A gardener maintains a large rectangular rose garden of length 15m and width 12m. He plans to lay a wide pathway around the garden that will require 160m squared of paving. What will be the width of the pathway. Show your working out.

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?