Arope factory produces ropes that have been measured to be able to lift 500 pounds, with a standard deviation of 6
pounds. one monday, the quality department measures the strength of 30 ropes, and finds them to have an average of
480 pounds with a standard deviation of 1 pound. if the plant only ships production that it is 99% sure is able to lift 500
pounds, what does it do with monday's production?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)