Since the events are dependent, the probability of occurrence of event B will impact the probability of occurrence of event A. So we will be using the formula of conditional probability to find P(A ∩ B).

Here P(A*B) indicates P(A ∩ B).
Using the values, we get:
P(A ∩ B) = 0.25 x 0.4 = 0.1
Thus, option A gives the correct answer.
Answer: 15 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.
Replacing with the values given:
Tan 31 = x /25
Tan 31 (25) =x
x = 15 feet
Feel free to ask for more if needed or if you did not understand something.
x^2-9x-6=0
Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2
slope is just "how much up or down" for one step to the right.
its clearly negative here
only -3 seems to be remotely plausible looking at the graph in your screenshot
Answer:
The number of fishes person b initially has is 0
The number of fishes person a initially has is x, where x is any natural number
Step-by-step explanation:
The given parameters are;
let x represent the number of fish person a catches and let y represent the number of fishes that person b catches, we have;
x - x/2 = y + x/2
2·x - x = 2·y + x
2·x = 2·y + 2·x
∴ y = 0
Therefore;
The number of fishes person b initially has = 0
The number of fishes person a initially has = x, where x is any natural number.