If a hexahedral die is rolled two times, what’s the probability of NOT rolling a five both times?
Answer(s): D
The probability of rolling a 5 is 1 out of 6 (1⁄6), so the probability of NOT rolling a 5 is 1 – 1⁄6, or 5⁄6. The probability of not rolling a 5 twice is 5⁄6 × 5⁄6, or 25⁄36.
Jack loaned Bob $1,500 at an annual interest rate of 7%. After one year, how much will Bob owe Jack?
Answer(s): C
Multiply loaned money, $1,500, by 7% to determine how much is the annual interest rate. $1,500 × 0.07 = $105.Then add the annual interest state to the total amount of debt $105 + $1,500 = $1,605.
A 2-ton truck is taxed at a rate of $0.12 per pound. How much is the total tax bill?
Answer(s): A
2 tons = 4,000 pounds. 4,000 × $0.12 = $480.00.
If ab = 10, and a2 + b2 = 30, solve for y in the equation, y = (a + b)2.
y = (a + b)2. Expanding the equation results in y = a2 + b2 + 2ab. You know that a2 + b2 = 30, and ab = 10. When you substitute these known values into the equation, you get y = 30 + 2(10). Solving for y, results in y = 50.
A half-pint of cream is what part of a gallon?
8 pints make up a gallon, so a gallon contains 16 half-pints. One half-pint equals 1⁄16 of a gallon.
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