The complement of 31° is the angle that when added to 31° forms a right angle (90° ).
Answer:
y =7
Step-by-step explanation:
2(5y-3)+2(4y) = 120 units
10y - 6 + 8y = 120 units
18y= 120+6
y = 126/18
y = 7
Answer:
2860016
Step-by-step explanation:
Well you know that the amount of boys that voted for Danny has to be 123 - 55, so you do that and get 68, then the ratio of girls to boys is 55:68, and that can't be simplified anymore because 55 has factors of only 1, 55, 11, and 5, and that doesn't get you anywhere.
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.
Outcomes value probability
win 225 1/4
lose 0 3/4
cost of bet = 40
So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25
This means that in the long run, gambler will win, since the expected value is positive. (does NOT mean she will win in the next bet!)
