Solve the problem.Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students, B's to the next 25%, C's to the next 40%, D's to the next 16%, and F's to the bottom 9%. What is the bottom cutoff for a D grade? Round your answer to the nearest whole number.
A. 62
B. 58
C. 65
D. 56
Answer: B
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Solve the problem.Bob and Fred play the following game. Bob rolls a single die. If an even number results, Bob must pay Fred the number of dollars indicated by the number rolled. On the other hand, if an odd number is rolled, Fred must pay Bob the number of dollars indicated by the number rolled. Find Fred's expectation.
A. $0.25 B. $0.50 C. $0.00 D. -$0.10
Determine whether the functions f and g are inverses of each other.f(x) = x3 + 2; g(x) = 
- 2
A. Yes B. No
Do the operation and express the answer in a + bi form.
A) 16 - 3 i
B) - 16 + 2 i
C) - 3 + 2 i
D) 3 - 2 i
E) 16 + 2 i
Solve.A $144,000 trust is to be invested in bonds paying 8%, CDs paying 5%, and mortgages paying 9%. The sum of the investments in bonds and CDs must equal the mortgage investment. To earn $11,010 annual income from the investments, how much should the bank invest in bonds?
A. $41,000 B. $29,000 C. $31,000 D. $72,000