The distance, d, an object travels from rest while accelerating in t seconds is given by the formula d = 1/2at^2, where a is the acceleration of the object.

part a: solve for the acceleration, a, to write the equation in terms of the distance, d, and time, t.

part b: solve instead for the time, t, and write the equation in terms of the acceleration, a, and distance, d.

part c: explain why it is useful to solve a formula for a specific variable.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.