In a lottery, the top cash prize was $646 million, going to three lucky winners. Players pick five different numbers from 1 to 54 and one number from 1 to 49.

A player wins a minimum award of $525 by correctly matching three numbers drawn from the white balls (1 through 54) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?

Suppose that an airline uses a seat width of 16.516.5 in. assume men have hip breadths that are normally distributed with a mean of 14.414.4 in. and a standard deviation of 0.90.9 in. complete parts (a) through (c) below. (a) find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.516.5 in. the probability is nothing. (round to four decimal places as needed.)

Daryl factors the polynomial p(x)=x3+x2−26x+24 to rewrite it as p(x)=(x+6)(x−4)(x−1). which equations must be true? there may be more than one correct answer. select all correct answers. p(1)=0 p(−4)=0 p(−1)=0 p(6)=0 p(4)=0 p(−6)=0

#7. m is the midpoint of pq, the diameter of the circle o is 13in. and rm = 4in. find pm find pq