Identify the function that contains the data in the following table: х: -2, 0, 2, 3, 5
f(x): 3 , 1, -1, 0, 2

1. f(x) = |x - 2|
2. f(x) = |x - 2| - 1
3. f(x) = |x| +1
4. f(x) = Ix - 2| + 1

What is the value of x in the following equation. -x ^3/2 = -27

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?

Atransformation t : (x,y) (x-5,y +3) the image of a(2,-1) is