8 times 8 square is divided into 64 unit squares and each unit square is painted one of four possible colors. The ratio of numbers of squares of each color is 1:2:3:x. How many integer values could x have?

The graph of which of the following will be parallel to the graph of 4x – 3y = –12? a. y= 4/3x -3/2 b.6x-4y=-8 c. y=3/4x+1 d.4x- 2y=-12

State if the two triangles are congruent. if they are, state how you know?

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?