O is the centre of the circle. Calculate the area of the triangle in the figure below? (cos 75°=0.2588 and sin 75°=0.9659)
4.2 cm 150°
B
V 2

The graph of fx shown below has the same shape as the graph of gx = 3x^2 but is shifted down 2 units

Karen will divide her garden into equal parts. she will plant corn in 8/12 of the garden. what is the lowest number of parts she can divide her garden into?

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.