You are examining the outside of the shipping boxes for damage. There are 10 shipments to be examined, where each shipment contains the same number of boxes. For each shipment, you count how many punctures there are amongst all the boxes. The results are given below. 3, 1, 0, 2, 1, 4, 9, 5, 3, 2 (1) Calculate the upper control limit for a c-chart for the average number of punctures per shipment. Please type your answer in 3 decimal places.

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.