The distance between points is calculated through the equation,
D = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
We calculate for the distances of each of the pairs.
(-3,4) and (3, 4)
D = sqrt ((4 - 4)² + (3 --3)²) = 6
(-5,3) and (-5,11)
D = sqrt ((-5 --5)² +(11 - 3)²) = 8
(-20,-18) and (-22,-21)
D = sqrt ((-20 --22)² + (-18 --21)²) = 3.6
(2,4) and origin
D = sqrt ((2 - 0)² + (4 - 0)²) = 4.5
(7,8) and (-2,20)
D = sqrt ((-2 - 7)² + (8 - 20)²) = 15
Arranging the distances will give us an answer of C, D, A, B, E
The answer is letter C.
Answer:
the conditional probability that X = 1 , X = 2 and X = 3 is 0.7333 (73.33%) , 0.25 (25%) and 0.0167 (1.67%) respectively
Step-by-step explanation:
a player wins money when i>0 then defining event W= gain money , then
P(W) = p(i>0) = p(1)+p(2)+p(3)
then the conditional probability can be calculated through the theorem of Bayes
P(X=1/W)= P(X=1 ∩ W)/P(W)
where
P(X=1 ∩ W)= probability that the payout is 1 and earns money
P(X=1 / W)= probability that the payout is 1 given money was earned
then
P(X=1/W)= P(X=1 ∩ W)/P(W) = P(X=1) / P(W) = p(1) /[p(1)+p(2)+p(3)] = 11/40 /(11/40+3/32+1/160
) = 0.7333 (73.33%)
similarly
P(X=2/W)=p(2) /[p(1)+p(2)+p(3)] = 3/32 /(11/40+3/32+1/160
) = 0.25 (25%)
P(X=3/W)=p(2) /[p(1)+p(2)+p(3)] = 1/160 /(11/40+3/32+1/160
) = 0.0167 (1.67%)
Answer is c -3/2 slope and intercept of 1/2
