Let a and b be two disjoint events such that p(a) = 0.30 and p(b) = 0.60. what is p(a and b)? a. 0.18 b. 0.72 c. 0.90 0 d. none of the above

none of the above

Step-by-step explanation:

Let A and B be two disjoint events such that P(A) = 0.30 and P(B) = 0.60.

we need to find out P(A  and B) that is P( A intersection B)

Given A  and B  are disjoint events

The outcome of one event does not depends on the other event

so there is no intersection between event A  and event B

P(A and B)= Ф (null set)

answer is none of the above

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.