Answer:
A. no, not independent
Step-by-step explanation:
Let A = "father born in Michigan" and B = "mother born in Michigan".
If A and B are independent, then ...
P(A|B) = P(A)
The table tells us ...
P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397
and
P(A) = 0.48
Since 0.48 ≠ 0.397, we must conclude that the events are not independent.
Answer:
y = -5x+11
Step-by-step explanation:
Im think the answer is: 60000000000
Given:
Bobby put 1/3 of his lawn mowing money into his savings
He uses the remaining 2/5 to buy a video game.
He has $12 left.
To find:
The amount did he have at first.
Solution:
Let x be the initial amount.
Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

He uses the remaining 2/5 to buy a video game. Then the remaining amount is





It is given that the remaining amount is $12.



Divide both sides by 2.


Therefore, Bobby have $30 at first.
The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
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Answer: (x^2-6)(x+5)