Evan pays $12 per month to belong to a gym so that he can swim in the gym’s pool. each time he swims he pays an additional $2. he uses the function e= 2t + 12 to track his monthly swimming expense, where e represents total expenses and t represents number of times evan swims. make an input-output table, graph your result, and determine if the function has a proportional relationship. explain

In an improper fraction, is the numerator equal to, less than, or greater than the denominator

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?

About 9% of th population is hopelessly romantic. if 2 people are randomly selected from the population, what is the probability that at least 1 person is hopelessly romantic?