Answer:
This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.
Step-by-step explanation:
We have these following probabilities:
A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.
A 30% probability of making the 3 point shot and winning.
What should the coach do, go for the 2 point shot or the 3 point shot?
In which case the team has a higher probability of winning?
The team has:
A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.
Going for the 3 point shot, the team has a 30% probability of winning.
This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.
The 3rd one: "Converse of the Same-Side Interior Angles Postulate"
Answer:
x = 5
Step-by-step explanation:
1. Expand
8x - 5x + 5 = 20
2. Simplify
3x + 5 = 20
3. Subtract 5 from both sides
3x = 20 - 5
4. Simplify
3x = 15
5. Divide both sides by 3
x = 15/3
6. Simplify
x = 5
Answer:
Rate of change = -12
Step-by-step explanation:
y − 3 = −12(x + 4)
Expanding, we have;
y - 3 = -12x - 48
y = -12x - 48 + 3
y = -12x - 45
Now, formula for rate of change is;
Rate of change = (y(x + h) - y)/h
y(x + h) is; y = -12(x + h) - 45
This gives;
Rate of change = (-12(x + h) - 45 + 12x + 45)/h
Rate of change = (-12x - 12h - 45 + 12x + 45)/h
Rate of change = -12h/h
Rate of change = -12
Answer:
-0.075
Step-by-step explanation:
[Player R, Player C] cases & outcomes :-
- (Vowel, Vowel) = (0,0)
- (Consonant, Consonant) = (0,0)
- (Vowel, Consonant) = (6,-6)
- (Consonant, Vowel) = (-5,5)
- Prob (R chooses consonant) = 75% = 0.75
- Prob (R chooses vowel) = 1 - 0.75 = 0.25
- Prob (C chooses vowel) = 30% = 0.30
- Prob (C chooses consonant) = 1 - 0.30 = 0.70
Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant
= (0.75)(0.30)(-5) + (0.25)(0.70)(6)
-1.125 + 1.05
= -0.075
