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1) Consider that, on a certain day, 495 passengers want to fly from Honolulu (HNL) to New York (JFK); 605 passengers want to fly from HNL to Los Angeles (LAX); and 1100 passengers want to fly from LAX to JFK.
All of the passengers traveling to and from LAX have direct flights, but only some of the passengers between JFK and HNL are flying direct, whereas the remainder have a layover in LAX.
Let x be the actual number of passengers who fly from HNL to JFK, let y be the total number who fly from HNL to LAX, and let z be the total number who fly from LAX to JFK.
Derive a linear system of two equations in the three unknowns (x, y, z). Use Gauss-Jordan elimination to determine the solution set. 2} Evaluate the matrix of transformation for the orthogonal projection onto the line L that passes through the origin and is in the direction Û=(3/13 , 4/13 , 12/13). Compute the rank of this matrix and explain what it tells you about the possible solutions to the system projL (x) = b for some appropriate vector b.4}
to determine the number of deer in a game preserve, conservationist catches 524 deer, tags them and lets them loose. later 500 deer are caught, 250 of them are tagged. How many deer are in the preserve.
Show that a k-connected graph with at least 2k vertices contains a matching of size k. Is this best possible?
Determine (exactly!) the relative error E of x* as an approximation to x? and calculate the ratio l~l/eps.
A coin is flipped eight times where each flip comes up with either heads or tails how many possible outcomes?a) contain exactly 3 heads
The mean of 40 scores is -29. If each score had 5 added to it, and then divided by 4, what would the mean of these new scores be?
an auto make estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. a random sample of eight such cars had a mean of 23 miles per gallon and the standard deviation of 5 miles per gallon.
Jerry has a total of 23 marbles. The marbles are either blue or green. He has three more blue marbles than green marbles. How many green marbles does he have?
A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road?
Which of the following variable(s) are both quantitative and continuous?
Let X be a set and a binary relation on X .
Suppose that you purchased (randomly select) 3 laptops from a production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing a single repair
Write a graphical user interface class called SentenceCounterGUI. It should be able to manipulate the sentence of words
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