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Question: 1. Consider the set W of all words in the English alphabet (sensical or otherwise). What is |W|?
2. Consider the set L of all lines in the plane that pass through the origin. Is L countable or uncountable, and why?
3. Is the set of all finite graphs countable or uncountable?
Suppose that G is a directed graph with no circuits. Describe how depth-first search can be used to carry out a topological sort of the vertices of G.
If 100 bacteria are used to begin a new colony, how many bacteria will be in the colony in 10 hours?
Find the magnitude and direction of velocity att= 3 sec. Distance is measured in meters. Round your answers to one decimal place and don't forget to use the degree symbol.
How tall is a building that casts a 71 ft shadow when the angle of elevation of the sun34°?
find the amount by which the utility company will have to increase its generating capacity in order to meet the needs of the area at the end of the decade. (Round your answer to two decimal places.)
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
the ball you draw is numbered m. What is the maximum likelihood estimate of n. Is the estimate biased (you have to research and find out the formal definition of the term biased. Prove your answer.
calculus techniques to establish the first and second derivatives of the following functions and to graph the functions below by indicating
A package of frozen strawberries has been taken from the freezer which is at -25 oFahrenheit. Give a formula that gives the temperature of the berries in terms of time. When will the berries reach 32 degrees?
A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?
Given 2 variable of initial value of Pint*Vint obtain final value of Pfinal*Vfinal after undergo an infinitesimal changes.
Calculate a 95% Confidence Interval for the following samples: =450, N=200, σ=100 =105, N=50, σ=15 = 19, N = 17, s = 5 = 8, N = 40, s = 1.6 = 8.35, N = 30, s = 1.59 Calculate a 99% Confidence Interval for the following samples: =525, N=110, σ=100 =30..
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