MYLAB MATH FOR MATHEMATICS FOR THE TRAD
11th Edition
ISBN: 2818440003295
Author: CARMAN
Publisher: PEARSON CP
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Chapter 3.2, Problem 36AE
To determine
To find: The product of the two decimal numbers 123.4 and 0.45.
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Year Month Rate (%)2009 Mar 8.72009 Apr 9.02009 May 9.42009 Jun 9.52009 Jul 9.52009 Aug 9.62009 Sep 9.82009 Oct 10.02009 Nov 9.92009 Dec 9.92010 Jan 9.82010 Feb 9.82010 Mar 9.92010 Apr 9.92010 May 9.62010 Jun 9.42010 Jul 9.52010 Aug 9.52010 Sep 9.52010 Oct 9.52010 Nov 9.82010 Dec 9.32011 Jan 9.12011 Feb 9.02011 Mar 8.92011 Apr 9.02011 May 9.02011 Jun 9.12011 Jul 9.02011 Aug 9.02011 Sep 9.02011 Oct 8.92011 Nov 8.62011 Dec 8.52012 Jan 8.32012 Feb 8.32012 Mar 8.22012 Apr 8.12012 May 8.22012 Jun 8.22012 Jul 8.22012 Aug 8.12012 Sep 7.82012 Oct…
Chapter 3 Solutions
MYLAB MATH FOR MATHEMATICS FOR THE TRAD
Ch. 3.1 - Write as a decimal number: seven tenthsCh. 3.1 - You have three dollars and seventy-five cents and...Ch. 3.1 - Write in words. 0.72Ch. 3.1 - Write in words. 8.7Ch. 3.1 - Write in words. 12.36Ch. 3.1 - Prob. 4AECh. 3.1 - Write in words. 3.072Ch. 3.1 - Write in words. 14.091Ch. 3.1 - Write in words. 3.0024Ch. 3.1 - Write in words. 6.0083
Ch. 3.1 - Prob. 9AECh. 3.1 - Write as a decimal number. Three and four tenthsCh. 3.1 - Prob. 11AECh. 3.1 - Prob. 12AECh. 3.1 - Prob. 13AECh. 3.1 - Prob. 14AECh. 3.1 - Prob. 15AECh. 3.1 - Prob. 16AECh. 3.1 - Write as a decimal number. One hundred sixteen...Ch. 3.1 - Prob. 18AECh. 3.1 - Write as a decimal number. Two and three hundred...Ch. 3.1 - Write as a decimal number. Ten and two hundred...Ch. 3.1 - Add or subtract as shown. 14.21 + 6.8Ch. 3.1 - Prob. 2BECh. 3.1 - Add or subtract as shown. 2.83 + 12.19Ch. 3.1 - Add or subtract as shown. 52.37 + 98.74Ch. 3.1 - Add or subtract as shown. 0.687 + 0.93Ch. 3.1 - Prob. 6BECh. 3.1 - Add or subtract as shown. 507.18 + 321.42Ch. 3.1 - Prob. 8BECh. 3.1 - Add or subtract as shown. 45.6725 + 18.058Ch. 3.1 - Prob. 10BECh. 3.1 - Add or subtract as shown. 19 12.03Ch. 3.1 - Prob. 12BECh. 3.1 - Add or subtract as shown. 33.40 18.04Ch. 3.1 - Prob. 14BECh. 3.1 - Add or subtract as shown. 75.08 32.75Ch. 3.1 - Prob. 16BECh. 3.1 - Add or subtract as shown. 30 7.98Ch. 3.1 - Prob. 18BECh. 3.1 - Add or subtract as shown. 130 16.04Ch. 3.1 - Add or subtract as shown. 19 5.78Ch. 3.1 - Add or subtract as shown. 37 + 0.09 + 3.5 + 4.605Ch. 3.1 - Prob. 22BECh. 3.1 - Add or subtract as shown. 14.75 + 9 + 3.76Ch. 3.1 - Prob. 24BECh. 3.1 - Add or subtract as shown. 68.708 + 27.18Ch. 3.1 - Prob. 26BECh. 3.1 - Add or subtract as shown. 47.04 31.88Ch. 3.1 - Add or subtract as shown. 180.76 94.69Ch. 3.1 - Add or subtract as shown. 