = 1483.33 per month.

Morgan is able to put $1483.33 per month into savings.

9. If Morgan is able to save $1483.33 per month, it will take her ...

$30,000/$1483.33 ≈ 20.2

months to save $30,000. After 20 months, she won't have quite enough, so it will take her one more month to save the desired amount.

It will take Morgan about 21 months to save $30,000.

If you like, you can write an equation for "m", the number of months it will take Morgan to save 30,000:

1483.33×m = 30,000

m = 30,000/1483.33 ≈ 20.2 . . . . . . divide by the coefficient of m

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b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

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.

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$\mu = 20, \sigma = 2$