Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 11.4, Problem 8E
Draw the graph of each equation and label each vertex:
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You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below.
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model.
Interpret the…
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots.
Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Value of correlation coefficient:
Direction of the relationship (positive, negative, or zero relationship):
Strength of the relationship (strong/moderate/weak):
Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…
Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas.
Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars)
are as follows.
From
To
Hamilton Butler
Clermont
Southern Gas
10
20
15
Northwest Gas
12
15
18
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
Assignment 3 graph.docx
Score: 1 out of 1
Comment:
(b) Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs (in thousands of…
Chapter 11 Solutions
Elementary Technical Mathematics
Ch. 11.1 - Solve each equation: x2+x=12Ch. 11.1 - Solve each equation: x23x+2=0Ch. 11.1 - Solve each equation: x2+x20=0Ch. 11.1 - Prob. 4ECh. 11.1 - Solve each equation: x22=xCh. 11.1 - Solve each equation: x215x=54Ch. 11.1 - Solve each equation: x21=0Ch. 11.1 - Solve each equation: 16n2=49Ch. 11.1 - Solve each equation: x249=0Ch. 11.1 - Prob. 10E
Ch. 11.1 - Solve each equation: w2+5w+6=0Ch. 11.1 - Solve each equation: x26x=0Ch. 11.1 - Prob. 13ECh. 11.1 - Solve each equation: c2+2=3cCh. 11.1 - Solve each equation: n26n60=0Ch. 11.1 - Solve each equation: x217x+16=0Ch. 11.1 - Solve each equation: 9m=m2Ch. 11.1 - Solve each equation: 6n215n=0Ch. 11.1 - Solve each equation: x2=108+3xCh. 11.1 - Solve each equation: x2x=42Ch. 11.1 - Solve each equation: c2+6c=16Ch. 11.1 - Solve each equation: 4x2+4x3=0Ch. 11.1 - Solve each equation: 10x2+29x+10=0Ch. 11.1 - Solve each equation: 2x2=17x8Ch. 11.1 - Solve each equation: 4x2=25Ch. 11.1 - Solve each equation: 25x=x2Ch. 11.1 - Solve each equation: 9x2+16=24xCh. 11.1 - Solve each equation: 24x2+10=31xCh. 11.1 - Solve each equation: 3x2+9x=0Ch. 11.1 - A rectangle is 5 ft longer than it is wide. (See...Ch. 11.1 - The area of a triangle is 66 m2, and its base is 1...Ch. 11.1 - A rectangle is 9 ft longer than it is wide, and...Ch. 11.1 - A heating duct has a rectangular cross section...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Prob. 4ECh. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.3 - A variable voltage in an electrical circuit is...Ch. 11.3 - A variable electric current is given by i=t27t+12,...Ch. 11.3 - A rectangular piece of sheet metal is 4 ft longer...Ch. 11.3 - A hole in the side of a large metal tank needs to...Ch. 11.3 - The area of the wings of a small Cessna is 175...Ch. 11.3 - The perimeter of a rectangle is 46 cm, and its...Ch. 11.3 - The perimeter of a rectangle is 160 m, and its...Ch. 11.3 - A rectangular field is fenced in by using a river...Ch. 11.3 - The dimensions of a doorway are 3 ft by 7 ft 6 in....Ch. 11.3 - A square, 4 in. on a side, is cut out of each...Ch. 11.3 - A square is cut out of each corner of a...Ch. 11.3 - The area of a rectangular lot 80 m by 100 m is to...Ch. 11.3 - Prob. 13ECh. 11.3 - A border of uniform width is printed on a page...Ch. 11.3 - A company needs to build a ware house with...Ch. 11.3 - A 2000-ft2 storage building 9 ft high is needed to...Ch. 11.3 - A landscaper is laying sod in a rectangular front...Ch. 11.3 - A rectangular forest plot contains 120 acres and...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Simplify: j3Ch. 11.5 - Simplify: j6Ch. 11.5 - Simplify: j13Ch. 11.5 - Simplify: j16Ch. 11.5 - Simplify: j19Ch. 11.5 - Simplify: j31Ch. 11.5 - Simplify: j24Ch. 11.5 - Simplify: j26Ch. 11.5 - Simplify: j38Ch. 11.5 - Simplify: j81Ch. 11.5 - Simplify: 1jCh. 11.5 - Simplify: 1j6Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11 - Prob. 1RCh. 11 - Solve for x:3x(x2)=0Ch. 11 - Solve each equation by factoring: x24=0Ch. 11 - Solve each equation by factoring: x2x=6Ch. 11 - Solve each equation by factoring: 5x26x=0Ch. 11 - Solve each equation by factoring: x23x28=0Ch. 11 - Solve each equation by factoring: x214x=45Ch. 11 - Solve each equation by factoring: x2183x=0Ch. 11 - Solve each equation by factoring: 3x2+20x+32=0Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - The area of a piece of plywood is 36 ft2. Its...Ch. 11 - A variable electric current is given by the...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Express each number in terms of j: 36Ch. 11 - Express each number in terms of j: 73Ch. 11 - Simplify: j12Ch. 11 - Simplify: j27Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - A solar-heated house has a rectangular heat...Ch. 11 - A rectangular opening is 15 in. wide and 26 in....Ch. 11 - Solve each equation: x2=64Ch. 11 - Solve each equation: x28x=0Ch. 11 - Solve each equation: x2+9x36=0Ch. 11 - Solve each equation: 12x2+4x=1Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Draw the graph of y=x28x15 and label the vertex.Ch. 11 - Draw the graph of y=2x2+8x+11 and label the...Ch. 11 - Express each number in terms of j: 16Ch. 11 - Express each number in terms of j: 29Ch. 11 - Simplify: j9Ch. 11 - Simplify: j28Ch. 11 - Determine the nature of the roots of 3x2x+4=0...Ch. 11 - One side of a rectangle is 5 cm more that another....
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- For each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown. Which set of data did he use to create the histogram? A 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92 B 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91\ 55,\ 57,\ 60,\ 65,\ 70,\ 71,\ 78,\ 79,\ 85,\ 86,\ 88,\ 91 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91 C 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93\ 55,\ 60,\ 63,\ 64,\ 65,\ 71,\ 83,\ 87,\ 88,\ 88,\ 89,\ 93 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93 D 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91\ 55,\ 58,\ 60,\ 66,\ 68,\ 75,\ 77,\ 82,\ 86,\ 89,\ 91,\ 91 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
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