The random variable x, representing the number of cherries in a cherry puff, has the following probability distribution: x: 4 - 5 - 6 - 7 p(x=x): 0.2 - 0.4 - 0.3 - 0.1 (a) find the mean μ and the variance σ² of x.(b) find the mean and the variance of the mean for random samples of 36 cherry puffs.(c) find the probability that the average number of cherries in 36 cherry puffs will be less than 5.5.

Use set buikder notation to represent the following set: {, -2, -1, 0}

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

Agraph of a trapezoid can have diagonals with slopes that are negative reciprocals and two pairs of adjacent sides that are congruent, true or false, and why