(1 point) If P(E∩F)=0.021P(E∩F)=0.021, P(E|F)=0.07P(E|F)=0.07, and P(F|E)=0.1P(F|E)=0.1, then

(a) P(E)=P(E)=

(b) P(F)=P(F)=

(c) P(E∪F)=P(E∪F)=

(d) Are the events EE and FF independent? Enter yes or no .

(a)P(F)=0.3

(b)P(E)=0.21

(c) P(E∪F) = 0.489

(d)Therefore E and F are dependent event.

Step-by-step explanation:

Given that ,

P(E∩F) = 0.021  and  P(E|F)= 0.07 and  P(F|E).

Conditional probability: When an event occurring in presences of other event that probability is known as conditional probability.

(a)

From the conditional probability we get:

       [ putting the value of P(E|F) and P(E∩F)]

⇒P(F)=0.3

(b)

similarly,

⇒P(E)= 0.21

(c)

P(A∩B)=0 then event A and B are mutually exclusive.

Then P(A∪B)= P(A)+P(B)

and P(A|B) = 0

Again P(A∩B) ≠ 0 then event A and B are mutually inclusive.

Then P(A∪B) = P(A)+P(B)-P(A∩B)

Since P(E∩F) = 0.021 then event E and F are mutually inclusive.

Therefore P(E∪F) = P(E)+P(F)-P(E∩F)

        ⇒ P(E∪F) =  0.21+0.3-0.021

       ⇒ P(E∪F) = 0.489

(d)

We know that in conditional probability an event occur on occurring of other event.

Independent event: When an event does not affect another event . Then this two event is known as independent event.

But here event E and F both outcomes are affected by each other.

Therefore E and F are dependent event.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: