Midpoint formula ((x1+x2)/2, (y1+y2)/2)
((4+10)/2, (2+4)/2)
answer is (7,3)
Answer: The answer is A
Step-by-step explanation:
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%)
For this question, we're going to use the law of cosines.
The law of cosines is the following equation:
We know the values of a, b, and c. We want to find the measure of angle A.
Now, plug in these values into the equation.
Add both sides by
and subtract both sides by 16
Divide both sides by 36
Take the inverse cosine, or arc cosine, of both sides.
Using a calculator, you'll get the following result.
The measure of angle A should be 36.3 degrees. Hope this helps! :)