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# Use the numbers to create an equation that has a value of five

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ou’ll be using the same 4 numbers written in the same order. The only thing that will change in each expression will be the tools you’ll use from your toolbox. The tools that you’ve learned so far for order of operations are parentheses, exponents, multiplying, dividing, adding, and subtracting. Here are the four numbers. Keep them in this order: 18 2 4 3 Here are the tools in your toolbox: The 2 and 3 represent exponents, so you are allowed to square or cube a number. Listed below are the values you need to create. 21 = 67 = -6 = 103 =
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eople experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 14 people, based on means and standard deviations given in the article. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than 20 pounds. Use the =α0.10 level of significance and the critical value method. 22.5 28.5 7.6 24.1 21.5 12.9 17.3 21.2 37.6 33.8 12.1 36.3 24.1 19.4
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de by credit card; you think this is true at your store as well. On a typical day you make 20 sales. Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment. Define the random variable x in this scenario, using the context of the problem. List all possible values of x for this situation. On one trial for this scenario, what does “success” mean? Explain using the words of the problem. What is the probability of success in this scenario? What is the probability of failure in this scenario? Probability Distribution Instructions¬¬¬¬ In Excel, create a probability distribution for this scenario. Label Column A as “x” and Column B as “P(x).” In Column A, list the numbers 0 to 15. In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value. Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places. Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.
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uminum and steel. The company has available 38 comma 160 units of steel and 48 comma 380 units of aluminum. The​ 1-, 3-, and​ 10-speed models​ need, respectively, 8​, 12 and 16 units of steel and 15​, 10​, and 20 units of aluminum. The company makes ​\$4 per​ 1-speed bike, ​\$6 per​ 3-speed, and ​\$16 per​ 10-speed. Use the simplex method to complete parts​ (a) and​ (b). ​(a) How many of each type of bicycle should be made in order to maximize​ profit? What is the maximum​ profit? Set up the linear programming problem. Let x 1​, x 2​, and x 3 represent the numbers of​ 1-, 3-, and​ 10-speed bicycles,​ respectively, and let z be the total profit. ▼ Minimize Maximize zequals nothing subject to 8 x 1 plus 12 x 2 plus 16 x 3 ▼ greater than less than or equals greater than or equals less than nothing 15 x 1 plus 10 x 2 plus 20 x 3 ▼ greater than less than or equals less than greater than or equals nothing x 1greater than or equals​0, x 2greater than or equals​0, x 3greater than or equals0. ​(Do not factor. Do not include the​ \$ symbol in your​ answers.) Set up the initial simplex tableau and use the Simplex Method to solve. The maximum profit is ​\$ nothing. To get that​ profit, the company should make nothing ​1-speed bicycle(s), nothing ​3-speed bicycle(s), and nothing ​10-speed bicycle(s). ​(Type whole​ numbers.) ​(b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice. A. When the profit is​ maximized, all of the steel is used but nothing units of aluminum remain unused. ​(Type a whole​ number.) B. When the profit is​ maximized, some of each material remains unused.​ Specifically, nothing units of aluminum and nothing units of steel remain unused. ​(Type whole​ numbers.) C. When the profit is​ maximized, all of the available aluminum and steel is used. D. When the profit is​ maximized, all of the aluminum is used but nothing units of steel remain unused. ​(Type a whole​ number.)
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