Please help me!! A professional bowler is practicing for a tournament. On any given bowl, he has a 60 percent probability of getting a strike .

a) At the beginning of his practice, he likes to bowl until he fails to make a strike. How many times is he expected to bowl until he gets his first non-strike?

b) A perfect game consists of bowling 12 straight strikes. How likely is this bowler to bowl a perfect game?

c) In a game, which is 12 bowls, how likely is the bowler to get 9 or more strikes?

d) The bowler has pledged to give a certain amount to charity for every strike he gets during the tournament. He expects to bowl a total of 108 times over the course of the tournament. How much money should he give per strike if he wants to end up giving $1000 to charity?

Write two subtraction equations that are equivalent to 5 + 12 = 17.

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24