Solve for y.

2(y + 2) = 14

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?

If a and b are real numbers, then |a-b| is always, sometimes or never equal to |b-a| ?

Thomas buys a cardboard sheet that is 8 by 12 inches. let x be the side length of each cutout. what is the size of the cutout he needs to make so that he can fit the most marbles in the box?