Answer:
P(A ∩ B) = 0.75 (option d)
Step-by-step explanation:
P(A)=0.50
P(B)=0.40
P(A U B)=0.15
P(A ∩ B)=?
P(A U B)=P(A)+P(B)-P(A ∩ B)
Replacing the given values:
0.15=0.50+0.40-P(A ∩ B)
Adding like terms:
0.15=0.90-P(A ∩ B)
Solving for P(A ∩ B):
Subtracting 0.90 both sides of the equation:
0.15-0.90=0.90-P(A ∩ B)-0.90
Subtracting:
-0.75 = -P(A ∩ B)
Multiplying both sides of the equation by -1:
(-1)(-0.75) = (-1) ( -P(A ∩ B) )
0.75 = P(A ∩ B)
P(A ∩ B) = 0.75
Your answer is x = 7 – 2y
Hi there!
An easy strategy to compare fractions is to get a common denominator in both. In this case we could come up with the common denominator of 24 by multiplying 2/6 * 4 and 5/8 * 3.
2/6 * 4 and 5/8 * 3 <--- Equation.
8/24 and 15/24 <--- Simplified from step 1.
And now it's easy to compare!
Answer:
10
Step-by-step explanation:
because it shows where the line is
To answer this, just set each factor = to 0 and solve for x:
x=0
x=3
x=-9
x=7
so the zeros of the function are {-9, 0, 3, 7}.