Abox has 8 beads of the same size, but all are different colors. tamy draws a bead randomly from the box, notes its color, and then puts the bead back in the box. she repeats this 3 times. what is the probability that tamy would pick a red bead on the first draw, then a white bead, and finally a red bead again?
1 over 4096
1 over 512
1 over 64
1 over 8

What constants do you need to add to each of the following quadratic equations to complete the square? 2x2 - 3x = 0 x2 - 8x = 0 2x2 - 11x = 18

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."

What is the factor form of x^2-9x+14