The tree diagram below shows all of the outcomes for flipping 3 coins.

A tree diagram has outcomes (H, H, H), x, (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).

Which outcome is represented by x?
heads on the first coin, heads on the second coin, and tails on the third coin
heads on the first coin, tails on the second coin, and tails on the third coin
heads on the first coin, heads on the second coin, and heads on the third coin
heads on the first coin, tails on the second coin, and heads on the third coin

Acompany is testing in comparing to lightbulb designs the box plot shows the number of hours that each lightbulb design last before burning out which statement is best supported by the information of the plot

What is the volume of a rectangular prism if the length is 10.4 mm the width is 5 mm in the height is 8 mm

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."