John wants to build a rectangular garden with a fixed perimeter of 20 cm and an area of no more than 50 cm². Which of the following represents the inequality that models this situation?

a) x (20−x) ≥ 50

b) x (10−x) ≥ 50

c) x (20−x) ≤ 50

d) x (10−x) ≤ 50

Compare the cost of the bike trips from the two companies shown.for both the cost in a linear function of the number of days which statements is true

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Aschool had an election where the candidates received votes in the ratio 1: 2: 3. if the winning candidate received 210 votes, how many total people voted in the election?