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Reality of ATM Machine #shorts...

Reality of ATM Machine #shorts

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A desiccator of internal volume one litre containing N_(2) at 1 atm is partially evacuated to final pressure of 78mm of Hg while T remains constant What is the volume of gas at this stage ? (b) A lungful of air (3.55 cm^(3)) is exhaled into a machine that measures lung capcity if the air is exhaled from lungs at a pressure of 1.08 atm at 37^(@)C but the machine is a ambient conditions of 0.958 atm and 23^(@)C what is the volume of air measured by the machine ? .

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There are 5 machines. Probability of a machine being faulted is 1/4 . Probability of atmost two machines is faulted, is (3/4)^3 k , then value of k is

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A furniture form manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of one chair requires 2 hours on machine A, 1 hour on machine B, and 1 hour on machine C. Each table requires 1 hour each on machines A and B and 3 hours on machine C. Profit realized by selling one chair is Rs. 30 while for a table the figure is Rs. 60. The total time available per week on machine A is 70 hours, on machine B is 40 hours, and on machine C is 90 hours. How many chairs and table should be made per week so as to maximize profit? Develop a mathematical formulation.