Find the 5th term of the
sequence: 2, -6, 18, -54...

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

Ijust need to see how to do this. so you don’t have to answer all of them just a step by step explanation of one.

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?