Am not good at that much but let me try
Answer:
<h2>In the attachment</h2>
Step-by-step explanation:

-x + 8 = x - 10
8 - x = x - 10
8 = x - 10 + x
8 = 2x - 10
8 + 10 = 2x
18 = 2x
18/2 = x
9 = x
x = 9
Answer:
x is 3
Step-by-step explanation:
6 (x + 1) = 24
6 (x) + 6(1) = 24
6x + 6 = 24
Subtract 6 on both sides
6x + 6 - 6 = 24 - 6
6x + 0 = 18
6x = 18
x = 18/6
x = 3
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.