A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a
quadratic regression equation for this set of data, rounding all coefficients to the
nearest tenth. Using this equation, find the height, to the nearest foot, at a time of 7.1
seconds.
Time in Seconds (x) Height in Feet (y)
0.3 49
0.6 97
1.1 169
1.6 230
2.1 286

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?