Suppose you rolled a twelve-sided number cube instead of a standard six-sided one. How would the probability of these events change?

The theoretical probability of landing on a star space on your first roll__.

The theoretical probability of not landing on a question mark on your first roll__.

The theoretical probability of reaching the end space on your first roll__.

Find the length of cu, the triangles are similar.

The parabola x = y² - 9 opens: a.)up b.)down c.) right d.)left

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."