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kodGreya [7K]
3 years ago
10

Historically, demand has averaged 1447 units per week with a standard deviation of 715. The company currently has 2855 units in

stock. What is the probability of a stockout?
Business
1 answer:
Alik [6]3 years ago
4 0

Answer:

c. 97.558%

Explanation:

Options are <em>"A. 50.0.% B. 2.442% C. 97.558% D.197.0% E. 47,442%"</em>

Mean = μ = 1447

Standard deviation = σ = 715

Observed value = X = 2855

Using z-score formula, Z = (X - μ) / σ

Z = (2855 - 1447) / 715

Z = 1.97

P(Z<1.97) = 0.97558

P(Z<1.97) = 97.558%

So,  the probability of a stock-out is 97.558%.

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If $1,000,000 of 9% bonds are issued at 102 3/4, the amount of cash received from the sale is
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b.$1,027,500

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After freezing salaries for three years, Solo Music Publishers determined that employees with two to three years of experience w
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Marquis has a gross pay of $816. By how much will his gross pay be reduced if Marquis has the following items withheld? federal
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Gross pay is the amount of income before taxes and deductions. The amount by which the gross pay is reduced is $174.66.

<h3>What is gross pay?</h3>

The gross pay is the amount of salary or wages that is before the taxes or other deductions. The expense of tax and deductions are subtracted from the gross pay to calculate the net pay.

The gross pay of Marquis in the given question is $816. His gross pay will be reduced by the taxes to calculate the net pay.

The amount of reduction will be the sum of all the taxes levied such as federal tax, social security tax, and so on.

Therefore the amount by which the gross pay will be reduced is:

\begin{aligned} \rm Federal\: tax &= \$92\\\\\rm Social\: security\: tax (\$816\times 6.2\%) &= \$50.592\\\\\rm Medicare\:tax (\$816\times 1.45\%) &= \$11.832\\\\\rm \end

The state tax is calculated as a percentage of federal tax. The state tax is:

\rm State \:tax (\$92\times 22\%) &= \$20.24\\

Therefore the total amount of reduction is:

\rm Total\:amount\:of\:reduction = \$92 + \$\$50.592 + \$11.832 +\$20.24\\\\\rm Total\:amount\:of\:reduction = \$174.664

Hence, the correct option is d.

Learn more about gross pay here:

brainly.com/question/8067656

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