24 POINTS. There are 8 new players on a girl's softball team. Each girl is a different height. The school newspaper want to take a photo of the new players. For the photo, the girls will line up In 2 rows of 4 girls each. Each girl on the back row is taller than the girl infant of her. On both rows, each girl is taller than the girl to her left. How many different arrangements of the 8 girls are possible?

Give all possible names for the line shown.calculation tip: lines can be written with either point first.

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.