A rumor that was told initially to three people is spreading at a rate of 5% each week. The following function represents the weekly spread of the rumor: f(x) = 3(1.05)x. Rewrite the function to show how quickly the rumor spreads each day and calculate this rate as a percentage. f(x) = 3(1.007)7x; spreads at a rate of approximately 0.7% daily f(x) = 3(1.05)7x; spreads at a rate of approximately 0.5% daily f(x) = 3(0.15)x; spreads at a rate of approximately 0.15% daily f(x) = 3(1.007)x; spreads at a rate of approximately 0.07% daily

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Ithink i know it but i want to be sure so can you me out ?