Evaluate the integral.

A. ln 4 + 
B. 45 + ln 5 - ln 2
C. 45 + ln 5
D. ln 4 + 42


Answer: D

Mathematics

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A couple is planning to have four children. Suppose that for this couple the probability of a boy is 46% and the probability of a girl is 54%. (Assume the gender of each child is independent from that of the other children.)What is the probability that they will have one girl and three boys?

A.
B. 0.463 × 0.54
C. 0.54 + 0.46 + 0.46 + 0.46
D. 4 × 0.463 × 0.54
E. none of these

Mathematics

Find the inverse of the function.f(x) = 5x + 3

A. f-1(x) =  - 3
B. Not a one-to-one function
C. f-1(x) = 
D. f-1(x) = 

Mathematics

Provide an appropriate response.Loans in which there is no fixed number of payments and the interest is calculated on the unpaid balance at the end of each payment period are referred to as:

A. closed-end loans B. average daily balance loans C. basic installment loans D. open-end loans

Mathematics

Indicate whether the statement is true or false.27 is to 63 as 45 is to 105.

A. True B. False

Mathematics