A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 20 mm halfway across a horizontal distance of 160 mm. Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work.

Part B: Identify the focus, directrix, and axis of symmetry of the parabola.

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?