The setAconsists of nine positive integers, none of which has a prime divisor larger thansix. Prove thatAis guaranteed to contain two distinct elements whose product is the squareof an integer. Hint:Any positive integer that does not have a prime divisor larger than 6 can be writtenas 2x13x25x3for integersx1, x2, x3

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.

Which of these tools or constructions is used to inscribe a hexagon inside a circle?