Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 9.4, Problem 27E
A medication is available in 2-mL vials and in 5-mL vials. In a certain month, 42 vials were used, totaling 117 mL of medication. How many of each type of vial were used?
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Answer questions 8.2.1 and 8.2.2 respectively
8.2.3 A research engineer for a tire manufacturer is investigating
tire life for a new rubber compound and has built 16 tires and
tested them to end-of-life in a road test. The sample mean and
standard deviation are 60,139.7 and 3645.94 kilometers. Find a
95% confidence interval on mean tire life.
8.2.4 Determine the t-percentile that is required to construct each of the following one-sided confidence intervals:
a. Confidence level = 95%, degrees of freedom = 14
b. Confidence level = 99%, degrees of freedom = 19
c. Confidence level = 99.9%, degrees of freedom = 24
8.1.6The yield of a chemical process is being studied. From previous experience, yield is known to be normally
distributed and σ = 3. The past 5 days of plant operation have
resulted in the following percent yields: 91.6, 88.75, 90.8, 89.95,
and 91.3. Find a 95% two-sided confidence interval on the true
mean yield.
8.1.7 .A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed
with σ = 0.001 millimeters. A random sample of 15 rings has a
mean diameter of x = 74.036 millimeters.
a. Construct a 99% two-sided confidence interval on the
mean piston ring diameter.
b. Construct a 99% lower-confidence bound on the mean
piston ring diameter. Compare the lower bound of this confi-
dence interval with the one in part (a).
Chapter 9 Solutions
Elementary Technical Mathematics
Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....
Ch. 9.1 - Prob. 11ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 21ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Solve Exercises 27-30 graphically: In a concrete...Ch. 9.1 - Prob. 30ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 26ECh. 9.4 - A board 96 cm long is cut into two pieces so that...Ch. 9.4 - Find the capacity of two trucks if 6 trips of the...Ch. 9.4 - A plumbing contractor decides to field-test two...Ch. 9.4 - A bricklayer lays an average of 150 bricks per...Ch. 9.4 - Two welders worked a total of 48 h on a project....Ch. 9.4 - A contractor finds a bill for $1110 for 720...Ch. 9.4 - A farmer has two types of feed. One has 5%...Ch. 9.4 - A dairy farmer wants to make 125 lb of 12%...Ch. 9.4 - A farmer sells corn for $6.00/bu and soybeans for...Ch. 9.4 - A farmer has a 1.4% solution and a 2.9% solution...Ch. 9.4 - A farmer has a 6% solution and a 12% solution of...Ch. 9.4 - The sum of two capacitors is 85 microfarads (F)....Ch. 9.4 - Nine batteries are hooked in series to provide a...Ch. 9.4 - In a parallel circuit, the total current passing...Ch. 9.4 - How much of an 8% solution and a 12% solution...Ch. 9.4 - The total current in a parallel circuit with seven...Ch. 9.4 - A small single-cylinder engine was operated on a...Ch. 9.4 - In testing a hybrid engine, various solutions of...Ch. 9.4 - An engine on a test stand was operated at two...Ch. 9.4 - A technician stores a parts cleaner as a 65%...Ch. 9.4 - Amy has a 3% solution and an 8% solution of a...Ch. 9.4 - A lawn seed mix containing 8% bluegrass is mixed...Ch. 9.4 - When three identical compressors and five air...Ch. 9.4 - A hospital has 35% saline solution on hand. How...Ch. 9.4 - A nurse gives 1000 mL of an intravenous (IV)...Ch. 9.4 - A hospital has a 4% saline solution and an 8%...Ch. 9.4 - A medication is available in 2-mL vials and in...Ch. 9.4 - A salesman turns in a ticket on two carpets for...Ch. 9.4 - An apartment owner rents one-bedroom apartments...Ch. 9.4 - A sporting goods store carries two types of...Ch. 9.4 - The sum of two resistors is 550 . One is 4.5 times...Ch. 9.4 - The ratio of gravel to cement in a concrete mix is...Ch. 9.4 - A wire 120 cm long is to be cut into two pieces so...Ch. 9.4 - The sum of two resistances is 1500 . The larger is...Ch. 9.4 - A rectangle is twice as long as it is wide. Its...Ch. 9.4 - A duct from a furnace forks into two ducts. The...Ch. 9.4 - The sum of three currents is 210 mA. Two currents...Ch. 9.4 - An experienced welder makes 53 as many welds as a...Ch. 9.4 - On a survey plat, the perimeter of a rectangular-...Ch. 9.4 - A supply duct is to run the perimeter of a...Ch. 9.4 - In a drawing, the perimeter of a room is 40 ft. If...Ch. 9.4 - A rectangular walkway in front of an office...Ch. 9.4 - If the length of a building is 212 times the width...Ch. 9.4 - The center-to-center distance between a fan and a...Ch. 9.4 - A carpenter starts with a board that is 12 ft long...Ch. 9.4 - Taughannock Falls near Ithaca, New York, is about...Ch. 9.4 - Ground corn and soybean meal are blended to...Ch. 9.4 - Two rental airplanes were flown a total of 54 h in...Ch. 9.4 - Jim bought both a municipal bond paying 3.5% and a...Ch. 9.4 - Chef Ruth has 90% lean ground beef and also 75%...Ch. 9.4 - A coffee shop has tables that seat 6 guests and...Ch. 9.4 - The Open Late Restaurant sells chili in cups and...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Solve each system of equations: x+y=72xy=2Ch. 9 - Solve each system of equations: 3x+2y=11x+2y=5Ch. 9 - Solve each system of equations: 3x5y=32x3y=1Ch. 9 - Solve each system of equations: 2x3y=14x6y=5Ch. 9 - Solve each system of equations: 3x+5y=86x4y=44Ch. 9 - Solve each system of equations: 5x+7y=224x+8y=20Ch. 9 - Solve each system of equations: x+2y=33x+6y=9Ch. 9 - Solve each system of equations: 3x+5y=52y=2xCh. 9 - Solve each system of equations: 5y4x=6x=12yCh. 9 - Solve each system of equations: 3x7y=69y=4x+5Ch. 9 - You can buy twenty 20-amp electrical switches and...Ch. 9 - The sum of the length and width of a rectangular...Ch. 9 - The sum of two inductors is 90 millihenrys (mH)....Ch. 9 - The sum of two lengths is 90 ft, and their...Ch. 9 - Solve each system of equations by the method...Ch. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - The perimeter of a rectangular lot is 600 m. The...Ch. 9 - The sum of two resistances is 550 . The difference...
