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Draw a Venn diagram to represent each of the following:
(a) AUB
(b) (AUB)
(c) An (BUC)
(d) (ANB) UC
(e) AnBnC
Let A = {x € N: 3 ≤ x ≤ 13}, B = {x € N : x is even}, and C = {x EN: x is odd}.
(a) Find An B.
(b) Find A UB.
(c) Find Bn C..
(d) Find BUC.
Three rotating masses, A= 14 kg, B =11 kg and C =21 kg are attached to a shaft
with center of gravity 275 mm, 400 mm and 150 mm from the shaft axis. The
angular position of B and C are 60° and 135º measured in the same direction
from A. The distance between plane AB is 1.35 m, AC is 3.6 m and plane B is
between AC. Two balance masses are to be fitted between plane A B and BC
and the center of gravity of each mass is 225mm from the shaft axis.
calculate the magnitude of balance masses
.
[H3O+]=2.3 x 10-9 M
The lifetime of bulbs produced by Tariqs lightening company follows a normal distribution with a mean of 3462 hours and a standard deviation 1070 hours. What is the probability that randomly selected bulb will have a lifetime of at most 2800?
A merchant plans to sell two types of personal computers – a desktop model and a portable model that will cost Birr 25000 and Birr 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Birr 70 lakhs and if his profit on the desktop model is Birr 4500 and on portable model is Birr 5000. (Find optimal Solution by simplex Model)
Battery A 12.6 volts with an internal resistance of 0.2 ohm and battery B 12.2 volts with an internal resistance of 0.3 ohm are delivering a current through the load RL=10 ohms. Find the voltage across the load.
Three resistor are connected in parallel across 100-volt supply. One resistor absorb 1600 watts and the second 1200 watts. The total energy used by the whole circuit in 10 minutes is 276x10^4 joules. Find resistance of the third resistor.
A certain class of lamp takes 0.45A at 220V. How many such lamp can be run for an expenditure of power equal to 1 1/3 horsepower?
Which of the following descriptions of an object is not equivalent to the others?
A.the object is at rest
B.The forces on the object are balanced
C. The velocity of the object is constant
D. The acceleration of the object is 0
#339914 on Dec 2023