Ron is watching a bicycle day celebration, and he records the types of bikes as they pass. Among the first 28 bicycles, Ron counts 8 hybrid bikes, 14 road bikes, and 6 cruiser bikes. Which of the following experimental probabilities are correct based on the observations. P(road)=\frac{8}{14}

14

8

​

P(road)=\frac{1}{2}

2

1

​

P(cruiser)=\frac{3}{14}

14

3

​

P(hybrid)=\frac{2}{7}

7

2

​

P(cruiser)=\frac{11}{14}

14

11

​

P(hybrid)=\frac{5}{7}

7

5

​

Find the solutions for a triangle with a =16, c =12, and b = 63º

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."

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³