26.45 17.832Ch. 3.1 - Prob. 30BECh. 3.1 - Add or subtract as shown. 6.4 + 17.05 + 7.78Ch. 3.1 - Add or subtract as shown. 212.4 + 76 + 3.79Ch. 3.1 - Add or subtract as shown. 26.008 8.4Ch. 3.1 - Prob. 34BECh. 3.1 - Add or subtract as shown. 0.0046 + 0.073Ch. 3.1 - Add or subtract as shown. 0.038 + 0.00462Ch. 3.1 - Add or subtract as shown. 28.7 7.38 + 2.9Ch. 3.1 - Add or subtract as shown. 0.932 + 0.08 0.4Ch. 3.1 - Add or subtract as shown. 6.01 3.55 0.712Ch. 3.1 - Prob. 40BECh. 3.1 - Machine Trades What is the combined thickness of...Ch. 3.1 - Electrical Trades The combined weight of a spool...Ch. 3.1 - Electrical Trades The following are diameters of...Ch. 3.1 - Trades Management In estimating the cost of a job,...Ch. 3.1 - Metalworking Find A, B, and C.Ch. 3.1 - Plumbing A piece of pipe 8.4 in. long is cut from...Ch. 3.1 - Machine Trades A certain machine part is 2.345 in....Ch. 3.1 - Masonry Find the total cost of the materials for a...Ch. 3.1 - Masonry The specifications for a reinforced...Ch. 3.1 - Construction A plot plan of a building site showed...Ch. 3.1 - Automotive Trades A mechanic must estimate the...Ch. 3.1 - Automotive Trades A heated piston measures 8.586...Ch. 3.1 - Prob. 13CECh. 3.1 - Prob. 14CECh. 3.1 - Prob. 15CECh. 3.1 - Prob. 16CECh. 3.1 - Prob. 17CECh. 3.1 - Prob. 18CECh. 3.1 - Automotive Trades A technician renovating a truck...Ch. 3.1 - Prob. 20CECh. 3.1 - Automotive Trades An automotive technician is paid...Ch. 3.1 - Prob. 22CECh. 3.1 - Prob. 23CECh. 3.1 - Life Skills Balance this checkbook by finding the...Ch. 3.1 - Automotive Trades What is the actual cost of the...Ch. 3.1 - Add as shown. (a)...Ch. 3.2 - What is half of 0.8?Ch. 3.2 - Prob. 2LCCh. 3.2 - Prob. 3LCCh. 3.2 - Multiply or divide as shown. 0.01 0.001Ch. 3.2 - Multiply or divide as shown. 10 2.15Ch. 3.2 - Multiply or divide as shown. 0.04 100Ch. 3.2 - Prob. 4AECh. 3.2 - Multiply or divide as shown. 0.7 1.2Ch. 3.2 - Prob. 6AECh. 3.2 - Multiply or divide as shown. 0.003 0.01Ch. 3.2 - Multiply or divide as shown. 7.25 0.301Ch. 3.2 - Multiply or divide as shown. 24.6 8.5Ch. 3.2 - Prob. 10AECh. 3.2 - Multiply or divide as shown. 0.6 0.6 6.0Ch. 3.2 - Prob. 12AECh. 3.2 - Multiply or divide as shown. 3.618 0.6Ch. 3.2 - Prob. 14AECh. 3.2 - Multiply or divide as shown. 4.40 0.22Ch. 3.2 - Prob. 16AECh. 3.2 - Multiply or divide as shown. 0.0405 0.9Ch. 3.2 - Prob. 18AECh. 3.2 - Multiply or divide as shown. 4 0.01Ch. 3.2 - Multiply or divide as shown. 2.59 70Ch. 3.2 - Multiply or divide as shown. 44.22 6.7Ch. 3.2 - Multiply or divide as shown. 104.2 0.0320Ch. 3.2 - Multiply or divide as shown. 