Answer:
(y-b) /x = m
Step-by-step explanation:
y = mx+b
Subtract b from each side
y -b = mx+b-b
y-b = mx
Divide each side by x
(y-b) /x = mx/x
(y-b) /x = m
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:
64
Step-by-step explanation:
First-> substitute the matters with their value
Second-> be careful with the signs (-)
Third-> you can calculate it .
Hope it was helpful . Have a great rest of your day !
Answer: a child ticket costs $14.50
Step-by-step explanation:
x=children ticket
x+4.50=adult ticket
3 children and 2 adult
3x+2(x+4.50)=81.50
3x+2x+9.00=81.50
5x+9.00=81.50
5x+9.00-9.00=81.50-9.00
5x=72.50
5x/5=72.50/5
x=14.50
Answer: i don't know you have to figure it out yourself duh.
Step-by-step explanation: this is none of your beeswax ok
