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Calculate the given quantities if a = <1,1,-2>, b= <3,-2,1>, and c=<1,1,-5>.
a) 2a + 3b
b) |b|
c) Unit vector in the direction of b.
d) a (dot) b
e) a x b
f) comp a/b
g) proj a/b
h) Volume of the parallelepiped determined by a , b , and c.
i) Determine whether a and b are parallel, perpendicular or neither.
Calculate the probability that a student with an A on the midterm examination will obtain a final grade of A?
A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions.
Describe the steps necessary to calculate the experimental probabilities of- Drawing two red cards one after the other from the given deck if the cards are returned to the deck after each pick.
A test vehicle on a track goes through photo gates spaced 25 m apart at the following times: 2.00 sec, 3.30 sec, 4.30 sec. Plot the position versus time of the vehicle. Plot the average speed of the vehicle in the time intervals versus time.
For a given event, if the payoffs for alternatives 1, 2, and 3 (the only alternatives) are 50, 125, and -50 respectively, what is the regret associated with alternative 1?
A hat contains n coins, f of which are fair and b of which are biased to land on heads with a probability of 2/3. A coin is drawn from the hat and tossed twice.
Your coin collection contains 53 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2063, assuming they appreciate at a 4.4 percent annual rat..
Using the optimistic and conservative approaches in a decision analysis will never give the same optimal decision is the question true or false?
Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent.
What would be the scheduling model for this situation (environment, restriction, constraints) if you wish to minimize the total time in system? Use the appropriate scheduling notation.
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
illustrtes the impact of diversification. ignores the probability distribution of cash flows. can only measure one outcome at a time
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