Which of the following postulates led to the discovery of non-Euclidean
geometry?
O
A. Any straight line segment can be extended indefinitely.
O
B. A straight line segment can be drawn between any two points.
O
C. All right angles are equal to one another.
O
D. Through a given point not on a given line, there is exactly one line
parallel to the given line.

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.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Round each decimal to the nearest thousandth. a. 5.39562 b. 0.12345 c. 5634 d. 18.93763