Elementary Technical Mathematics
Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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3. (i) Let A, B, C, D, E be positive constants. Find the limit n³ D lim A(BC)³ +1 en 4+E. n→∞ [6 Marks] (ii) Let X be a random variable with the standard normal distribution, i.e. X has the probability density function Let 1 f(x) √2π n3x2 Xn = 100(50 +X6) en³4, n = 1, 2,..., 3+1 (a) Find the limit lim∞ Xn, verify your answer. Y = 100(50 +X) 22. [6 Marks] (b) Is Xn≤Y? Verify your answer. [6 Marks] (c) Is EY∞o? Verify your answer. [6 Marks] (d) Does lim∞ EXn (e) Find lim∞ EXn. Elim Xn? Why? [6 Marks] [3 Marks]
Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands. set.seed(1) e<-rnorm(n = 100,mean = 0,sd = 80) x<-seq(1,100,1) y<-10+15*x + e Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least three decimal places.) (a) The smallest value of y = (b) The largest value of y = (c) The standard deviation of y = (d) The mean of y = (e) The median of y = (f) The correlation between x and y = : (g) Using the variable e as data, the p-value for a test of Hoμ = 0 vs. HA μ0 is
2. Let (, F, P) be a probability space. Let X, Y be two independent ran- dom variables such that 1 3 P(X = 0) = P(X = 1) = P(X = 2) P(X = 3) = P(X = 4) = 10' 10' 3 1 7 P(Y = 0) = P(Y = 1) = = P(Y = 2) = 10' 10' P(Y = 3) 10' = P(Y = 4) = 20' 20 (i) Find the probability generation function Gx(s) and Gy(s) of X and Y, respectively. [12 Marks] (ii) Using Gx(s) and Gy(s), find the mean and variance of X and Y. [12 Marks] (iii) Find the probability generating function Gx+y(s) of X + Y. [8 Marks]

Chapter 3 Solutions

Elementary Technical Mathematics

Ch. 3.1 - Give the metric prefix for each value: 1000Ch. 3.1 - Give the metric prefix for each value: 100Ch. 3.1 - Give the metric prefix for each value: 0.01Ch. 3.1 - Give the metric prefix for each value: 0.1Ch. 3.1 - Give the metric prefix for each value: 0.001Ch. 3.1 - Give the metric prefix for each value: 10Ch. 3.1 - Give the metric prefix for each value: 1,000,000Ch. 3.1 - Give the metric prefix for each value: 0.000001Ch. 3.1 - Give the SI symbol for each prefix: hectoCh. 3.1 - Give the SI symbol for each prefix: kilo
Ch. 3.1 - Give the SI symbol for each prefix: deciCh. 3.1 - Give the SI symbol for each prefix: milliCh. 3.1 - Give the SI symbol for each prefix: centiCh. 3.1 - Prob. 14ECh. 3.1 - Give the SI symbol for each prefix: microCh. 3.1 - Give the SI symbol for each prefix: megaCh. 3.1 - Write the abbreviation for each quantity: 65...Ch. 3.1 - Write the abbreviation for each quantity: 125...Ch. 3.1 - Write the abbreviation for each quantity: 82...Ch. 3.1 - Write the abbreviation for each quantity: 205...Ch. 3.1 - Write the abbreviation for each quantity: 36...Ch. 3.1 - Write the abbreviation for each quantity: 75...Ch. 3.1 - Write the abbreviation for each quantity: 19...Ch. 3.1 - Write the abbreviation for each quantity: 5...Ch. 3.1 - Prob. 25ECh. 3.1 - Write the SI unit for each abbreviation: 15 LCh. 3.1 - Write the SI unit for each abbreviation: 36 kgCh. 3.1 - Write the SI unit for each abbreviation: 85 mmCh. 3.1 - Prob. 29ECh. 3.1 - Write the SI unit for each abbreviation: 9damCh. 