Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
Step-by-step explanation:
Answer:
endpoint is (29, -13)
Step-by-step explanation:
Formula for midpoint is 
So, let 
be the coordinates of the endpoint you are looking for.
and 
= (10, -3)
-9 + 
= 20 7 + 
endpoint is (29, -13)
Essay Definition of Citizenship:
In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.
Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.
The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.
Answer:
72.51
Step-by-step explanation:
Given that :
Lab score % = 23%
Each Major test % = 22.5%
Final exam % = 32%
Score :
Lab score = 96
First Major test = 64
Second major test = 62
Final exam = 69
Hence,
Weighted average = Σ(weight % * score)
Weighted average = Σweight_1*score_1 +.. Weight_n * score_n)
(0.23 * 96) + (0.225 * 64) + (0.225 * 62) + (0.32 * 69) = 72.51
The standard deviation<u> </u><u>INCREASES</u>
Step-by-step explanation:
Standard deviation is used to show how the points of the data deviate from the mean. The formulae for deriving standard deviation is attached. As seen from the formulae, the greater the variance of the data from the mean, the higher the Standard Deviation.
The mean of the given data points is $103.4. $450 is way off from this mean meaning that there is a large variance in this data point.
