Atheater group made appearances in two cities. the hotel charge before tax in the second city was $500 lower than in the first. the tax in the first city was 3.5% , and the tax in the second city was 7.5% . the total hotel tax paid for the two cities was $347.50 . how much was the hotel charge in each city before tax?

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?