A card is drawn from a standard 52-card deck. Calculate the expected value for the game. A player must pay 5 dollars to play the game, which must be subtracted from the winnings. If a heart is drawn, the player wins 11 dollars; otherwise, they lose their 5 dollars. Calculate the price that would make the game fair.
The expected value of this game is _dollars. (Round to the nearest cent as needed.)
The fair price of this game is _ dollars. (Round to the nearest cent as needed.)

Me solve this problem, and someone clearly explain to me how to solve it.1.) use the value of the discriminant to determine if the given trinomials has 2 real solutions, 1 real solution, or no real solutions.a.  x2  − 4x  − 7 = 0b. 4r2  + 11r  − 3 = 0c. 3m2  + 7 = 0d.  t2  + 2t  + 1 = 0

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

In one month jillian made 36 local phone calls and 20 long-distance calls what was her ratio of local calls to long-distance calls for that month?