Answer:
40°, 95°, 105°, and 160°
Step-by-step explanation:
Let the smallest angle be x.
Measures of the 3 angles can be expressed as:
The sum of all angles in a quadrilateral = 360°.
Therefore,
Solve for x
The smallest angle = 40°
Plug in the value of x in the earlier stated expressions to find the measure of the other angles:
Answer:
(a)Charlie is right
(b)$0
Step-by-step explanation:
(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.
In the game, the possible outcomes are: HH, HT, TH and TT.
Charlie wins when the outcome is HH, TT
Lucy wins when the outcome is HT or TH
Therefore, the game is fair. Charlie is right.
(b)
If the outcome is HH, Lucy pays $3.
If the outcome is HT or TH, Lucy gets $2.
If the outcome is TT, Lucy pays $1.
The probability distribution of Lucy's profit is given below:
Expected Profit
Lucy's expected profit from the game is $0.