Answer: Tenths
Step-by-step explanation:
Answer:
Events A and B are not independent.
Step-by-step explanation:
In order for two events to be independent, the following relationship must be true:
![P(A\cap B) = P(A)*P(B)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%20%3D%20P%28A%29%2AP%28B%29)
The intersection between events A and B is the outcome that Bob and Alice have exactly one girl, the probability is:
![P(A\cap B) = 0.4*0.4*(1-0.4)\\P(A\cap B) = 0.096](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%20%3D%200.4%2A0.4%2A%281-0.4%29%5C%5CP%28A%5Ccap%20B%29%20%3D%200.096)
For event A, the possible outcomes are having one or two girls:
![P(A) = 0.4*0.4*(1-0.4)+0.4*(1-0.4)*(1-0.4)\\P(A) = 0.240](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.4%2A0.4%2A%281-0.4%29%2B0.4%2A%281-0.4%29%2A%281-0.4%29%5C%5CP%28A%29%20%3D%200.240)
For event B, the possible outcomes are having none or one girl:
![P(B) = 0.4*0.4*(1-0.4)+0.4*0.4*0.4\\P(A) = 0.16](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.4%2A0.4%2A%281-0.4%29%2B0.4%2A0.4%2A0.4%5C%5CP%28A%29%20%3D%200.16)
Therefore, P(A) x P(B) is:
![P(A) *P(B)= 0.240*0.160=0.0384\\](https://tex.z-dn.net/?f=P%28A%29%20%2AP%28B%29%3D%200.240%2A0.160%3D0.0384%5C%5C)
Since P(A) x P(B) ≠ P(A∩B), events A and B are not independent
Inferring that they are the only three players, all of their votes equal to 100%. If Dev gets 10%, that leaves 90% for Joe & Holly. You are now looking for a number that , when doubled adds to 90%.
Using an equation: a+2a=90
Solve for a.
3a=90 a=90/3
Now we have 10%,30%, & 60%
Answer:
Step-by-step explanation:
Hello,
by definition the absolute value is always positive
so |4x-9| >= 0
so the equation |4x-9| > -12 is always true
so all real numbers are solution of this equation
hope this helps