Answer:
C
Step-by-step explanation:
The correct answer would be
. Therefore, none of the answer choices fulfill this and A and B are not correct.
Answer:

Step-by-step explanation:
Given that,
The base of a triangle = 2 km
The perpendicular height of the triangle = 
We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

So, the value of x is equal to
.
X = 19
Because it’s an isosceles triangle, those two sides have to equal to each other so
2x+ 7 = 45
Subtract 7 from both sides
2x = 38
Divide by 2
X = 19
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.