An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. the correlation coefficient y between output and time under a load of 588 n was −0.9515. measurements were taken 120 times per second for 300 seconds, for a total of 36000 measurements. find a 95% confidence interval for the population correlation rho.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.