3.1 - Write the SI unit for each abbreviation: 135 mLCh. 3.1 - Prob. 32ECh. 3.1 - Write the SI unit for each abbreviation: 45 mACh. 3.1 - Write the SI unit for each abbreviation: 75 MWCh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - The basic SI unit of electric current is ____.Ch. 3.1 - Prob. 38ECh. 3.1 - The common SI units of volume are ____ and ____.Ch. 3.1 - Prob. 40ECh. 3.2 - Which is longer? 1metreor1millimetreCh. 3.2 - Prob. 2ECh. 3.2 - Which is longer? 1metreor1kilometreCh. 3.2 - Prob. 4ECh. 3.2 - Which is longer? 1centimetreor1millimetreCh. 3.2 - Which is longer? 1killometreor1centimetreCh. 3.2 - Fill in each blank: 1m=mmCh. 3.2 - Fill in each blank: 1km=mCh. 3.2 - Fill in each blank: 1cm=mCh. 3.2 - Fill in each blank: 1m=cmCh. 3.2 - Fill in each blank: 1m=kmCh. 3.2 - Prob. 12ECh. 3.2 - Fill in each blank: 1mm=mCh. 3.2 - Prob. 14ECh. 3.2 - Fill in each blank: 1cm=mmCh. 3.2 - Fill in each blank: 1mm=cmCh. 3.2 - Fill in each blank: 1dam=dmCh. 3.2 - Prob. 18ECh. 3.2 - Which metric unit (km,m,cm,ormm ) should you use...Ch. 3.2 - Which metric unit (km,m,cm,ormm ) should you use...Ch. 3.2 - Prob. 21ECh. 3.2 - Which metric unit (km,m,cm,ormm ) should you use...Ch. 3.2 - Which metric unit (km,m,cm,ormm ) should you use...Ch. 3.2 - Which metric unit (km,m,cm,ormm ) should you use...Ch. 3.2 - Which metric unit (km,m,cm,ormm ) should you use...Ch. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Fill in each blank with the most reasonable unit...Ch. 3.2 - Prob. 31ECh. 3.2 - Fill in each blank with the most reasonable unit...Ch. 3.2 - Prob. 33ECh. 3.2 - Fill in each blank with the most reasonable unit...Ch. 3.2 - Prob. 35ECh. 3.2 - Fill in each blank with the most reasonable unit...Ch. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Read the measurements indicated by the letters on...Ch. 3.2 - Use a metric ruler to measure each line segment....Ch. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Change 675 m to km.Ch. 3.2 - Change 450 cm to m.Ch. 3.2 - Change 1540 mm to m.Ch. 3.2 - Change 3.2 km to m.Ch. 3.2 - Change 65 cm to m.Ch. 3.2 - Change 1.4 m to mm.Ch. 3.2 - Chagne7.3 m to cm.Ch. 3.2 - Change 0.25 km to m.Ch. 3.2 - Change 1250 m to km.Ch. 3.2 - Change 4.5 m to cm.Ch. 3.2 - Change 275 mm to cm.Ch. 3.2 - Change 48 cm to mm.Ch. 3.2 - Change 125 mm to cm.Ch. 3.2 - Change 0.75 m to m.Ch. 3.2 - Prob. 63ECh. 3.3 - Which is larger? 1 gram or 1 milligramCh. 3.3 - Which is larger? 1 gram or 1 kilogramCh. 3.3 - Which is larger? 1 milligram or 1 kilogramCh. 3.3 - Which is larger? 1 metric ton or 1 kilogramCh. 3.3 - Which is larger? 1 milligram or 1 microgramCh. 3.3 - Which is larger? 1 kilogram or 1 microgramCh. 