Hello,
Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
In order to determine if the events are independent or not we need to find the conditional probabilities.
The conditional probability of event A, given event B is denoted as P(A|B)

P(A*B) indicates P(A and B)
Using the values, we get:

Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.
Therefore, the correct option is the second one.2. A and B are not independent events because P(A∣∣B)≠P(A)
(1/3) of (14-1/3) = (1/3) x (43/3) = (43/9) = about <em>(4 and 7/9) gallons</em>.
Answer:
27 years
Step-by-step explanation:
Given that :
Town A:
Initial population = 14280
Rate = increase by 160 per year
Let t = time in years
Population is thus :
14280 + 160t - - - (1)
Town B:
Initial population = 24000
Rate = decrease by 200 per year
P = 24000 - 200t - - - (2)
Equate both equations :
14280 + 160t = 24000 - 200t
160t + 200t = 24000 - 14280
360t = 9720
t = 9720 / 360
t = 27
In 27 years
7/8=x/48
x=(7/8)48
x=(7)(48/8)
x=(7)(6)
x=42
D.42