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- 8.1.2 .Consider the one-sided confidence interval expressions for a mean of a normal population. a. What value of zα would result in a 90% CI? b. What value of zα would result in a 95% CI? c. What value of zα would result in a 99% CI? 8.1.3 A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05) a. What is the value of the sample mean? b. One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI and why?arrow_forward8.1.4 . A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation σ = 20. a. How large must n be if the length of the 95% CI is to be 40? b. How large must n be if the length of the 99% CI is to be 40? 8.1.5 Suppose that n = 100 random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liter) measured. A 95% CI on the mean calcium concentration is 0.49 g μ g 0.82. a. Would a 99% CI calculated from the same sample data be longer or shorter? b. Consider the following statement: There is a 95% chance that μ is between 0.49 and 0.82. Is this statement correct? Explain your answer. c. Consider the following statement: If n = 100 random samples of water from the lake were taken and the 95% CI on μ computed, and this process were repeated 1000 times, 950 of the CIs would contain the true value of μ. Is this statement correct? Explain your answerarrow_forward2 6. Modelling. Suppose that we have two tanks (A and B) between which a mixture of brine flows. Tank A contains 200 liters of water in which 50 kilograms of salt has been dissolved and Tank B contains 100 liters of pure water. Water containing 1kg of salt per liter is pumped into Tank A at the rate of 5 liters per minute. Brine mixture is pumped into Tank A from Tank B at the rate of 3 liters per minute and brine mixture is pumped from Tank A into Tank B at the rate of 8 liters per minute. Brine is drained from Tank B at a rate of 5 liters per minute. (a) Draw and carefully label a picture of the situation, including both tanks and the flow of brine between them. JankA 1ks of Salt Slits Pump EL Brine mit tark A from tank 13 Tank 13 k 3L zooliters of Ico liters of water with pure water. Saky salt → 777 disslore inside Brine mix is pumped from tank A to B of 82 Brine drainen min by Gf salt (b) Assume all brine mixtures are well-stirred. If we let t be the time in minutes, let x(t) 1ks…arrow_forward
- 5. The graph of ƒ is given below. Sketch a graph of f'. 6. The graph of ƒ is given below. Sketch a graph of f'. 0 x 7. The graph of ƒ is given below. List the x-values where f is not differentiable. 0 A 2 4arrow_forward2. DRAW a picture, label using variables to represent each component, set up an equation to relate the variables, then differentiate the equation to solve the problem below. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder?arrow_forwardPlease answer all questions and show full credit pleasearrow_forward
- please solve with full steps pleasearrow_forward4. Identify at least two mistakes in Francisco's work. Correct the mistakes and complete the problem by using the second derivative test. 2f 2X 2. Find the relative maximum and relative minimum points of f(x) = 2x3 + 3x² - 3, using the First Derivative Test or the Second Derivative Test. bx+ bx 6x +6x=0 12x- af 24 = 0 x=0 108 -2 5. Identify at least three mistakes in Francisco's work. Then sketch the graph of the function and label the local max and local min. 1. Find the equation of the tangent line to the curve y=x-2x3+x-2 at the point (1.-2). Sketch the araph of y=x42x3+x-2 and the tangent line at (1,-2) y' = 4x-6x y' (1) = 4(1) - 667 - 2 = 4(-2)4127-6(-2) 5-8-19-20 =arrow_forward۳/۱ R2X2 2) slots per pole per phase = 3/31 B=18060 msl Ka, Sin (1) Kdl Isin ( sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 120*50 5) Synchronous speed, 120 x 50 S1000-950 1000 Copper losses 5kw 50105 Rotor input 5 0.05 loo kw 6) 1 1000rpm اذا ميريد شرح الكتب فقط Look = 7) rotov DC ined sove in peaper PU + 96er Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. 3" 6" Σ=1 (2-1) π X9arrow_forward
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