484 0.8Ch. 3.2 - Prob. 24AECh. 3.2 - Prob. 25AECh. 3.2 - Prob. 26AECh. 3.2 - Prob. 27AECh. 3.2 - Prob. 28AECh. 3.2 - Prob. 29AECh. 3.2 - Prob. 30AECh. 3.2 - Multiply or divide as shown. 0.0092 115Ch. 3.2 - Prob. 32AECh. 3.2 - Prob. 33AECh. 3.2 - Prob. 34AECh. 3.2 - Prob. 35AECh. 3.2 - Prob. 36AECh. 3.2 - Multiply or divide as shown. 0.062 27.5Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Prob. 4BECh. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Calculate using the proper order of operations....Ch. 3.2 - Round the following numbers as indicated. 42.875...Ch. 3.2 - Round the following numbers as indicated. 0.5728...Ch. 3.2 - Round the following numbers as indicated. 6.54...Ch. 3.2 - Round the following numbers as indicated. 117.6252...Ch. 3.2 - Round the following numbers as indicated. 79.135...Ch. 3.2 - Round the following numbers as indicated. 1462.87...Ch. 3.2 - Round the following numbers as indicated. 3.64937...Ch. 3.2 - Round the following numbers as indicated. 19.4839...Ch. 3.2 - Round the following numbers as indicated. 0.2164...Ch. 3.2 - Prob. 10CECh. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Prob. 2DECh. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Prob. 4DECh. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Divide and round as indicated. Round to two...Ch. 3.2 - Prob. 8DECh. 3.2 - Prob. 9DECh. 3.2 - Prob. 10DECh. 3.2 - Prob. 11DECh. 3.2 - Prob. 12DECh. 3.2 - D. Divide and round as indicated. Round to the...Ch. 3.2 - Prob. 14DECh. 3.2 - Prob. 15DECh. 3.2 - Prob. 16DECh. 3.2 - D. Divide and round as indicated. Round to three...Ch. 3.2 - Prob. 18DECh. 3.2 - Prob. 19DECh. 3.2 - Prob. 20DECh. 3.2 - Prob. 1EECh. 3.2 - Prob. 2EECh. 3.2 - E. Find the average for each of the following sets...Ch. 3.2 - Prob. 4EECh. 3.2 - E. Find the average for each of the following sets...Ch. 3.2 - Prob. 6EECh. 3.2 - Painting A gas-powered airless paint sprayer is...Ch. 3.2 - Allied Health How much total medication will a...Ch. 3.2 - Prob. 3FECh. 3.2 - Prob. 4FECh. 3.2 - Prob. 5FECh. 3.2 - Machine Trades How much does 15.7 sq ft of No. 16...Ch. 3.2 - Prob. 7FECh. 3.2 - Prob. 8FECh. 3.2 - Prob. 9FECh. 3.2 - Prob. 10FECh. 3.2 - Prob. 11FECh. 3.2 - Prob. 12FECh. 3.2 - Prob. 13FECh. 3.2 - Prob. 14FECh. 3.2 - Prob. 15FECh. 3.2 - Construction A 4-ft by 8-ft piece of 12-in. gypsum...Ch. 3.2 - Prob. 17FECh. 3.2 - Office Services The Happy Hacker electronics...Ch. 3.2 - Prob. 19FECh. 3.2 - Prob. 20FECh. 3.2 - Prob. 21FECh. 3.2 - Prob. 22FECh. 3.2 - Prob. 23FECh. 3.2 - Prob. 24FECh. 3.2 - Prob. 25FECh. 3.2 - Prob. 26FECh. 3.2 - Prob. 27FECh. 3.2 - Prob. 28FECh. 3.2 - Prob. 29FECh. 3.2 - Automotive Trades A 2017 Hyundai Sonata Eco is...Ch. 3.2 - Prob. 31FECh. 3.2 - Construction A certain thickness of sheet glass...Ch. 3.2 - Construction The Passive House