Answer:
P(A U B)=P(A)+P(B)
Step-by-step explanation:
Reading the options that we have for the answer, one of them (the first one) is the definition of being independent. A and B are independent if and only if P(A ∩ B)=P(A)*P(B).
So the first one IS necessary true for independent events and with this equation, option two and three are necessary true for independent events:
For definition of P(A | B)
P(A | B)= P(A ∩ B) / P(B)
And we replace P(A ∩ B) using the first option that we know it´s true:
P(A | B)= P(A)*P(B) / P(B)= P(A)
So P(A | B)=P(A) it´s true for A and B independent.
The same process goes to show P(B | A)=P(B)
Because of this, the only one of the options that could not be true for independent events is P(A ∪ B)=P(A) + P(B), and this happens because P(A ∩ B)=P(A)*P(B) applies but it could be different from 0 considering P(A ∪ B)=P(A) + P(B) - P(A ∩ B). We conclude this property (P(A ∪ B)=P(A) + P(B)) is not necessary true for A and B independent.
Answer:
4%
Step-by-step explanation:

A = final amount
P = initial amount
r = interest rate per time period
n = number of times compounded per time period
t = number of time period
A = 3932.82
r = what we want to find
n = 2
t = 6

divide both sides by 3101 to isolate the exponent and its parts

put both sides to the power of (1/12) to help isolate the variable

subtract 1 from both sides to isolate the variable and its coefficient

multiply both sides by 2 to get r

r ≈ 0.04 = 4%
So I will be assuming that EG = 8 is the length
of the line segment EG. If that's the case, therefore the coordinates of G would
simple be:
G =11 ± 8
G = 11 – 8, 11 + 8
G = 3, 19
<span>So G can have a coordinate of 3 or 19.</span>
7. 40/5=8. 40-8=32 32
8. 8*2=16 40-16=24. 24
9. 5/6
50 minus 5 equals 45 hope this helped give me brainliest plz