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:
Yes
Step-by-step explanation:
To see is (2, 6) is a system, we can plug it into the system to check if it gives us true statements:
6 = -2+8
6 = 6
6 = 5(2)-4
6 = 10-4
6 = 6
Both of the equations are true, therefore (2, 6) is a solution to this system.
B. Triangle B and Triangle D
Triangle A has all equal sides and Triangle C is a right triangle.
7 is 35% of x.
Thus, since 35% = 35/100,
35% of x is 7, so 35/100 * x = 7.
35x/100 = 7
35x=700
x = 20
7 is 35% of 20.