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Explanation & Answer
Surface area of sphere is given by = 4 pi r^2
Here, pi = 3.14
r = 8.9/2 = 4.45
Hence, total surface area = 248.72 m^2
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MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Prof ...
MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Professors often will clarify their expectations regarding the format and presentation of your submission. The Range Rule of Thumb is based on the insight that the range is often approximately 4 times as large as the standard deviation. This insight enables you to quickly estimate the standard deviation of a data set by finding the maximum and minimum data values, using them to compute the range, and then dividing this value by 4. Each of the following 5 data sets has a mean close to 100, and a standard deviation in the 20s. Assume that each of these are sample data sets. For each of the 5 data sets given below, use the Excel function “=stdev.s” (or technology) to find the actual sample standard deviation (10 points), compute the estimate given by the Range Rule of Thumb (RROT) Estimate (10 points), and compute the percentage error of the estimate (10 points). The formula for the RROT estimate is RROT estimate = Range/4 (where the range = maximum value – minimum value), on the assumption that the Standard Deviation » RROT estimate. The formula used to find the percentage error of the estimate is: Summarize what you learned: % Error = | RROT Estimate – Standard deviation | / Standard Deviation × 100 = ____ % . Data Set 1: No outliersData Set 2: 1 outlierData Set 3: 2 outliersData Set 4: Normal (Bell-Shaped) DistributionData Set 5: Uniform Distribution (evenly-spaced values) 68 68 68 68 68 133 133 133 133 133 Actual Standard deviation = RROT Estimate = % Error = 68 81 81 81 81 82 82 82 82 160 Actual Standard deviation = RROT Estimate = % Error = 38 86 88 89 90 90 91 92 104 152 Actual Standard deviation = RROT Estimate = % Error = 51 67 74 81 87 93 99 106 115 128 Actual Standard deviation = RROT Estimate = % Error = 65 73 81 89 97 105 113 121 129 137 Actual Standard deviation = RROT Estimate = % Error = a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation? (3 points) b) What is the largest percentage error? (3 points) c) Each of the data sets given above is artificially contrived. If you were to apply the RROT estimate to a typical real-world data set, about how accurate would you expect it to be (your answer here should be a numerical estimate of the percentage error, based on your previous results)? (4 points)
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1. The Area of a rectangle is represented by and its length is represented by .What is the width of the rectangle?If you ...
Rational Expressions Unit Project
1. The Area of a rectangle is represented by and its length is represented by .What is the width of the rectangle?If you double the length of the rectangle but keep the same width, what is the new area of the rectangle?2. Consider the following expression:Subtract the rational expressionsGiven the equation , solve the equation using your solution from part a.Solve the equation using LCD.Compare the methods used to solve the equation in parts c and d. Which method do you think is better and why?3. The average cost of electricity used for an 18 cubic ft. refrigerator that is 10 years old is $128 per year. A new refrigerator the same size costs about $81 per year for electricity. (Source: https://www.efficiencyvermont.com)Suppose a new refrigerator costs $500. Determine the total cost of having either refrigerator for 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Determine the total annual cost for a new refrigerator that lasts 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Write a function that gives the annual cost of a new refrigerator as a function of the number of years you own the refrigerator.What are the asymptotes of the rational function in part d? What does the horizontal asymptote mean in the context of this problem?Sketch the graph of the rational function from part c.If you plan on owning your refrigerator for 12 years, would it be more cost effective to keep your old refrigerator or purchase a new one? Explain.
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I need 5 initial discussion post for math class. I have attached a docuiment to show what each week's topic is.
University of Phoenix Week 1 Independent Variable and Mapping Digital Discussion
I need 5 initial discussion post for math class. I have attached a docuiment to show what each week's topic is.
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I've attached the test, answer sheet, and the first two questions of the test seperately. First two questions got cut off ...
MATH 107 University of Maryland College Algebra Math Final Exam
I've attached the test, answer sheet, and the first two questions of the test seperately. First two questions got cut off for some reason. If you need anything else please let me know.
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I attached all topics covered in this exam as well as the exam. if there is any questions please let me know
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I attached all topics covered in this exam as well as the exam. if there is any questions please let me know
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For this Critical Thinking Assignment, you will be creating your own real-world scenario and exploring the meaning of diff ...
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For this Critical Thinking Assignment, you will be creating your own real-world scenario and exploring the meaning of differentiation of exponential functions in that context. Complete the following steps:Select a real-world scenario that can be modeled by an exponential function and define the function F(x) based on your scenario. (Ex.: Suppose that F(x) computes the rabbit population on a game reserve that doubles every 6 months. Suppose there were 120 rabbits initially.)Write a mathematical expression for F(x).Find the domain and range of F(x).Find F(x) and F '(x) at any point.Find all x values for which F '(x) = 0.Based on your work in Part I, discuss the following:Discuss if your function F(x) is differentiable and why. If it is not differentiable, select another function that is and discuss the change you made.Discuss the domain and range of F(x) and why they make sense in the context of your problem.Discuss the physical meaning of F(x) and F '(x) at a point in the context of your problem.Discuss what it means for F '(x) = 0 in the context of your problem.Reflect on any adjustments you had to make to your original problem context and discuss what characteristics of a real-world context make it a valid choice for applying differentiation concepts to it.Provide at least two other real-world situations where differentiation can be applied and respond to the following:What common characteristics do the real-world scenarios you chose share?What did you look for in the way that the real-world scenario can be modeled?Discuss the criteria for selecting a real-world scenario that would change if you were seeking to model it with a logarithmic function instead. What key similarities and differences would you find?
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MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Prof ...
