Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 3.7, Problem 56E
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Dungeons and Dragons: Part A
A 20-sided die is often used in tabletop role-playing games like Dungeons and Dragons. During the game players may face something called a "skill check" where they must roll a 20-sided die and get a result equal to or above a given value. For example, a player may be required to roll a 15 or above in order to succeed and pass the skill check. Rolling a 14 or lower would be a failure.
If the player rolls the die 10 times in a row, what is the expected number of rolls that would pass the skill check by rolling as a 15 or higher?
For the previous calculations, what is the standard deviation for the number of times the die would be rolled 15 or above
During a game of Dungeons and Dragons, the previously-mentioned player rolls the 20-sided die 30 times in total. What is the probablity that they successfully roll a 15 or higher exactly 7 times during that game? Express your final answer as a percentage to 2 decimal places.
Q3. The distribution for the working lifetime of light bulbs, manufactured in a company, is found to be
normally distributed with a mean of 1450 hours and a standard deviation of 60 hours.
a) In this distribution, find the life time of a lightbulb whose z-score is -1.8?
b) Which percentage of lightbulbs have life time less than 1400 hours?
c) Which percentage of lightbulbs have life time greater than 1500 hours?
d) Which percentage of lightbulbs have life time between 1420 to 1500 hours?
Q4. Considering the following two normal distributions A and B, which statement (or statements) is correct?
a) Mode of the distribution A is larger than that of distribution B.
b) SD of the distribution B is larger than that of distribution A.
c) Mean of the distribution A is smaller than that of distribution B.
d) A data item with z-score of -1 falls between 20 to 30 in distribution A.
e) A data item with z-score of +1 falls between 10 to 20 in distribution B.
A
0
10
20
30
40
40
50
60
00
10
70
B
80
90
100
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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