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2 dollars had been invested on july 4th,1776 at 4%interest compounded annually what would the final amount be on july 4th 2014
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A straight road rises at an inclination of 0.3 radian from the horizontal
Answer the following questions in a Word document and upload the document to the appropriate drop box.1) A straight road r ...
A straight road rises at an inclination of 0.3 radian from the horizontal
Answer the following questions in a Word document and upload the document to the appropriate drop box.1) A straight road rises at an inclination of 0.3 radian from the horizontal. Find the slope and change in elevation over a one-mile section of the road. 2) In order to allow rain to run off of a road, they are often designed with parabolic surfaces in mind. Suppose a road is 32 feet wide and 0.4 foot higher in the center than it is on the sidea) Write an equation of the parabola with its vertex at the origin that models the road surface. b) How far from the center of the road is the road surface 0.2 feet lower than the center?3. A parabolic archway is 12 meters high at the vertex. At a height of 10 meters, the width of the archway is 8 meters. How wide is the archway at ground level? 4) Halley’s comet follows an elliptical orbit with the sun as one of the foci. The eccentricity of the orbit is approximately 0.967. The length of the major axis of the orbit is approximately 35.88 astronomical units. (An astronomical unit is about 93 million miles. (a) Find an equation of the orbit. Let the origin represent the sun and use the x axis as the major axis. (b) Find the greatest and least distances (the aphelion and perihelion, respectively) from the sun’s center to the comet’s center.5) You and a friend live 4 miles apart. You hear the sound of thunder 18 seconds before your friend hears it. Assuming sound travels at 1100 feet per second, determine where the lightning occur?
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)
MA215 Grantham Week 7 ROI Data Coefficient of Determination Project
Project Week 7For these project assignments throughout the course you will need to reference the data in the ROI Excel spr ...
MA215 Grantham Week 7 ROI Data Coefficient of Determination Project
Project Week 7For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadsheet. Download it here.
Using the ROI data set:For each of the two majors:Create a scatter diagram of Y = ‘Annual % ROI’ against X = ‘Cost’. Include the trendline, the equation of the trendline, and the coefficient of determination on the graph.Obtain b0 and b1 of the regression equation defined as y ̂ = b0 + b1X. Hint from Dr. Klotz: You can get this right from the trendline.Calculate the estimated ‘Annual % ROI’ when the ‘Cost’ (X) is $160,000.Conduct a full hypothesis test: You will be in charge. Set your own significance level. The hypotheses are given.H0: β1 = 0Ha: β1 ≠ 0Hint: Remember that a full hypothesis test is more than running the data analysis program. What were the steps from last week's discussion?In a highlighted box, discuss your final conclusion from this hypothesis test. For each major, is Annual % ROI related to Cost for business? For engineering? If so, describe the relationship in words. How does the outcome of this hypothesis test related to the central question of which ROI is better?
ASALLC Concrete Foundation for a Residential Building Project Worksheet
Refer to Sheets1, 2, 3, and 5 from the Marseille residential building plans in the Large Prints supplement to answer the
...
ASALLC Concrete Foundation for a Residential Building Project Worksheet
Refer to Sheets1, 2, 3, and 5 from the Marseille residential building plans in the Large Prints supplement to answer the
following questions. Complete Activity 10-2 complete the questions and fill in the answers on the form and save as a pdf
Business Statistics and Quantitative Analysis - Checking for Quality
Scenario: A venture capitalist has just given you several million dollars to develop your dream product! Explain in detail ...
Business Statistics and Quantitative Analysis - Checking for Quality
Scenario: A venture capitalist has just given you several million dollars to develop your dream product! Explain in detail what this product is and why people would buy it. (Think Steve Jobs and the iPhone - did people really think we needed “smartphones” back in 2007?)Main Post: Now your dream product has gone into production and the manager is asking you, as the statistical expert, to use statistical methods to ensure quality control.1. You will generate a random dataset of N samples of defective proportions by completing the following steps:a) You will start with a random number by combining the last 2 digits of the year in which you were born plus the day of the month in which you were born. For example, if you were born October 3, 1990, your number would be 90 + 3 = 93. (If your number exceeds 100, subtract 100 from the total.) Call this X and it will seed your random number generation. MY DATE OF BIRTH IS 9/4/1978.b) Choose a number of samples, N. (N should be between 5 and 10 samples.)c) In Excel, type =RAND()*X in a cell. Repeat N times. This will generate the proportion of defective products (out of 100) for your N samples.2. Use Excel to create a p-chart for a sample size, 100, and the number of samples, N.3. Write a professional memo to your business/company owner describing the production quality so far and prioritizing any control measures necessary to guarantee high quality products. Address the following items and questions in your professional memo:Describe your product, its use, and societal value. (Humor is encouraged.)Share and summarize your p-chart.What is your Lower Control Limit (LCL) and Upper Control Limit (UCL)?Is the product in control? If not in control, what sample(s) was outside of the limits, i.e., below LCL or above UCL?What measures could be taken now to address the data points that out of control?What recommendations would you suggest to optimize quality in future production?
