Answer:
x = 25/2
y = 5
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal when the lines are parallel
4x+8y = 18y
We also know that 18y +90 = 180 since they form a straight line
18y +90 = 180
Subtract 90 from each side
18y+90-90=180-90
18y = 90
y =5
Now we can solve for x
4x+8y = 18y
4x+8y-8y = 18y-8y
4x = 10y
Since y = 5
4x = 10(5)
4x = 50
4x/4 = 50/4
x = 25/2
x = 50/4
Answer:
for independent A and B, P(A|B) = P(A)
Step-by-step explanation:
The definition of conditional probability is ...
P(A|B) = P(A&B)/P(B)
When A and B are independent, ...
P(A&B) = P(A)·P(B)
so the conditional probability is ...
P(A|B) = (P(A)·P(B))/P(B) = P(A) . . . . . for independent A and B
In words, when A and B are independent, the probability of A given B is the same as the probability of A. That is, the probability of B has no effect on the probability of A.
Answer:
Twelve years from now, you will be inheriting $60,000 What is this inheritance worth to you today if you can earn 6.0 percent interest, compounded annually? Feedback: Present value = $60,000/(1 + . 06) = $29,818.16 18. You want to have $32,000 for a down payment on a house 5 years from now.
Step-by-step explanation:
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