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- I need help with this problem please! You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your home has 70 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs bulb sinsulation sq ft How much will you save in energy costs per year? $The following table shows the expenses and income for a local college student. Assume that amounts shown for salaries and wages are after taxes and that 1 month = 4 weeks. Income Expenses Part-time Job: $1100/month Rent: $550/month Student Loans: $8400/year Groceries: $50/week Scholarship: $5700/year Tuition and Fees: $7500/year Health Insurance: $40/month Entertainment: $40/week Phone: $65/month a) What is the student's monthly income? b) What is the student's monthly expenses? c) What is the student's net monthly cash flow?ben and harry are friends who both enjoy fishing. One day they begin discussing the quantity of fish in two different lakes that they frequently visit. Based on their experience in fishing in the two lakes, they decide that the two lakes are equivalent in terms of the number of fish. A researcher overhears their conversation and decides to test their conclusion. Using advanced sonar sensing, the researcher counts the actual number of fish in each lake. The researcher finds that one lake has substantially more fish than the other lake does. Assuming that the findings of the researcher reflect the population truth about the two lakes, what type of error did ben and harry make in their judgment – Type I or Type II error? Explain
- PLEASE ANSWER THIS QUESTION WITHIN 30 MINUTES. I WIL UPVOTEA farmer in Georgia has a 200-acre farm on which to plant watermelons and cantaloupes. Every acre planted with watermelons requires 50 gallons of water per day. Each acre planted with watermelons must also be prepared for planting with 20 pounds of fertilizer. Every acre planted with cantaloupes requires 75 gallons of water per day. Each acre planted with cantaloupes must also be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours of labor to harvest each acre planted with watermelons and 2.5 hours to harvest each acre planted with cantaloupes. He believes that watermelons will sell for about $3 each, and cantaloupes will sell for about $1 each. Every acre planted with watermelons is expected to yield 90 salable units. Every acre planted with cantaloupes is expected to yield 300 salable units. The farmer can pump about 14,000 gallons of water per day for irrigation purposes from a shallow well. He can buy as much fertilizer as he needs at…I don't know how to accurately answer this question. I have followed the steps and have gotten 3 different answers each time. I am not sure which step I am missing or messing up on. I don't know if I am using the wrong formula but I would appreciate as much help as possible by guiding me through each step. Thank you so much.
- Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192 a) Perform a regression analysis with x4 as the response variable. Use x1, x2, and x3 as explanatory variables. Look at the coefficient of…Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192 Since Professor Gill has not changed the course much from last semester to the present semester, the preceding data should be useful for…It’s that time of year again when Grandma Kim is having a fundraiser for the church. Everyone is bringing something to sell and I am bringing brownies, cookies, and muffins. Each brownie contains 2 teaspoons of milk, 2 ounces of flour and 4 ounces of sugar. Each cookie contains 1.5 teaspoons of milk, 1 ounce of flour, and 3 ounces of sugar. Each muffin contains 1 teaspoon of milk, 2 ounces of flour, and 1.25 ounces of sugar. Currently, I have 48 teaspoons of milk, 81 ounces of flour, and 80 ounces of sugar. Then, each brownie is on sell for $5.00, each cookie is on sell for $3.00 and each muffin is on sell for $2.50. What is the maximum profit that will be made for the fundraiser? To find the solution pivot.
- Juan Hernandez, a Cuban athlete who visits the Unite States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffle bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each items are as follows. Items Weight (lb) Profit ($)1. Denim jeans 2 902. CD players 3 1503. Compact discs 2 30 Juan wants to determine the combination of items he should pack in his duffel bag that will maximize his profit. The problem is an example of a type of integer programming known as a "knapsack" problem. Formulate and solve this problem.Assume that each gallon of Deluxe Vanilla uses 2 quarts of milk, 2 quarts of cream, and 3 ounces of vanilla; each gallon of Regular Vanilla uses 3 quarts of milk, 1 quart(s) of cream, and 1 ounces of vanilla; and each gallon of Deluxe Chocolate uses 2.75 quarts of milk, 1.25 quarts of cream, and 5 ounces of cacao. Assume also that the shop has on hand 115 gallons of milk, 77 gallons of cream, 19 pounds of vanilla, and 25 pounds of cacao. How many gallons of each type of ice cream should the shop make to use up all of these ingredients? When you setup a system of linear equations to solve this problem, how many variables and how many equations should you have.?Number of variables: Number of equations:Hi. Would anyone be so helpful and answer this question with an explanation on how to get to the answer? Thanks much. I've included a picture of the problem. I hope it suffices. Thanks
