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A boy lives at X and wants to go to school at Z. From his home to X he has to first reach Y



and then Y to Z. He may go X to Y by either 3 bus routes or 2 train routes. From there, he can



either choose 4 bus routes or 5 train routes to reach Z. How many ways are there to go from X to



Z?

Suppose there are 19 Math majors, 17 English majors, and no double majors. How many ways



are there to choose someone who is either a Math major or a English major?

Explain how the fundamental economic problem is addressed in a planned economy and in a





market economy

The thin-walled single cell beam shown in Figure has been idealized into a combination of


direct stress carrying booms and shear stress only carrying walls. If the section supports a vertical


shear load of 10 kN acting in a vertical plane through booms 3 and 6, calculate the distribution of


direct stress around the section.

The following pH data were collected in the analysis of water from an upstate New York lake as part of an acid rain study: 4.17, 4.20, 4.19, 4.23, 4.22, 4.14, 4.20, and 4.15. Calculate the following.



(a) mean


(b) median


(c) percent average deviation


(d) percent standard deviation

Find Binomial Coefficient for 7C5 using dynamic programming approach. Also explain the relevant complexity. 


Provide the answers to the following items. (5 items x 3 points)


1.      Given A = {2, 4, 6, 8} and B = {3, 4, 5, 6}, determine:

a)      A U B

b)     A ∩ B

2.      Given A = {3, 5, 7, 9} and B = {4, 5, 6, 7}, determine:

a)      A - B

b)     B - A

c)      A ∩ B


If a farmer is chosen randomly from this community, what is the probability that he grows neither oranges nor lemon





describe how chlorine gas is produced in electrolysis


Steam at a temperature of 623 K is flowing through a pipe with an outer diameter of 100 mm. The pipe is insulated with 20-mm thick mineral wool, the average thermal conductivity of which is 0.055 W/m.K. Determine the outside surface temperature of mineral wool if the ambient air temperature is 300 K. Assume the hot-surface temperature of the mineral wool is the same as that of the flowing steam and the value of the surface coefficient of the insulating material is 30 W/m2.K.


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