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Determine the cumulative distribution function for following:(2 Marks) F(x) 0 x < 0 0.2 x 0 <= x < 4 0.04 x + 0.64 4 <= x < 9 1 9 <= x


Suppose f(x) = 1. 5 𝑥 for -1 < x <1. Determine the mean and variance of X


 What weight of pure Na2CO3 should be taken so that about 25mL of  approximately 0.1M HCl will be used in a standardization titration using methyl    red end point?



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A company uses 100000 units per year which is 30 shillings, carrying costs are 1% per month and ordering cost are 250 per order

I) what is the EOQ

Ii) what is the length of the order cycle

III) what is the cost of having stock annually

iv) what would the EOQ be if the compy make the items themselves on a machine with a potential capacity of 600000 units per year





An empty freight car with a mass of 10,000 kg rolls at 5 m/s along a level track and collides with a loaded car

with a mass of 20,000 kg, standing at rest with breaks released. Friction can be neglected. If the cars couple

together, find their velocities after the collision.


b) Find the decrease in kinetic energy as a result of the collision.

c) With that speed should the loaded car be rolling toward the empty car for both to be brought to rest

collision?


The fixed cost of a company is 35000 and the variable cost per unit is 500 and the revenue function for sale is X units is given by R(x)=5000X-100X2

I) find the profit function

Ii) break even values

III)the values of X which results in a loss


Display the pattren


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Maximize Z=80X1+120X2

Subject to X1+X2<9

20X1+50X2<360

X1>2

X2>3

X1+X2>0


Write a program that reads some integers between 1 to 100 and counts the occurance of each.




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