Steve has a photo and a rectangular piece of card. the photo is 16cm by 10cm. the card is 30cm by 15cm. steve cuts along the dotted line shown in the diagram below teve throws away the piece of card that is 15 cm by x cm. The piece of card he has left is mathematically similar to the photo. Work out the value of x.

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?