3.3 - Fill in each blank: 1g=mgCh. 3.3 - Fill in each blank: 1kg=gCh. 3.3 - Fill in each blank: 1cg=gCh. 3.3 - Fill in each blank: 1mg=gCh. 3.3 - Fill in each blank: 1metricton=kgCh. 3.3 - Fill in each blank: 1g=cgCh. 3.3 - Fill in each blank: 1mg=gCh. 3.3 - Fill in each blank: 1g=mgCh. 3.3 - Which metric unit (kg, g, mg, or metric ton)...Ch. 3.3 - Which metric unit (kg, g, mg, or metric ton)...Ch. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Which metric unit (kg, g, mg, or metric ton)...Ch. 3.3 - Prob. 20ECh. 3.3 - Which metric unit (kg, g, mg, or metric ton)...Ch. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Which metric unit (kg, g, mg, or metric ton)...Ch. 3.3 - Prob. 25ECh. 3.3 - Fill in each blank with the most reasonable unit...Ch. 3.3 - Prob. 27ECh. 3.3 - Fill in each blank with the most reasonable unit...Ch. 3.3 - Prob. 29ECh. 3.3 - Fill in each blank with the most reasonable unit...Ch. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Change 875 g to kg.Ch. 3.3 - Change 127 mg to g.Ch. 3.3 - Change 85 g to mg.Ch. 3.3 - Change 1.5 kg to g.Ch. 3.3 - Change 3.6 kg to g.Ch. 3.3 - Change 430 g to mg.Ch. 3.3 - Change 270 mg to g.Ch. 3.3 - Change 1350 g to kg.Ch. 3.3 - Change 885 g to mg.Ch. 3.3 - Change 18 mg to g.Ch. 3.3 - Change 375 g to mg.Ch. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.4 - Which is larger? 1 litre or 1 millilitreCh. 3.4 - Which is larger? 1 millilitre or 1 kilolitreCh. 3.4 - Which is larger? 1 cubic millimeter or 1 cubic...Ch. 3.4 - Which is larger? 1 cubic metre or 1 litreCh. 3.4 - Which is larger? 1 square kilometer or 1 hectreCh. 3.4 - Which is larger? 1 square centimeter or 1 square...Ch. 3.4 - Fill in each blank: 1L=mLCh. 3.4 - Fill in each blank: 1mL=LCh. 3.4 - Fill in each blank: 1m3=cm3Ch. 3.4 - Fill in each blank: 1mm3=cm3Ch. 3.4 - Fill in each blank: 1cm2=mm2Ch. 3.4 - Fill in each blank: 1km2=haCh. 3.4 - Fill in each blank: 1m3=LCh. 3.4 - Prob. 14ECh. 3.4 - Which metric unit (m3,L,mL,m2,cm2,orha) should you...Ch. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Which metric unit (m3,L,mL,m2,cm2,orha) should you...Ch. 3.4 - Prob. 19ECh. 3.4 - Which metric unit (m3,L,mL,m2,cm2,orha) should you...Ch. 3.4 - Which metric unit (m3,L,mL,m2,cm2,orha) should you...Ch. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Which metric unit (m3,L,mL,m2,cm2,orha) should you...Ch. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Fill in each blank with the most reasonable unit...Ch. 3.4 - Fill in each blank with the most reasonable unit...Ch. 3.4 - Prob. 29ECh. 3.4 - Fill in each blank with the most reasonable unit...Ch. 3.4 - Prob. 31ECh. 3.4 - Fill in each blank with the most reasonable unit...Ch. 3.4 - Prob. 33ECh. 3.4 - Fill in each blank with the most reasonable unit...Ch. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Fill in each blank with the most reasonable unit...Ch. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Change 0.60 L to mL.Ch. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Change 85 cm3 to mL.Ch. 3.4 - Change 650 L to m3.Ch. 3.4 - Prob. 45ECh. 3.4 - Change 18 m2 to cm2.Ch. