Molly made a trip to the recycling plant and back. The trip there took four hours and the trip back took six hours. She averaged 10 km/h faster on the trip there than on the return trip. What was Molly’s average speed on the outbound trip?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Given sin28.4=.4756, cos28.4=.8796, and tan28.4=.5407 find the cos of 61.6