Suppose that, in some distant part of the universe, there is a star with four orbiting planets . one planet makes a trip around the star in 6 earth years , the second planet takes 9 earth years, the third takes 15 earth years and the fourth takes 18 earth years . suppose that at some time the planets are lined up. how many years will it take for them to all line up

Given f(x) = 2x^2- 5x+1, determine the function value f(2). do not f(x) = in your answer

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

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?