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Nina [5.8K]
3 years ago
15

The perimeter of the rectangle is 32 m One side is 11m space, m long. What is the length of the missing side?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Hello!

The formula for the perimeter of a rectangle is: P = 2(l + w). In this formula, P is the perimeter, l is the length, and w is the width.

Suppose the length of the rectangle is 11 meters. We can substitute that value into our formula and solve for the missing side.

32 = 2(11 + w) (use the distributive property)

32 = 22 + 2w (subtract 22 from both sides)

10 = 2w (divide both sides by 2)

w = 5

Therefore, the length of the missing side is 5 meters.

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Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

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(A)

Compute the  odds that the taxpayer will be audited as follows:

\text{Odds of being Audited}=\frac{P(A)}{P(A')}

                                    =\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

\text{Odds against Audited}=\frac{P(A')}{P(A)}

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Thus, the odds against these taxpayer being audited is approximately 65.67.

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