MATH 114 Liberty University Standard Deviation Project Excel Sheet
Project 1 Instructions Please also pay close attention to any additional specifications provided by your professor. Professors often will clarify their expectations regarding the format and presentation of your submission. The Range Rule of Thumb is based on the insight that the range is often approximately 4 times as large as the standard deviation. This insight enables you to quickly estimate the standard deviation of a data set by finding the maximum and minimum data values, using them to compute the range, and then dividing this value by 4. Each of the following 5 data sets has a mean close to 100, and a standard deviation in the 20s. Assume that each of these are sample data sets. For each of the 5 data sets given below, use the Excel function “=stdev.s” (or technology) to find the actual sample standard deviation (10 points), compute the estimate given by the Range Rule of Thumb (RROT) Estimate (10 points), and compute the percentage error of the estimate (10 points). The formula for the RROT estimate is RROT estimate = Range/4 (where the range = maximum value – minimum value), on the assumption that the Standard Deviation » RROT estimate. The formula used to find the percentage error of the estimate is: Summarize what you learned: % Error = | RROT Estimate – Standard deviation | / Standard Deviation × 100 = ____ % . Data Set 1: No outliersData Set 2: 1 outlierData Set 3: 2 outliersData Set 4: Normal (Bell-Shaped) DistributionData Set 5: Uniform Distribution (evenly-spaced values) 68 68 68 68 68 133 133 133 133 133 Actual Standard deviation = RROT Estimate = % Error = 68 81 81 81 81 82 82 82 82 160 Actual Standard deviation = RROT Estimate = % Error = 38 86 88 89 90 90 91 92 104 152 Actual Standard deviation = RROT Estimate = % Error = 51 67 74 81 87 93 99 106 115 128 Actual Standard deviation = RROT Estimate = % Error = 65 73 81 89 97 105 113 121 129 137 Actual Standard deviation = RROT Estimate = % Error = a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation? (3 points) b) What is the largest percentage error? (3 points) c) Each of the data sets given above is artificially contrived. If you were to apply the RROT estimate to a typical real-world data set, about how accurate would you expect it to be (your answer here should be a numerical estimate of the percentage error, based on your previous results)? (4 points)
Rational Expressions Unit Project
1. The Area of a rectangle is represented by and its length is represented by .What is the width of the rectangle?If you ...
Rational Expressions Unit Project
1. The Area of a rectangle is represented by and its length is represented by .What is the width of the rectangle?If you double the length of the rectangle but keep the same width, what is the new area of the rectangle?2. Consider the following expression:Subtract the rational expressionsGiven the equation , solve the equation using your solution from part a.Solve the equation using LCD.Compare the methods used to solve the equation in parts c and d. Which method do you think is better and why?3. The average cost of electricity used for an 18 cubic ft. refrigerator that is 10 years old is $128 per year. A new refrigerator the same size costs about $81 per year for electricity. (Source: https://www.efficiencyvermont.com)Suppose a new refrigerator costs $500. Determine the total cost of having either refrigerator for 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Determine the total annual cost for a new refrigerator that lasts 12 years, assuming the only costs associated with the refrigerator are its purchase cost and electricity.Write a function that gives the annual cost of a new refrigerator as a function of the number of years you own the refrigerator.What are the asymptotes of the rational function in part d? What does the horizontal asymptote mean in the context of this problem?Sketch the graph of the rational function from part c.If you plan on owning your refrigerator for 12 years, would it be more cost effective to keep your old refrigerator or purchase a new one? Explain.
University of Phoenix Week 1 Independent Variable and Mapping Digital Discussion
I need 5 initial discussion post for math class. I have attached a docuiment to show what each week's topic is.
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I need 5 initial discussion post for math class. I have attached a docuiment to show what each week's topic is.
MATH 107 University of Maryland College Algebra Math Final Exam
I've attached the test, answer sheet, and the first two questions of the test seperately. First two questions got cut off ...
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I've attached the test, answer sheet, and the first two questions of the test seperately. First two questions got cut off for some reason. If you need anything else please let me know.
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I attached all topics covered in this exam as well as the exam. if there is any questions please let me know
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Calculus Differentiability Discussion Questions
For this Critical Thinking Assignment, you will be creating your own real-world scenario and exploring the meaning of diff ...
Calculus Differentiability Discussion Questions
For this Critical Thinking Assignment, you will be creating your own real-world scenario and exploring the meaning of differentiation of exponential functions in that context. Complete the following steps:Select a real-world scenario that can be modeled by an exponential function and define the function F(x) based on your scenario. (Ex.: Suppose that F(x) computes the rabbit population on a game reserve that doubles every 6 months. Suppose there were 120 rabbits initially.)Write a mathematical expression for F(x).Find the domain and range of F(x).Find F(x) and F '(x) at any point.Find all x values for which F '(x) = 0.Based on your work in Part I, discuss the following:Discuss if your function F(x) is differentiable and why. If it is not differentiable, select another function that is and discuss the change you made.Discuss the domain and range of F(x) and why they make sense in the context of your problem.Discuss the physical meaning of F(x) and F '(x) at a point in the context of your problem.Discuss what it means for F '(x) = 0 in the context of your problem.Reflect on any adjustments you had to make to your original problem context and discuss what characteristics of a real-world context make it a valid choice for applying differentiation concepts to it.Provide at least two other real-world situations where differentiation can be applied and respond to the following:What common characteristics do the real-world scenarios you chose share?What did you look for in the way that the real-world scenario can be modeled?Discuss the criteria for selecting a real-world scenario that would change if you were seeking to model it with a logarithmic function instead. What key similarities and differences would you find?
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