Answer:
Expected number of hours before the the group exits the building = E[Number of hours] = 3.2 hours
Step-by-step explanation:
Expected value, E(X) is given as
E(X) = Σ xᵢpᵢ
xᵢ = each variable
pᵢ = probability of each variable
Let X represent the number of hours before exiting the building taking each door. Note that D = Door
D | X | P(X)
1 | 3.0 | 0.2
2 | 3.5 | 0.1
3 | 5.0 | 0.2
4 | 2.5 | 0.5
E(X) = (3×0.2) + (3.5×0.1) + (5×0.2) + (2.5×0.5) = 3.2 hours
Hope this Helps!!!
Answer:

Step-by-step explanation:
Given:
Vertex of the parabola is, 
Equation of the parabola in vertex form is given as:

Plug in
. This gives,

Therefore, the equation of the given graph is
.
Write f(x) / g(x) = 1 / ((x+1)(x-2)).
It's easy to see that x cannot be -1 and 2;
So all real numbers exclude -1 and 2, which matches the second choice.
Hello,
We must find the corresponding points: (using angles)
A-->P
B-->Q
C-->R
AB/PQ=BC/QR=AC/PR ===> c/r=a/p=b/q
Answer C