Please help anyone please!

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

stephernearns at an hour =$17

buy a new shirt=$25

left paycheck=$825

now,$825+$25=850

again,850/17=50

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The normal distribution curve for the problem is shown below

We need to standardise the value X=405.5 by using the formula

$z-score= \frac{X-Mean}{Standard Deviation}$
$z-score= \frac{405.5-402.7}{8.8} =0.32$

We now need to find the probability of z=0.32 by reading the z-table

Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

$P(Z\ \textgreater \ z)=1 - P(Z\ \textless \ z)$

from the z-table, the reading $P(Z\ \textless \ 0.32)$ gives 0.6255

hence,
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The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%

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