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45 degrees

Step-by-step explanation:

Givens

c = 10

opposite = 5√2

Sin(angle) = opposite / hypotenuse

Solution

sin(angle = 5√2 / 10

Sin(angle) = 0.707

angle = sin-1 (0.707)

angle = 45 degrees (rounded. Use a better value for √2)

a) The odds that such a taxpayer will be audited is 4%.

b) The odds against such a taxpayer being audited is 96%.

Step-by-step explanation:

a) Data and Calculations:

The probability of an IRS audit = 3.8% for U.S. taxpayers who file form 1040 and earned $100,000.

This is the same as the odds that such a taxpayer will be audited.  Odds is the likelihood or chance that an event will take place.

b) The probability of not being audited is 100 - 3.8% = 96.2%

The odd against being audited is the likelihood or chance that an event will not take place.