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A straight road rises at an inclination of 0.3 radian from the horizontal
Answer the following questions in a Word document and upload the document to the appropriate drop box.1) A straight road r ...
A straight road rises at an inclination of 0.3 radian from the horizontal
Answer the following questions in a Word document and upload the document to the appropriate drop box.1) A straight road rises at an inclination of 0.3 radian from the horizontal. Find the slope and change in elevation over a one-mile section of the road. 2) In order to allow rain to run off of a road, they are often designed with parabolic surfaces in mind. Suppose a road is 32 feet wide and 0.4 foot higher in the center than it is on the sidea) Write an equation of the parabola with its vertex at the origin that models the road surface. b) How far from the center of the road is the road surface 0.2 feet lower than the center?3. A parabolic archway is 12 meters high at the vertex. At a height of 10 meters, the width of the archway is 8 meters. How wide is the archway at ground level? 4) Halley’s comet follows an elliptical orbit with the sun as one of the foci. The eccentricity of the orbit is approximately 0.967. The length of the major axis of the orbit is approximately 35.88 astronomical units. (An astronomical unit is about 93 million miles. (a) Find an equation of the orbit. Let the origin represent the sun and use the x axis as the major axis. (b) Find the greatest and least distances (the aphelion and perihelion, respectively) from the sun’s center to the comet’s center.5) You and a friend live 4 miles apart. You hear the sound of thunder 18 seconds before your friend hears it. Assuming sound travels at 1100 feet per second, determine where the lightning occur?
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)
MA215 Grantham Week 7 ROI Data Coefficient of Determination Project
Project Week 7For these project assignments throughout the course you will need to reference the data in the ROI Excel spr ...
MA215 Grantham Week 7 ROI Data Coefficient of Determination Project
Project Week 7For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadsheet. Download it here.
Using the ROI data set:For each of the two majors:Create a scatter diagram of Y = ‘Annual % ROI’ against X = ‘Cost’. Include the trendline, the equation of the trendline, and the coefficient of determination on the graph.Obtain b0 and b1 of the regression equation defined as y ̂ = b0 + b1X. Hint from Dr. Klotz: You can get this right from the trendline.Calculate the estimated ‘Annual % ROI’ when the ‘Cost’ (X) is $160,000.Conduct a full hypothesis test: You will be in charge. Set your own significance level. The hypotheses are given.H0: β1 = 0Ha: β1 ≠ 0Hint: Remember that a full hypothesis test is more than running the data analysis program. What were the steps from last week's discussion?In a highlighted box, discuss your final conclusion from this hypothesis test. For each major, is Annual % ROI related to Cost for business? For engineering? If so, describe the relationship in words. How does the outcome of this hypothesis test related to the central question of which ROI is better?
ASALLC Concrete Foundation for a Residential Building Project Worksheet
Refer to Sheets1, 2, 3, and 5 from the Marseille residential building plans in the Large Prints supplement to answer the
...
ASALLC Concrete Foundation for a Residential Building Project Worksheet
Refer to Sheets1, 2, 3, and 5 from the Marseille residential building plans in the Large Prints supplement to answer the
following questions. Complete Activity 10-2 complete the questions and fill in the answers on the form and save as a pdf
Business Statistics and Quantitative Analysis - Checking for Quality
Scenario: A venture capitalist has just given you several million dollars to develop your dream product! Explain in detail ...
Business Statistics and Quantitative Analysis - Checking for Quality
Scenario: A venture capitalist has just given you several million dollars to develop your dream product! Explain in detail what this product is and why people would buy it. (Think Steve Jobs and the iPhone - did people really think we needed “smartphones” back in 2007?)Main Post: Now your dream product has gone into production and the manager is asking you, as the statistical expert, to use statistical methods to ensure quality control.1. You will generate a random dataset of N samples of defective proportions by completing the following steps:a) You will start with a random number by combining the last 2 digits of the year in which you were born plus the day of the month in which you were born. For example, if you were born October 3, 1990, your number would be 90 + 3 = 93. (If your number exceeds 100, subtract 100 from the total.) Call this X and it will seed your random number generation. MY DATE OF BIRTH IS 9/4/1978.b) Choose a number of samples, N. (N should be between 5 and 10 samples.)c) In Excel, type =RAND()*X in a cell. Repeat N times. This will generate the proportion of defective products (out of 100) for your N samples.2. Use Excel to create a p-chart for a sample size, 100, and the number of samples, N.3. Write a professional memo to your business/company owner describing the production quality so far and prioritizing any control measures necessary to guarantee high quality products. Address the following items and questions in your professional memo:Describe your product, its use, and societal value. (Humor is encouraged.)Share and summarize your p-chart.What is your Lower Control Limit (LCL) and Upper Control Limit (UCL)?Is the product in control? If not in control, what sample(s) was outside of the limits, i.e., below LCL or above UCL?What measures could be taken now to address the data points that out of control?What recommendations would you suggest to optimize quality in future production?
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