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - What is mass of 500 mL of water?Ch. 3.4 - Prob. 50ECh. 3.4 - How many hectares are contained in a rectangular...Ch. 3.4 - How many hectares are contained in a rectangular...Ch. 3.5 - Which is larger? 1 amp or 1 milliampCh. 3.5 - Which is larger? 1 microsecond or 1 picosecondCh. 3.5 - Prob. 3ECh. 3.5 - Which is larger? 1 megawatt or 1 milliwattCh. 3.5 - Which is larger? 1 kilovolt or 1 megavoltCh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Write the abbreviation for each unit: 7 millivoltsCh. 3.5 - Write the abbreviation for each unit: 17...Ch. 3.5 - Write the abbreviation for each unit: 1.2 amperesCh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Write the abbreviation for each unit: 540 ohmsCh. 3.5 - Write the abbreviation for each unit: 70...Ch. 3.5 - Prob. 15ECh. 3.5 - Fill in each blank: 1mA=ACh. 3.5 - Fill in each blank: 1ns=sCh. 3.5 - Fill in each blank: 1day=sCh. 3.5 - Fill in each blank: 1A=ACh. 3.5 - Fill in each blank: 1F=FCh. 3.5 - Fill in each blank: 1V=MVCh. 3.5 - Fill in each blank: 1Hz=kHzCh. 3.5 - Prob. 23ECh. 3.5 - Change 18 kW to W.Ch. 3.5 - Change 350 ms to s.Ch. 3.5 - Change 1 h 25 min 16 s to s.Ch. 3.5 - Prob. 27ECh. 3.5 - Change 15 MV to kV.Ch. 3.5 - Change 175 F to mF.Ch. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Use figure 3.14 to choose the most reasonable...Ch. 3.6 - Fill in each blank: 77F=CCh. 3.6 - Fill in each blank: 45C=FCh. 3.6 - Fill in each blank: 325C=FCh. 3.6 - Fill in each blank: 140F=CCh. 3.6 - Fill in each blank: 16C=FCh. 3.6 - Fill in each blank: 5F=CCh. 3.6 - Fill in each blank: 16F=CCh. 3.6 - Fill in each blank: 40C=FCh. 3.6 - Fill in each blank: 78C=FCh. 3.6 - Fill in each blank: 10F=CCh. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Prob. 6ECh. 3.7 - Prob. 7ECh. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Fill in each blank, rounding each result to three...Ch. 3.7 - Prob. 10ECh. 3.7 - Prob. 11ECh. 3.7 - A hole is 35 mm wide. How many inches wide is it?Ch. 3.7 - The diameter of a bolt is 0.425 in. Express this...Ch. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - How many pounds does a 150-kg satellite weigh?Ch. 3.7 - An iron bar weighs 2 lb 6 oz. Express its weight...Ch. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - A micro wheel weighs 0.045 oz. What is its weight...Ch. 3.7 - A hole is to be drilled in a metal plate 5 in. in...Ch. 3.7 - A can contains 15 oz of tomato sauce. How many...Ch. