Out of fifty students, twenty five are taking Math Competition classes and 29 are taking Geometry. Given that 12 are taking History and no math classes and nineteen students are in both math classes. What is the probability that a randomly-chosen student from this group is taking only the Geometry class?

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Yahir designs bracelets. he uses between 9 and 15 red and yellow beads in the ratio of 2 red bead to 5 yellow beads. drag the beads into the container to meet these requirements

Which of the following statements would be sufficient to prove that parallelograms pqrs is a rectangle ?