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let x be a random variable with E(x)=1 and e[x(x-1)]=4. find var(x)



Show that the points (-3,9), (3,5) and (1,2), are the vertices of a right triangle and find its area.

The production manager of a company plans to include 180 sq. cm of actual

printed matter in each page of a book under production. Each page should have 2.5 cm


wide margin along the top and bottom and 2.0 cm wide margin along the sides. What

are the most economical dimensions of each printed page?


if G is the abelian group of integers in the mapping T:G to G given by T(x) = x then prove that as an automorphism


Find the variance and standard deviation of the probability distribution of the random variable X, which can take only the values 1,2, and 3, given that P(1)= 10/33 P(2)=1/3 and P(3) = 22/33

Jenny is planning to deposit ₱17,000.00 Quezon Metropolitan Bank is offering 7.5% compounded semi-annually

for 5 years while Quezon Premier Bank is offering 7% compounded monthly for 5 years. Which bank should she

deposit her money? Justify your answer by computing and comparing the maturity value for each bank.


show that y= c1e^x +c2^2x is the general soloution of ydobledash -3ydash+2y=0


Atmospheric pressure P

 in pounds per square inch is represented by the formula P=14.7e^−0.21x

where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.163

pounds per square inch? Hint: There are 5280 feet in a mile.


Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e^−0.21x, where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.163 pounds per square inch? Hint: There are 5280 feet in a mile.


Wireless sets are manufactured with 25 soldered joints each on the average 1 joint in 500 defective. How many sets can be expected to be free from defective joints in a consignment of 10,000 sets.

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