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - How many ft2arein140yd2?Ch. 3.7 - How many m2arein15yd2?Ch. 3.7 - Prob. 27ECh. 3.7 - How many ft2 are in rectangle 12.6 yd long and 8.6...Ch. 3.7 - How many ft2 are in a rectangle 12.6 m long and...Ch. 3.7 - Prob. 30ECh. 3.7 - Prob. 31ECh. 3.7 - Change5473in3tocm3.Ch. 3.7 - howmanymm3areinin3?Ch. 3.7 - Howmanyin3arein25cm3?Ch. 3.7 - Prob. 35ECh. 3.7 - Prob. 36ECh. 3.7 - A commercial space 60 ft wide and 90 ft deep rents...Ch. 3.7 - A concrete sidewalk is to be built (as shown in...Ch. 3.7 - How many acres are in a rectangular field that...Ch. 3.7 - How many acres are in a rectangular field that...Ch. 3.7 - How many hectares are in the field in Exercise 39?Ch. 3.7 - Prob. 42ECh. 3.7 - A house lot measures 145 ft by 186 ft. What part...Ch. 3.7 - How many acres are in 14mi2?Ch. 3.7 - Prob. 45ECh. 3.7 - How many acres are in 520 square rods?Ch. 3.7 - A corn yield of 10,550 kg/ha is equivalent to how...Ch. 3.7 - A soybean yield of 45 by/acre is equivalent to how...Ch. 3.7 - How many acres are in eight 30-in. rows 440 yards...Ch. 3.7 - a. How many rows 30 in. apart can be planted in a...Ch. 3.7 - For Octoberfest, a vender purchased 15 kg of...Ch. 3.7 - Prob. 52ECh. 3.7 - Change25.6kg/cm2tolb/in2.Ch. 3.7 - Prob. 54ECh. 3.7 - Prob. 55ECh. 3.7 - Change415lb/ft3tog/cm3.Ch. 3 - Given the metric prefix for each value: 0.001Ch. 3 - Given the metric prefix for each value: 1000Ch. 3 - Prob. 3RCh. 3 - Give the SI abbreviation for each prefix: microCh. 3 - Prob. 5RCh. 3 - Write the SI abbreviation for each quantity: 8.3...Ch. 3 - Prob. 7RCh. 3 - Prob. 8RCh. 3 - Prob. 9RCh. 3 - Prob. 10RCh. 3 - Prob. 11RCh. 3 - Prob. 12RCh. 3 - Prob. 13RCh. 3 - Prob. 14RCh. 3 - Prob. 15RCh. 3 - Fill in each blank: 6.1kg=gCh. 3 - Prob. 17RCh. 3 - Prob. 18RCh. 3 - Prob. 19RCh. 3 - Prob. 20RCh. 3 - Prob. 21RCh. 3 - Prob. 22RCh. 3 - Prob. 23RCh. 3 - Prob. 24RCh. 3 - Prob. 25RCh. 3 - Prob. 26RCh. 3 - Prob. 27RCh. 3 - Prob. 28RCh. 3 - Prob. 29RCh. 3 - Prob. 30RCh. 3 - Prob. 31RCh. 3 - Prob. 32RCh. 3 - Prob. 33RCh. 3 - Prob. 34RCh. 3 - Prob. 35RCh. 3 - Prob. 36RCh. 3 - Prob. 37RCh. 3 - Prob. 38RCh. 3 - Prob. 39RCh. 3 - Prob. 40RCh. 3 - Prob. 41RCh. 3 - Complete the following table of metric system...Ch. 3 - Prob. 1TCh. 3 - Give the metric prefix for 0.01.Ch. 3 - Prob. 3TCh. 3 - Write the SI unit for the abbreviations 240 L.Ch. 3 - Write the abbreviation for 30 hectograms.Ch. 3 - Which is longer, 1 km or 25 cm?Ch. 3 - Prob. 7TCh. 3 - Fill in each blank: 7.28mm=mCh. 3 - Prob. 9TCh. 3 - Fill in each blank: 256hm=cmCh. 3 - Prob. 11TCh. 3 - Fill in each blank: 16.2g=mgCh. 3 - Prob. 13TCh. 3 - Fill in each blank: 310g=cgCh. 3 - Prob. 15TCh. 3 - Fill in each blank: 1.52dL=LCh. 3 - Fill in each blank: 175L=m3Ch. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Fill in each blank: 0.2L=mLCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Fill in each blank: 13.9mA=ACh. 3 - Prob. 25TCh. 3 - What is the basic SI unit for temperature?Ch. 3 - What is the freezing temperature of water on the...Ch. 3 - Fill in each blank, rounding each result of three...Ch. 3 - Prob. 29TCh. 3 - Fill in each blank, rounding each result of three...Ch. 3 - Prob. 31TCh. 3 - Fill in each blank, rounding each result of three...Ch. 3 - Prob. 33TCh. 3 - Fill in each blank, rounding each result of three...Ch. 3 - Prob. 35T
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