In a raffle, you have a 1 475 probability of winning. You spent $5.00 to be entered in the raffle and the prize is a grandfather clock worth $1200. What are your expected winnings in terms of dollars

Expected Earning = $2.6

Step-by-step explanation:

Expected Value is the average value of outcomes, weighted with their respective probabilities.

E (X) = Σ (X.PX) ;

where E (X) = Expected Value, X = Outcome, P(X) = probability of X

Expected Value = [X (win) . Prob (win)]  + [X (lose) . Prob (lose)]

So ; E (X) = (1195) (0.002) + (-5)(0.998)

2.39 - 4.99

= $2.6

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!