Numerade

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9. The number of failures for a cytogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.01 per 100 samples. a) If the lab usually processes 500 samples per day, what is the probability that the machine will experience one failure in a day during a study? b) What is the probability that the machine will not fail during a study that includes 1,000 participants? (Assume one sample per participant) 10. Changes in airport procedures require considerable planning. Arrival rates of aircraft are Important factors that must be taken into account. Suppose small aircraft arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. a) What is the probability that exactly 4 small aircraft arrive during a 1-hour period? b) What is the probability that at least 4 arrive during a 1-hour period. c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft arrive during a working day?

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At very high pressures, the volume of a real gas is larger than that predicted by the ideal gas law because real molecules occupy space, which the ideal gas law neglects. At what pressure would the Van der Waals equation of state result in a volume that was 1% larger than that predicted by the ideal gas law for 1 mol of water vapor at a temperature of 0°C? Assume $a = 0.546 \text{ Pa } \cdot \text{m}^6/\text{mol}^2$ and $b = 3.05 \times 10^{-3} \text{ m}^3/\text{mol}$.

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A meta-analysis examined whether transformational leadership explained employee performance over and above the effects of transactional leadership. The research finds that transformational leadership did not predict organizational citizenship behavior transactional and transformational leadership are similar in predicting organizational citizenship behavior transformational leadership is a stronger predictor of organizational citizenship behavior than transactional leadership transactional leadership is a stronger predictor of organizational citizenship behavior than transformational leadership

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15 kN/m B One end of a T-beam of uniform cross-section is embedded in a rigid wall and loaded by a distributed load as shown. (a) Construct, and properly label the shear force and moment diagrams for the loaded beam. (b) Determine the area moment of inertia of the T- section. (c) Determine the stress state at a point P on the cross- section, which is located 1.0 m from end B. (d) Using Mohr's circle, determine the principle stresses and the maximum shear stress, as well as their orientations at point P.

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1B. The allocating device supplies aluminum valve blanks to a machining station. By operating a push button, the piston rod of the single acting cylinder is made to advance. After releasing the actuating button, the piston rod returns. Design a pure pneumatic circuit. Refer figure Q1B.

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Three connected cylindrical pieces are connected and undergo different axial loads shown. The allowable axial stresses in pieces 1,2, and 3 are 120 MPa, 75 MPa, and 95 MPa, respectively. Find the required diameters for each of the cylindrical pieces.

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Which of the following best describes an employer's financial reporting responsibility with respect to an Employee Benefit Plan? The employer can consolidate the plan into its own financial statements, but may elect to report the plan as a separate entity with its own financial reports The employer includes information about the plan in its financial reports, but is obligated to provide a separate statement of cash flows for the plan itself ? The employer must prepare a complete and separate set of financial statements for the plan itself The employer is not obligated to report the plan as a separate entity

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10. Titration of a 10.0 mL solution of NaOH requires 15.0 mL of 0.05 M $H_2SO_4$ solution. What is the molarity of the NaOH solution? (HINT: Write and balance the equation first!) $NaOH + H_2SO_4 \rightarrow Na_2SO_4 + H_2O$ ask

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Write a C++ statement that declares a variable of character type. Write another statement that assigns ‘$’ to the variable.

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16. Marginal product is defined as: A. The productivity of acquiring an additional unit of capital. B. The productivity of hiring an additional worker. C. The cost of producing an additional unit of output. D. Marginal product of labor multiplied by marginal revenue of output. E. The increase in technology. 17. Which of the following example is not a part of robustness check? A. Different variables were used and results are consistent. B. Different hypothesis was formulated and results are consistent. C. Different testing method was applied and results are consistent. D. Different sample size was selected and results are consistent. E. Different sets of data were used and results are consistent. 18. The quote by Carl Sagan: "Absence of evidence is not evidence of absence." This quote implies that: A. If we cannot find evidence that there is discrimination, then discrimination doesn't exist. B. If we cannot find evidence that discrimination in sports exist, doesn't mean that discrimination doesn't exist. C. If we find evidence of discrimination, then discrimination exist. D. If we find evidence of discrimination, then it is still possible that discrimination doesn't exist. E. If we cannot find evidence that there is discrimination, then discrimination exist.

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