At an impaired driver checkpoint, the time required to conduct the impairment test varies (according to an exponential distribution) depending on compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) and there is a single lane at the checkpoint, determine the average time spent in the system.

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)

5. (03.02)if g(x) = x2 + 3, find g(4). (2 points)1619811

What unit of been sure would be appropriate for the volume of a sphere with a radius of 2 meters