Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket. She then travels 10 miles 15° south of east to go to Anissa’s house. How far away and in what direction is Karina’s house from Anissa’s house? Draw a diagram and show your work to justify your answer. Round the distance to the nearest hundredth and the direction to the nearest degree.

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.

Are the corresponding angles congruent? explain why or why not.

Which point on the scatter plot is an outlier? a scatter plot is show. point m is located at 3 and 3, point p is located at 5 and 5, point n is located at 5 and 7, point l is located at 6 and 2. additional points are located at 1 and 3, 2 and 3, 2 and 4, 3 and 4, 3 and 5, 4 and 5, 4 and 6, 5 and 6. point p point n point m point l