Jonathan conducted a survey among random boys in his grade to learn their shoe sizes. he found that the mean shoe size of the sample was size 10 and the median was size 8. which statement is true based on the results of jonathan’s survey? the average shoe size of the boys in his grade is 10. the average shoe size of the boys in his grade is 8. about half of the boys in his grade have a shoe size bigger than size 8. about half of the boys in his grade have a shoe size smaller than size 10.

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."

If angle b measures 25°, what is the approximate perimeter of the triangle below? 10.3 units 11.8 units 22.1 units 25.2 units

Use the given information to determine the exact trigonometric value.