B + G = 63
B = G + 11
G + 11 + G = 63
2G + 11 = 63
2G = 63 - 11
2G = 52
G = 52/2
G = 26 <=== 26 girls
B = G + 11
B = 26 + 11
B = 37 <=== 37 boys
Answer:
9
Step-by-step explanation:
A = B + 2
C = B - 3
A x C = 66
A = Andrew
C = Chris
B = Beatrice
Multiply A and c together
(B + 2) x (b - 3)
b^2 - 3b + 2b - 6
b^2 -b - 6 = 66
b^2 - b - 72 = 0
factors of -72b^2 that add up to - b are -9b + 8b
b^2 + 8b -9b - 72
b (b + 8) -9(b + 8)
b = 9 or - 8
b = 9
Answer:
No
Step-by-step explanation:
x y
y = - 3(-2) + 1 = 7 -2 7
y = -3(0) +1 = 1 0 1
y = -3(1) + 1 = -2 1 -2
y = -3(3) + 1 = -8 3 -8
9514 1404 393
Answer:
mutually exclusive
Step-by-step explanation:
The formula of interest is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, we have ...
9/10 = 2/5 + 1/2 - P(A and B)
Solving for P(A and B), we get ...
P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10
P(A and B) = 0
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Events are mutually exclusive when <em>they can never happen at the same time</em>. That is, P(A and B) = 0.
The events A and B are mutually exclusive.