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Leto [7]
3 years ago
14

5 1/4 divided by 2 3/8

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

\frac{42}{19} or 2 \frac{4}{19}

Step-by-step explanation:

5 1/4 divided by 2 3/8 basically means 5 \frac{1}{4}  ÷ 2\frac{3}{8}. Reduce the expression by cancelling the common factors.

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Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h
Usimov [2.4K]

Answer:

a)0.62% probability that total sick leave for next month will be less than 150 hours.

b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

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}

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 problem, we have that:

\mu = 200, \sigma = \sqrt{400} = 20

a.Find the probability that total sick leave for next month will be less than 150 hours.

This probability is the pvalue of Z when X = 150. So:

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

Z = \frac{150 - 200}{20}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062.

So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.

b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

This is the value of X when Z has a pvalue of 0.90. So Z = 1.28

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

1.28 = \frac{X - 200}{20}

X - 200 = 20*1.28

X = 225.6

225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

6 0
3 years ago
Are these answers correct? also is there any work to be shown?
vekshin1
Yes, your answer are correct! There is a little work to be shown on number 1, but it isn't necessary.

Hope this helps! Brainliest it if it does!
7 0
3 years ago
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BigorU [14]
I did the math and if I’m not mistaken he gets 9.26666666667
Aka 9
If I’m wrong I’m sorry but that’s what I got
3 0
3 years ago
What is the quotient of 21.06 and 9​
bekas [8.4K]

Answer:

21.06÷9 = 2 and 36 left over

Step-by-step explanation:

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2 years ago
Carlos has 10 more dollars and Jeremy Jeremy has $5 more than the show all together they have $80 what part of 80 does Michelle
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She would have 60 dollars.
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