Select the three equations that have Y= 8.1 as the solution.

Y + 2.9 = 11
12 - y = 8.1
2y + 1 = 17.2
9 + 7.2 - y = 8.2
28.4 - y = 20.3

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 the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an integer or a decimal.)

Akid's pool is cylindrical and has a radius of 5 feet and a height of 2 feet. if a cubic foot holds about 7.48 gallons of water, how many gallons of water does the kid's pool hold? 21 gallons 52.3 gallons 1,174,4 gallons 157 gallons