Alice draws a triangle and measures two of the angles with a protractor. The angle measures are 65 and 45. Cal says the measure of the third angle is 60. Explain why Cal's answer is incorrect.

Cal's answer must be incorrect because the sum of angles is incorrect.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees.

According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.

Sum of angles = 65+45+60

i.e. Sum of angles = 170 which is not equal to 180

Hence, Cal's answer must be incorrect because the sum of angles is incorrect.

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.