Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 3, Problem 5T
Write the abbreviation for 30 hectograms.
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In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012).
Excel File: data05-23.xls
Number of Cups
per Day
Number of
Responses
0
365
264
193
2
3
4 or more
91
101
Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups.
Round your answers to four decimal places.
a. Develop a probability distribution for x.
x
0
1
2
3
f(x)
b. Compute the expected value of x.
cups of coffee
c. Compute the variance of x.
cups of coffee squared
d. Suppose we are only interested in adults that drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day.
Compute the expected value of y.
Compare it to the expected value of x.
The…
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency.
Develop a probability distribution for the duration of a service call.
Duration of Call
x
f(x)
1
2
3
4
Which of the following probability distribution graphs accurately represents the data set?
Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)?
What is the probability a service call will take three hours?
A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed.
x
f(x)
for x = 1, 2, or 3
a. Consider the required conditions for a discrete probability function, shown below.
f(x) ≥0
Σf(x) = 1
(5.1)
(5.2)
Does this probability distribution satisfy equation (5.1)?
Select
Does this probability distribution satisfy equation (5.2)?
Select
b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)?
c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?
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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