Standard is a...Ch. 3.2 - Prob. 34FECh. 3.2 - Prob. 35FECh. 3.2 - Prob. 36FECh. 3.2 - Prob. 37FECh. 3.2 - HVAC A homeowner in the Northeast recently spent...Ch. 3.2 - Prob. 39FECh. 3.2 - Prob. 40FECh. 3.2 - Prob. 41FECh. 3.2 - Prob. 42FECh. 3.2 - Prob. 43FECh. 3.2 - Prob. 44FECh. 3.2 - Prob. 45FECh. 3.2 - Prob. 1GECh. 3.2 - Prob. 2GECh. 3.2 - Prob. 3GECh. 3.2 - Prob. 4GECh. 3.2 - Prob. 5GECh. 3.2 - Prob. 6GECh. 3.2 - Prob. 7GECh. 3.2 - Prob. 8GECh. 3.2 - Prob. 9GECh. 3.2 - Prob. 10GECh. 3.2 - Prob. 11GECh. 3.2 - Prob. 12GECh. 3.2 - Prob. 13GECh. 3.2 - Prob. 14GECh. 3.2 - Prob. 15GECh. 3.2 - Prob. 16GECh. 3.2 - Prob. 17GECh. 3.2 - Prob. 18GECh. 3.2 - Prob. 19GECh. 3.2 - Prob. 20GECh. 3.2 - Prob. 21GECh. 3.2 - Prob. 22GECh. 3.2 - Prob. 23GECh. 3.2 - Prob. 24GECh. 3.2 - Prob. 25GECh. 3.3 - Write 14 as a decimal number.Ch. 3.3 - What is one-third of 1.5?Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 8AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 12AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 14AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 16AECh. 3.3 - Prob. 17AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 20AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 22AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 24AECh. 3.3 - Prob. 25AECh. 3.3 - Prob. 26AECh. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Write as decimal numbers. Use the bar notation for...Ch. 3.3 - Prob. 1BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 4BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 8BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 10BECh. 3.3 - Calculate in decimal form. Round to agree with the...Ch. 3.3 - Prob. 12BECh. 3.3 - Allied Health If one tablet of calcium...Ch. 3.3 - Flooring and Carpeting Estimates of matched or...Ch. 3.3 - Roofing If a roofer lays 1012 squares of shingles...Ch. 3.3 - Machine Trades A bearing journal measures 1.996...Ch. 3.3 - Interior Design Complete the following invoice for...Ch. 3.3 - Construction A land developer purchased a piece of...Ch. 3.3 - Machine Trades Find the corner measurement A...Ch. 3.3 - Automotive Trades A cylinder is normally 3716 in....Ch. 3.3 - Plumbers deal with measurements in inches and...Ch. 3.3 - Plumbing To fit a 45 degree connection, a plumber...Ch. 3.3 - Electronics The frequency of a waveform or...Ch. 3.3 - Water/Wastewater Treatment A reservoir is used at...Ch. 3.3 - Sheet Metal Trades At one time the thickness of...Ch. 3.3 - Office Services Machine helpers at the CALMAC Tool...Ch. 3.3 - Prob. 15CECh. 3.3 - Carpentry For interior trim jobs, some carpenters...Ch. 3.3 - C. Practical Problems General Trades Use the table...Ch. 3 - (a) Write or pronounce a decimal number in words....Ch. 3 - Add, subtract, multiply, and divide decimal...Ch. 3 - Find averages. Find the average of 4.2, 4.8, 5.7,...Ch. 3 - Work with decimal fractions. (a) Write as a...Ch. 3 - Solve practical problems involving decimal...Ch. 3 - Write in words. 