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.
Sum of interior angles of a △ = 180°
∴ ∠T + ∠V + ∠U = 180°
⇒ 37° + 63° + X° = 180°
⇒ X° + 100 = 180°
⇒ X° = 180° - 100°
⇒ X° = 80° (D).
Answer:
The Question isn't clear
Step-by-step explanation:
Option A is correct.
If we evaluate the function at 
, i.e. at the beginning, we have
with each minute, you multiply the current number of cell by 2, so they double every minute.
Option B is incorrect, because if the number of cells increases by 2 every minute, the function would be
Option C is incorrect, because after one minute (i.e. when x=1) we have
cells, so 75 is not the number of cells after one minute
Option D is incorrect in both the initial value and the behaviour of the function
