Ten people form a circle. each picks a number and tells it to the two neighbors adjacent to him in the circle. then each person computes and announces the average of the numbers of his two neighbors. the averages announced by each person (not the original number the person picked) are $1,4,9,16,25,36,49,64,81,100$ in order around the circle. find the number picked by the person who announced the average $100$.

33% of college students say they use credit cards because of the rewards program. you randomly select 10 college students and ask each to name the reason he or she uses credit cards. find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. if convenient, use technology to find the probabilities.

Hiroaki wants to find 3 3/4 - 7/8 explain why he must rename 3 3/4 to do the subtraction.

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.