0.9Ch. 3 - Prob. 2APSCh. 3 - A. Write in words. 23.164Ch. 3 - A. Write in words. 63.219Ch. 3 - A. Write in words. 9.3Ch. 3 - A. Write in words. 3.45Ch. 3 - Write in words. 10.0625Ch. 3 - Write in words. 15.037Ch. 3 - Write as decimal numbers. Seven hundredthsCh. 3 - Write as decimal numbers. Eighteen thousandthsCh. 3 - Write as decimal numbers. Two hundred and eight...Ch. 3 - Write as decimal numbers. Sixteen and seventeen...Ch. 3 - Write as decimal numbers. Sixty-three and...Ch. 3 - Prob. 14APSCh. 3 - Write as decimal numbers. Five and sixty-three...Ch. 3 - Prob. 16APSCh. 3 - Prob. 1BPSCh. 3 - B. Add or subtract as shown. 18.8 + 156.16Ch. 3 - B. Add or subtract as shown. 7.52 + 11.77Ch. 3 - B. Add or subtract as shown. 26 + 0.06Ch. 3 - B. Add or subtract as shown. 3.68 1.74Ch. 3 - Add or subtract as shown. 12.46 8.51Ch. 3 - Prob. 7BPSCh. 3 - Prob. 8BPSCh. 3 - Prob. 9BPSCh. 3 - Add or subtract as shown. 0.232 + 5.079Ch. 3 - Prob. 11BPSCh. 3 - Prob. 12BPSCh. 3 - Prob. 13BPSCh. 3 - Prob. 14BPSCh. 3 - Prob. 15BPSCh. 3 - Prob. 16BPSCh. 3 - B. Add or subtract as shown. 315+1.08Ch. 3 - Prob. 18BPSCh. 3 - Prob. 19BPSCh. 3 - B. Add or subtract as shown. 8.1+0.47145Ch. 3 - Prob. 1CPSCh. 3 - C. Calculate as shown. 0.06 0.05Ch. 3 - Prob. 3CPSCh. 3 - Prob. 4CPSCh. 3 - Prob. 5CPSCh. 3 - C. Calculate as shown. 1.17 4.5Ch. 3 - Prob. 7CPSCh. 3 - Prob. 8CPSCh. 3 - Prob. 9CPSCh. 3 - C. Calculate as shown. 0.078 0.3Ch. 3 - Prob. 11CPSCh. 3 - Prob. 12CPSCh. 3 - Prob. 13CPSCh. 3 - Prob. 14CPSCh. 3 - 4.2+4.61.22.7321+0.41Ch. 3 - 7.23.251.33.5+5.74.02.8Ch. 3 - C. Calculate as shown. 1.2 + 0.7 2.2 + 1.6Ch. 3 - Prob. 18CPSCh. 3 - Prob. 19CPSCh. 3 - Prob. 20CPSCh. 3 - Round to two decimal digits. 0.007 0.03Ch. 3 - Prob. 22CPSCh. 3 - Round to two decimal digits. 17.8 6.4Ch. 3 - Prob. 24CPSCh. 3 - Round to three decimal places. 27.0072Ch. 3 - Prob. 26CPSCh. 3 - Round to three decimal places. 0.04 0.076Ch. 3 - Prob. 28CPSCh. 3 - Round to three decimal places. 17.6 0.082Ch. 3 - Prob. 30CPSCh. 3 - Round to the nearest tenth. 47.233Ch. 3 - Prob. 32CPSCh. 3 - Round to the nearest tenth. 0.08 0.053Ch. 3 - Prob. 34CPSCh. 3 - Round to the nearest tenth. 18.76 4.05Ch. 3 - Round to the nearest tenth. 0.91 0.97Ch. 3 - D. Write as a decimal number. 116Ch. 3 - Prob. 2DPSCh. 3 - D. Write as a decimal number. 532Ch. 3 - Prob. 4DPSCh. 3 - D. Write as a decimal number. 118Ch. 3 - Prob. 6DPSCh. 3 - Write as a decimal number. 21120Ch. 3 - Write as a decimal number. 