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
Determinant = b² - 4ac = (-10)² + 4*1*25 = 100 - 100 = 0
So it has 1 solution.
Answer is D
Answer:
Just substitute
Answers in order of questions
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Triangles equal 180. The bottom left corner is 90 in this triangle. Add the angles together set equal to 180.
x = unknown angle
90 + 67 + x= 180
157 + x= 180
subtract 157 from both sides
x= 23
ANSWER: x=23
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