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3 years ago

Pls help answering a b and c

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

a) The very first one where the line starts to the left

b) m=125.82

c) 320.81 thousand dollars

Step-by-step explanation:

a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left

b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.

c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get

y=125.82 (4)-182.47 =320.81 thousand dollars

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Step-by-step explanation:

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Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces.

This means that $\mu_C = 30, \sigma_C = 2$

The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce.

This means that $\mu_S = 12, \sigma_S = 1$

Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.

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$\mu = \mu_C + \mu_S = 30 + 12 = 42$

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If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

This proportion is 1 subtracted by the pvalue of Z when X = 45. So

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

$Z = \frac{45 - 42}{2.236}$

$Z = 1.34$

$Z = 1.34$ has a pvalue of 0.9099

1 - 0.9099 = 0.0901

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