Acoin is to be tossed as many times as necessary to turn up one head. thus the elements c of the sample space c are h, th, tth, ttth, and so forth. let the probability set function p assign to these elements the respective probabilities 1 2 , 1 4 , 1 8 , 1 16 , and so forth. show that p(c) = 1. let c1 = {c : c is h, th, tth, ttth, or h}. compute p(c1). next, suppose that c2 = {c : c is h or h}. compute p(c2), p(c1 ∩ c2), and p(c1 ∪ c2).

Acylinder with a base diameter of x units has a volume of jxcubic units which statements about the cylinder are true? check all that apply. the radius of the cylinder is 2 x units. the radius of the cylinder is 2x units. the area of the cylinder's base is 200 square units. the area of the cylinder's base is a square units. the height of the cylinder is 2x units. the height of the cylinder is 4x units. mark this and return save and exit next submit

Ebuka's monthly rent is $750. if ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. write a function that gives the total cost r(t), in dollars, of ebuka's rent if he pays it t weeks late.

I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )