The kellen school district gives awards to its schools based on overall student attendance. the data for attendance are shown in the table, where low represents the fewest days attended and high represents the most days attended for a single student. school low high range mean median iqr σhigh school w 108 180 72 169 150 47.5 29.5high school x 112 180 68 160 124 49.5 32.4high school z 130 180 50 162 151 39.5 27.5part a: if the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? justify your answer mathematically. (5 points)part b: if the school district wants to award the school with the highest average attendance, which school should it choose and why? justify your answer mathematically. (5 points)

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

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

The median for the given set of six ordered data values is 29.5 9 12 25 __ 41 48 what is the missing value?