Let (x, y ) be a random point chosen uniformly on the region r = {(x, y ) : |x| + |y| ≤ 1} a. sketch r b. find the marginal densities of x and y using your sketch. be careful of the range of integration. c. find the conditional density of y given x.

You’re repairing a large rectangular aquarium. the final step is to cover the glass with a protective film. the front and back of the aquarium measure 4 meters by 2 meters, and the sides of the aquarium measure 3 meters by 2 meters. how many square meters of protective film do you need? ( )

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

Aquadratic equation in standard from is written ax^2= bx+c, where a,b and c are real numbers and a is not zero?