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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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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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Write a program that reads some integers between 1 to 100 and counts the occurance of each.
The demand function is Q=280000-400p
Where Q equals the number of units demanded and p equals the price in dollars of the total cost of producing Q units of the product is estimated by the function
C=350000+300q+0.0015q2
I) how many units should Q produce in order to maximize its annual profit
Ii) what price should be charged
III) determine the annual profit expected
Solve the following using matrix algebra
2X+Y-Z=5
3X-2Y+2Z=-3
X-3Y-3Z=-2
