Which set of numbers can represent the side length, of an actue triangle a) 4, 5, 7b) 5, 7, 8c) 6, 7, 10d) 7, 9, 12

With: label the vertices and all the elements needed. find x

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?

What is the cube root of -1,000p^12q3? -10p^4 -10p^4q 10p^4 10p^4q