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Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (There should be and easily identifiable primary and secondary equations)
Estimation : Binomial Distribution Suppose T is a random variable such that
Calculate the free end deflection caused by the load using general expression for the internal Elastic Strain Energy.
The Chi square test
Solving probability problems based on normal distribution
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale
Find the gradient and the intercept of the following linear equation.
Given the adjacency relation p = {(1,4), (1,5) (1,6), (6,2), (6,3), (6,5)} on the set N ={1,2,3,4,5,6}, find the corresponding directed graph and adjacency matrix.
Probability and combination based questions. A golf ball is selected at random from a golf bag. If the golf bag contains 9 Titleist's, 8 Maxflis, and 3 Top Flites, find the probability of each event.
The solution to Queuing Analysis. The Bay City Police Department has eight patrol cars that are on constant call 24 hours a day. A patrol car requires repairs every 20 days, on average, according to an exponential distribution
A bacteria culture starts with 7 bacteria which multiply simultaneously every three house. If the first generation is born fromt he initial group at 12 midnight
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