Suppose that of all individuals buying a certain digital camera,60% include an optional memory card in their purchase, 40%include an extra battery, and 30% include both a card and battery.1a randomly selected buyer is known to have purchased anextra battery. find the probability that an optional card wasalso purchased.2a randomly selected buyer is known to have purchased anoptional card. find the probability that an extra battery wasalso purchased.

Use the elimination method to solve the system of equations -x+5y=-4 and 4x+3y=16

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.