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Sugggest a mass-spring system with unit mass (m = 1), spring constant k = 9, critically damped, and no external force. Suppose that the oscillator starts at rest, and slightly compressed, at the po
Let R be relation on Z such that xRy if and only if x.y is even. For each and every of the following question, if your answer is "no" provide counter example. If your answer is "yes" prove that rela
Two cars are approaching an intersection. One is 3 miles South of the intersection and is moving at a constant speed of 40 mph. At the same time, the other car is 4 miles East of the intersection an
An oil tanker can be emptied by the main pump in four hours. an auxilary pump can empty the tanker in 9 hours. If the main pump started at 9a.m., when should the auxiliary pump be started so the tan
Two gasoline, type A and type B, have octane ratings of 80 and 92 respectively. Type A costs $2.13 per gallon as well as type B costs $3.28 per gallon. Find out the blend of minimum cost with an oc
Assume that we have the collection of six coins, exactly one of which is counterfeit and weighs less than each authentic coin. Use a decision tree to describe a method for indentifying the conunter
Describe that K6 haves three spanning trees T1 , T2 , and T3 such that { E(T1), E(T2) , E(T3) } is the partition of E(K6) and the degrees of the vertices of each tree are 3, 3, 1, 1, 1,
Eight students in a class are asked how many of other seven students they know. One student knows all other students but only two students know the same number of students. Describe that these two
Provide an example of three graphs G1 , G2 , and G3 of order 7 such that every vertex of each graph has degree 2, 3 or 4, where there is at least one vertex of each of these degrees a
Compute the probability of getting B or better on Part 1 if she got B or better on Part 2? Are the events "getting B or better on Part 1" and "getting B or better on Part 2" independent?
At the certain high school, most students go to one of 7 universities. If 100 students go to such 7 universities some year, determine the smallest possible number of students who could attend the u
Two runners start running laps at same time, from same starting position. george runs a lap in 50 seconds, sue runs a lap in 30 seconds. when will the runners next be side by side?
Ship A leaves port sailing north at the speed of 15 mph. A half hour later, ship B leaves same port sailing east at the speed of 33 mph. Let t (in hours) denote time ship B has been at sea. Determi
If an investor is offered opportunity to invest $500,000 in the new restaurant and he computes the present value of this investment to be $400,000 using his standard discount rate of 15%, the IRR on
Compute the p value for a two sided exact binomial test. Compute the p value of the two sided exact binomial test, using the distance approach and then again with the probability approach.
A random sample of 25 group leaders, supervisors, and similar personnel revealed that, on average, they spent 6.5 years upon the job before being promoted.
The number of defective products produced by a factory is stated by the Poisson disribution. Where the mean number of defective prodcuts produced in the factory in one day is 4. what is the probabi
Each day, Jenny ate 20% of the jellybeans which were in her jar at beginning of that day. At the end of the second day, 32 remained. How many jellybeans were in the jar originally?
Determine the maximum amount of money that can be borrowed given the following terms? Term: 10 years; Annual debt service: $150,000; Interest rate: 10%.
Solve for the ideal interest rate given the following information: Term: 10 years; Loan amount: $1,000,000; Annual debt service: $200,000 and what are the steps to get the answer in excel?
A loan of 10,000 is taken out at 6% interest from a bank to be repaid over 10 years. Instead of paying a bank directly, the lender pays the bank the interest due and establishing a sinking fund at 4
Determine the present value of a 10 year annuity which pays $310 at year 1. $320 at year 2,....,$400 at year 10 (i.e. it increases in value by $10 each year)
Confounding: A cohort study is conducted to assess the relationship between smoking and esophageal cancer.
Determine all the eigenvalues and the corresponding eigenspaces. Find out the geometrical and algebraic multiplicities of the eigenvalues?
Martin purchases a $20,000 8% fifteen-year par-value bond having annual coupons for price to provide 7% annual yield rate if bond is held to maturity. Five years later, just after the receipt of the