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Remarks: In all the algorithms, always explain precisely your solution or prove if required. You Always Must analyze the running time of any algorithm. The time complexity should be as small as possible. A correct algorithm with large complexity, may not get full credit. Don't write programs for your solutions. Question 1: Consider the following LP Minimize $50 \cdot x + 15 \cdot y$ Subject to: $2x + y \leq 100$ $x + y \leq 80$ $x \geq 0$ $y \geq 0$ 1. Plot the feasible region 2. Find the basic feasible solutions (the corners) 3. Find the optimum

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A project that costs $21,000 today will generate cash flows of $7,300 per year for seven years. What is the project's payback period? Multiple Choice 2.30 years 2.88 years .35 years 3.00 years 2.40 years

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Which of the following is true regarding communications? We do not have the emotional capacity to be empathetic with every human being during every interaction. We have to be able to push through the perceived limits of ourselves and our capacity to show empathy. You can always be empathetic if you focus appropriately There are no situations when failing to show empathy to someone will have a truly negative consequence.

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Consider the Quadratic function $f(x) = 2x^2 - 11x - 21$. Its vertex is ( its largest $x$-intercept is $x = its $y$-intercept is $y = Submit Question )

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(in meters) 275 353.6 649.4 121.8 837.9 699.2 Send data to calculator Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select \"Compute\". (In the table below, $n$ is the sample size and the symbol $\sum xy$ means the sum of the values $xy$.) n: 6 x: 13.666 y: 33.016 $s_x$: 4.546 $s_y$: 10.695 $\sum xy$: 2936.9 Compute Sample correlation coefficient ($r$): 0.945 Slope ($b_1$): 2.22 y-intercept ($b_0$): 2.63 (b) Write the equation of the least-squares regression line for your data. Then on the scatter plot for your data, graph this regression equation by plotting two points and then drawing the line through them. Round each coordinate to three decimal places. Regression equation: $y = 2.63 + 2.22$ (c) Use your regression equation to predict the height of an eruption if it has been 14 hours since the last eruption. Round your answer to one decimal place. Predicted height: 33.7 meters

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The CPI is an index of prices of all consumer goods and services.True False Correction: The CPI is an index of prices of all consumer goods and services. True False Explanation: The statement is correct, but the formatting of the True/False question is inconsistent. It should be formatted as "True False" with a space between the options.

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Among 12 laptop computers, 8 are good and 4 have defects. Unaware of this, a customer buys 3 laptops. Let X be the number of defective laptops among these 3. Answer the following questions. YOU DO NOT HAVE TO SIMPLIFY YOUR FINAL ANSWER. (a) What is the probability that none of these laptops is defective, i.e. P(X=0)? Your answer for part (a): (b) What is the probability that exactly 2 of these laptops are defective, i.e. P(X=2)? Your answer for part (b):

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Jethro Anderson, CEO of Top Gun Manufacturers, Inc., believes in responsiveness to cultural rules and labels of good and bad, right or wrong, but he interprets these labels either in terms of the physical or the hedonistic consequences of action. Furthermore, he defined 'right' as freedom to serve one’s own interests and desires and as letting others do likewise. In which of Kohlberg's levels of moral development would you place Anderson? A. Level 1 - Preconventional B. Level 2 - Conventional C. Level 3 - Postconventional D. Level 4 - Principled

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5. (10 pts) Label the hybridization and geometry of the indicated atoms on ethynyl estradiol (shown below): HO H $\equiv$ H OH

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A dataset contains three columns of data: Year, Month, and Sales Dollars. The Year column contains two years of data. A PivotChart will be created using the column chart type. The chart will show the sales dollars for each month. For each month, there will be two bars to represent each year of sales dollars. To create this chart, the Sales Dollars field must be dragged into which of the following areas? • VALUES O LEGEND O ROWS O FILTER AXIS

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