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A bag contains 8 blue and 7 yellow balls. Two balls are drawn in succession without replacement. Find the probability that both the balls are of yellow color.

Solve the exact differential equation = ( x - 2ey ) dy + y + ( xsin(x) ) dx = 0


Solve the differential equation = x dy / dx + 2y = x4

( x - 2ey ) dy + y + ( xsin(x) ) dx=0


If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on,”, ”If the sailing race is held, then the trophy will be awarded,” and ”The trophy was not awarded” imply the conclusion ”It rained.”




Ask someone borrowing from a five-six ( Bumbay) money lender. How much w be charged if you want to loan P5,000.00, payable in one year? Determine the interest rate per period and the annual interest rate. Is it a good loan term? Whi or why not?




Submit on a long bond paper an essay containing your answer on the questions above. You should note that the computation must be included in the front pag of your paper. Then essay must consist of at least 5 sentences and a maximum of 10 sentences on why you must chose your answer. Justify your answer with the computations you had and your own personal reasons.



mom, dad and Peter share 138 jelly tots in the ratio 1:2:3 how many jelly tots will mom get?.




4. The probabilities that a printer produces 0, 1, 2, and 3 misprints are 42%, 28%, 18%, and 12%, respectively. Construct the probability Mass function and then compute the mean value of the random variable.





show that the equation of the tangent to x2+xy+y=0 at the point(x1,y1) is

(2x1+y1)x+(x1+1) y+y1 =0


A box with a square base and an open top is to have volume 62.5 m3. Neglect the thickness of the material used to make the box and find the dimension that will minimize the amount of material used.


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