A 384 square meter plot of land ts to be enclosed by a fence and divided into two equal parts by another fence parallel to one pair sides. What dimensions of the outer rectangle will minimize the...

An open rectangular box is to be made from a 9X12 piece of tin by cutting squares of side x from the corners and folding up the sides. What should X be to maximize the volume of the box?

Two sides of a triangle have lengths a and b and the angle between them is angle theta. What value of angle theta will maximize the triangle's area? Use the formula A=1/2absintheta.

Ghalib loves making a special soda drink. He fills 1/3  of the container with orange soda. He fills the remaining space with 4 cups of lemon-lime soda.How many pints of his special soda...

One estimate of the population of the world on January 1,2005 is 6,486,915,022. The pop. is estimated to be increasing at the rate of 1.4% per year. At this rate, what will the population of the world...

A contest at a fast-food restaurant offered the following cash prizes and probabilities of winning on one visit when a customer buys an order of French fries for \$ 1.63 Find the expected winnings...

1.Events X and Y are mutually exclusive.Suppose P(A)=0.30 and P(B)=0.20 .    What is the probability that A or B occurring?    2.Suppose P(A)=0.04 and P(B/A)=0.30. What...

In which situations can you conclude that the object is undergoing a net interaction with one or more other objects? (Select all that apply. 1)A car travels at constant speed around a circular...