Answer:
Third option
![y = (x+1) ^ 2 + 5](https://tex.z-dn.net/?f=y%20%3D%20%28x%2B1%29%20%5E%202%20%2B%205)
Step-by-step explanation:
In this case we must write a quadratic equation in the vertex form.
We have the vertice. (-1, 5)
We know that the vertex form for a quadratic equation is:
.
Where (h, k) is the vertex.
So if the vertex is (-1, 5), the equation sought is:
![y = (x-(-1)) ^ 2 + 5](https://tex.z-dn.net/?f=y%20%3D%20%28x-%28-1%29%29%20%5E%202%20%2B%205)
![y = (x+1)) ^ 2 + 5](https://tex.z-dn.net/?f=y%20%3D%20%28x%2B1%29%29%20%5E%202%20%2B%205)
Therefore the answer is the Third option.
Answer:
90cm cube
Step-by-step explanation:
V= lbh
V= 6×3×5
V= 90cm cube
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%)
D
because the median of A is 20, the median of B is 30