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Provide an example of a relation R on A = (1,2,3) such that: a) R is both symmetric and antisymmetric b) R is neither symmetric nor antisymmetric
You've four chains each consisting of three solid links. You need to make bracelet by connecting all four chains. It costs 2 cents to break a link and 3 cents to resolver it.
Suggest forming max area rectangle out of a piece of wire length L inches. What should be the best width and height of the rectangle?
A company can produce the small lot of products the first time at the cost of $10,000. If their 75 percent learning curve permits them to reduce their costs upon each lot, determine the total cost
You have just timed a person doing a job a few times. The first time it took the person 25 minutes, the second time it took 20 minutes, and the third time it took 17.55 minutes. Which learning curv
If their 65 percent Learning Curve allows them to reduce their costs on each product, compute the total cost of producing 400 units of the new product?
You have just timed a person doing the job four times. The first time it took the person 120 minutes, the second time it took 90 minutes, the third time it took 76.1 minutes, and fourth time it too
The 50th repetition of a job is timed at 100 minutes. If the learning curve for this job is 90 percent, what is the estimated time for the 100th repetition of this job?
Mathematical sequences can be employed to model real life applications. Assume you want to develop a movie theater in your town. The number of seats in each row can be modeled by formula C_n = 16 +
At a 12-week conference in mathematics, Sharon met seven of her friends from college. Throughout the conference she met each friend at lunch 35 times, every pair of them 16 times, every trio eight t
Assume that there're n phone booths in region and we wish to visit each of them twice, but not in two consecutive times. Explain the computational complexity of a naive algorithm for ?nding an orde
A newly discovered planet orbits distant star with the same mass as the Sun at an average distance of 129 million kilometers. Its orbital eccentricity is 0.5. Find the planet's orbital period in mo
What measure should we employ to determine on average what proportion of patients similar to those studied per day will develop noscomial infection? 5,031 patients in the initial study, 596 patients
Write down a function which provides your profit based upon the number of burgers sold. The cost of the franchise is $15,000. You find out that each burger you sell costs $1.50 to make and sells for
In my book, it says that sample size assumption means the sample size, n, must be large enough, which is must be no larger than 10% of the population.
A rubber ball is dropped to a hard surface from height of 10 feet, and it bounces up and down. At each bounce it rises to 85% of height from which it fell. Determine a formula for, h(n) the height i
Andre's company manufactures rectangular storage sheds. The sheds are made with the aluminum side panels which measure 8 feet, 10 feet, 12 feet, and 15 feet along bottom edge.
Find the supremum and infimum of each S. State whether they are in S. 1.) S={x,x^2 less than or equal to 7} 2.) S={x, x=rational and x^2 less than or equal to 7}
Find the constants m and b in the linear function f(x)=mx+b so that f(0)=5 and f(3)=-4.
Peter and Paul agree to meet at the restaurant at noon. Peter arrives at time normally distributed with mean 12:00 noon, and standard deviation 5 minutes.
Without the aid of any measuring device, how can you employ a transparent 16-ounce mug to measure a volume of water that is exactly 8 ounces?
A pilot is steering plane in the direction N60°E at an airspeed (speed in still air) of 200 km/h. The true course, or track, of plane is the direction of the resultant of the velocity vectors of
In order to keep track of circulation numbers, the library asks you to note on a form, when you leave the library, which combinations of 15 subject areas and 8 types of material you used.
At Chicago O'Hare International Airport, there're an average of 1,042 flights for each day. Prove that at least two of these flights should take off within 90 seconds of each other.
A newly discovered planet orbits the distant star with same mass as the Sun at an average distance of 129 million kilometers. Its orbital eccentricity is 0.5.