Researchers for the University of Maryland Department of Civil and Environmental Engineering used stochastic dynamic programming
to determine optimal load estimates for electric power (Journal of Energy Engineering, Apr. 2004). One objective was to determine the probability that a supplier of electric power would reach or exceed a specific net profit goal for varied load estimates. All load estimates in the study yielded a probability of .92. Consider two different suppliers of electric power (Supplier A and Supplier B) acting independently. a. What is the probability that both suppliers reach their net profit goal? b. What is the probability that neither supplier reaches its net profit goal? c. What is the probability that either Supplier A or Supplier B reaches its net profit goal?
1 answer:
You might be interested in
Given:
Rectangular coordinate = (8, 6)
To convert:
Rectangular coordinate to polar coordinate with r > 0 and 0 ≤ θ < 2π.
Solution:
Let us find r:
r = 10
Now, find θ:
Cancel the common factor 2.
θ = 36.87°
The polar coordinates are (r, θ) = (10, 36.87°).
Answer:
Step-by-step explanation:
The following information is missing in the given question:
Using this we may solve the question as:
We are given the following in the question:
We have to find the number c such that f(x) satisfies the Mean value theorem.
Mean Value theorem:
It states that if the function is differentiable in the closed interval [a,b], differentiable in the interval (a,b), then there exist c in (a,b) such that:
Now,
Continuity in [0,9]
Since a polynomial function is continuous everywhere, f(x) is continuous in [0,9]
Differentiability in (0,9)
Since a polynomial function is differentiable everywhere the given function is differentiable in interval (0,9)
Then, by mean value theorem:
Answer:
The answer to your question is There is only one solution (0, -2)
Step-by-step explanation:
Data
Equation 1 x - y = 2
Equation 2 x + y = -2
Solve for y
Equation 1 y = x -2
y = x - 2
Equation 2 y = - x - 2
See the graph below
These lines cross in point (0 ,-2), that is the only solution.
If the lines have not crossed, they were parallel lines.
