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# Problem what is the probability of winning a bingo game with the first full board and the last number being

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irs during primary recovery. This problem explores some aspects of this behavior. Consider the expansion of methane from 300 bars to 50 bars at a constant temperature of 40 C (313 K). Methane obeys the following equation of state V =(RT/P)+C+(D/T) where C = 31 cm3/mol, D = -693cm3K/mole, and R = 83.14bar cm3/mole K. Note that the units of energy are bar-cm3/mole in this problem. Report your answer in bar-cm3/mole (a) What is the change in enthalpy during the expansion (b) What is the change in internal energy? (c) What is the heat removed? (d) How much work does the system do during the expansion?
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thing else. The probability a player makes a free throw in an away game is 50%, independently of everything else. Half of the games are home games. What is the probability that when the player throws two free throws she will make both? Assuming the player makes the first free throw, what is the probability she will make the second? Are the two events independent? Assuming that the player made both free throws, what is the probability it was a home game?
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t you have in stocks besides unlimited supply of water (0% alcoholic content, 0 in cost): Beer ;Alcohol content; Cost per gallon; In stock (gallons) Low; 0.25%; 0.55; 500 Light; 2.50%; 0.65; 500 Heavy; 4.50%; 0.80; 500 Dark; 6.00%; 0.75; 500 What is the mix of existing beer (and water) to make 1500 gallons of 3 percent beer with the minimum cost? 1. Show the mathematical formulation of the optimization problem (decision variables, objective, and constraints) 2. What is the optimal mix of the existing beer (and water) to meet the order requirement? 3. What is the minimum cost incurred? 4. If the optimal mix maintains its pattern, without re-solving the problem, construct the new optimal mix of existing beer (and water) to make 1600 gallons of the 3 percent beer
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reasoning. Response: Possible values for a in this problem would be a-6. Possible values for b can be any number both positive or negative. Is the argument sound or flawed? Explain why you believe it is sound or flawed.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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