A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1
ratio. Find T. You must show all work to receive credit.

Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. −1.5< < 1.5)

Twelve different video games showing substance use were observed and the duration times of game play (in seconds) are listed below. the design of the study justifies the assumption that the sample can be treated as a simple random sample. use the data to construct a 99% confidence interval estimate of μ, the mean duration of game play. 4028 4316 4816 4650 4036 5010 4833 4331 4307