Y=-1/4x+3 should be the correct answer
Answer:
here according to BODMAS
we first have to multiply then subtract
so 22×1=22
then 22-22=0
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:
48 units
Step-by-step explanation:
1. graph
2. separate into a triangle and a square
3. the square is 6x6 squares, so 36 there
4. the triangle is 4x6, so (4x6)/2 is 12
5. 36+12 = 48 units
Hi
85% ⇒ 68
100% ⇒ x
85x = 100·(68)
85x = 6800
x = 6800/85
x = 80
Answer: 80
