Match each function below to its correct description. a. Arithmetic, recursive
b. Arithmetic, explicit
c. Geometric, recursive
d. Geometric, explicit
d
43 k(n) = k(n-1)-1; k(1) = 2
44 h(x) = (4)
45 g(n) = in-4
46/(x) = f(x - 1). 2; f(0) = 2

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319