figure EFGHI is rotated 270 degrees counter -clockwise about the origin , What would be the resulting coordinate of point F?

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.

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

Gray looks up the definition of point. a point is a location in a region. what is true about the statement describing the word point? 1. the statement uses the terms location and region that are defined based on an understanding of a point. 2.the statement precisely defines the concept of a point. 3. the statement does not include information needed to fully define a point. 4. the statement is an incorrect description of a point because it does not use mathematical words.