Consider two events such that p(a)=3/4, p(b)=2/5 and p(anb)=1/3. are the events a and b independent? yes, they are independent because p(a)xp(b)=p(anb) no, they are dependent because p(a)xp(b)=p(anb) yes they are independent because p(a)xp(b)doesn’t equal p(anb) no, they are dependent because p(a)xp(b)doesn’t equal p(anb)

If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.

P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10

Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

f

step-by-step explanation:

f