After paying $5 to play, a single fair die is rolled, and you are paid back the number of dollars corresponding to the number of dots facing up. for example, if a 6 turns up, $6 is returned to you for a net gain, or payoff, of $1, if a 4 turns up, $4 is returned for a net gain of minus$1, and so on. what is the expected value of the game? is the game fair? the expected payoff of the game is $ nothing.

-$1.5

Unfair game as you are expected to lose money

Step-by-step explanation:

There's 1/6 chance of getting 1 face of the dice.

So the expected gain from the game is

Since the cost to play game is $5, the expected value of the game is

$3.5 - $5 = -$1.5

Since this is a negative amount, the game is unfair. You are losing $1.5 as you play.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

answer: -8.2562234e+13