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Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals. sketch the solid and the projected regions in each of the xy-, xz- and yz- planes.
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
Hypothesis test for population mean
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
Independent events based probability. A company operates a telephone order system for a catalogue of its outdoor clothing products. The catalogue orders are processed in three stages. In the first stage, the telephone operator enters the order int..
A class has 10 business majors and 15 econ majors. If Five students are chosen at random, what is the probability that three are business major and two are econ majors?
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree
Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
Objective question based on probability distribution.
Trigonometric identities to find length of the guy wire.
A particle starts at the point (-2,0), moves along the x-axis to (2,0), and then along the semicircle y= squareroot(4 - x^2) to the starting point.
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