Challenge A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd
number greater than 6, you get a 30% discount. Otherwise, you get a 20% discount. The table
shows the results of 400 customers. What is the relative frequency for each discount? Use pencil
and paper. If the manager of the store wants approximately half of the customers to receive the
20% discount, does this seem like an appropriate method? Explain.

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."

Determine if the equation defines y as a function of x: 2xy = 1. yes o no

What is the solution of the equation? 35√(x+2)3+3=27