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:
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Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is
Add 3 on both sides.
Therefore, the required equation of line is .