In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $18 for drawing a jack or a queen and $7 for drawing a king or an ace. A person who draws any other card pays $4. If a person plays this game, what is the expected gain?

What is the value of x? enter your answer in the box. photo attached.

Problem fathi wants to print out a pdf document that is 48 pages long. to save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. how many sheets of paper will he need?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)