Answer:
We conclude that expected value of this game is -0.865$.
Step-by-step explanation:
We know that in a lottery game, a player picks six numbers from 1 to 27.
We know that

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.
He can win 40,000 dollars.
We calculate:

We conclude that expected value of this game is -0.865$.
B is rational. B is the correct answer. B is rational.
Marcel leaves 30 minutes after Carolyn, leaving between them a gap of 40mph*0.5h=20miles
To catch up with the 20miles, Marcel uses the extra (65-40=25)mph that he has.
Therefore 20m/25mph=0.8h=0.8*60min=48minutes after 2:45, which is at 3:33, Marcel catches up to Carolyn.
Answer:
12
Step-by-step explanation:
5 + b ÷ (11 - 9)
Substitute b = 14
5 + 14 ÷ (11 - 9)
Work the order of operations from left to right
Since there are no exponents, parentheses first
5 + 14 ÷ (11 - 9)
5+14 ÷ 2
Then division
5+7
Then addition
12