The average height of an NBA player is 79 inches. You want to know if NCAA basketball players are as tall on average. The standard deviation of NCAA

players is estimated to be 11.5 inches based on a previous study. You plan on

randomly selecting players throughout one season and measuring their height.

You need to include enough players so you will have a power of 85% power to

detect a mean height as low as 78 inches or as high as 80 inches. A two-sided

test conducted at the a=0.01 significance level will be used. How many players

should be included in the study?

A 45

B 42

C 44

D 40

Acredit card advertises an annual interest rate of 23%. what is the equivalent monthly interest rate?

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

Write a similarity statement for the similar triangles. afgh ~ a