State whether each situation involves a combination or a permutation.
4 of the 20 radio contest winners selected to try for the grand prize
5 friends waiting in line at the movies
6 students selected at random to attend a presentation
a) permutation, combination, permutation
b) combination, permutation, permutation
c) combination, permutation, combination
d) permutation, combination, combination

If myesha works overtime, she gets paid "time and a half" for every hour she works. in other words, for every hour over 40 hours myesha works each week, she gets her hourly pay plus half her hourly pay. what is myesha's pay per hour when she works overtime?

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

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).