Many basketball players feel that they get into a groove where they shoot better. here is the sequence of attempts to make a basket by a player: make make miss miss miss miss miss miss make make make make miss make make make make miss miss miss (a) if we assume that these outcomes are all independent, then give a 95% confidence interval for p, the probability of making a basket. (b) use a runs test to test our assumption that the outcomes are independent. calculate a p-value and determine whether it is significant at the alpha = 0.1 level.

What is the result of the following division?

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of 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