Find the smallest 4 digit number such that: - The number of tens plus the numbers of hundreds equals the number of thousand
AND
- The number of ones is half the number of tens and is one more than the number of hundreds.

Find the equation of the trend line (line of best fit). show your work i'm using the points (34,76) (42,91)

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

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.