116Ch. 3 - Prob. 9DPSCh. 3 - Prob. 10DPSCh. 3 - Write as a decimal number. 2516Ch. 3 - Prob. 12DPSCh. 3 - Prob. 13DPSCh. 3 - Prob. 14DPSCh. 3 - Write in decimal form, calculate, round to two...Ch. 3 - Prob. 16DPSCh. 3 - Prob. 17DPSCh. 3 - Prob. 1EPSCh. 3 - E. Find the average for each of the following sets...Ch. 3 - Prob. 3EPSCh. 3 - Prob. 4EPSCh. 3 - Machine Trades A 516-in. bolt weighs 0.43 lb. How...Ch. 3 - Metalworking Twelve equally spaced holes are to be...Ch. 3 - Plumbing A plumber finds the length of pipe needed...Ch. 3 - Prob. 4FPSCh. 3 - Prob. 5FPSCh. 3 - Prob. 6FPSCh. 3 - Prob. 7FPSCh. 3 - Prob. 8FPSCh. 3 - Prob. 9FPSCh. 3 - General Trades What is the closest fractional...Ch. 3 - Prob. 11FPSCh. 3 - Trades Management When the owners of the Better...Ch. 3 - Prob. 13FPSCh. 3 - Sheet Metal Trades To determine the average...Ch. 3 - Prob. 15FPSCh. 3 - Prob. 16FPSCh. 3 - Prob. 17FPSCh. 3 - General Interest In 2015, many states, counties,...Ch. 3 - Prob. 19FPSCh. 3 - Automotive Trades What is the outside diameter d...Ch. 3 - Prob. 21FPSCh. 3 - Prob. 22FPSCh. 3 - Prob. 23FPSCh. 3 - Printing A 614-page book was printed on paper...Ch. 3 - Allied Health The primary care physician has...Ch. 3 - Prob. 26FPSCh. 3 - Prob. 27FPSCh. 3 - Prob. 28FPSCh. 3 - Prob. 29FPSCh. 3 - Plumbing The inside diameter (I.D.) and outside...Ch. 3 - Prob. 31FPSCh. 3 - Office Services A shop technician earns 18.26 per...Ch. 3 - Prob. 33FPSCh. 3 - Prob. 34FPSCh. 3 - Prob. 35FPSCh. 3 - Prob. 36FPSCh. 3 - Prob. 37FPSCh. 3 - HVAC In March 2012, home heating oil sold for an...Ch. 3 - Prob. 39FPSCh. 3 - Prob. 40FPSCh. 3 - Prob. 41FPSCh. 3 - Prob. 42FPSCh. 3 - Prob. 43FPSCh. 3 - Prob. 44FPSCh. 3 - Prob. 45FPSCh. 3 - General Interest In January 2016, the state of...Ch. 3 - Life Skills A certain electric company charges...Ch. 3 - Plumbing A plumber replaced a showerhead that used...Ch. 3 - Life Skills During the severe droughts in...Ch. 3 - Automotive Trades Parts (a) and (b) of this...Ch. 3 - Agriculture The table below shows the number of...Ch. 3 - Construction Over the course of a building...Ch. 3 - Metalworking Find the total length of the piece of...
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- 3) Which of the following are equivalent to 3? (There may be more than one that is equivalent!) -1 (a) (9)¯¹ 3. (b) (-3)-1 (c) (-3) -1 (d) -(¯3) (e) 11 3-1 (f) 3-4arrow_forwardY- ___b=_____ (X- )arrow_forwardFor each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical) Date IBM9/7/2010 $125.959/8/2010 $126.089/9/2010 $126.369/10/2010 $127.999/13/2010 $129.619/14/2010 $128.859/15/2010 $129.439/16/2010 $129.679/17/2010 $130.199/20/2010 $131.79arrow_forward
- 5) State any theorems that you use in determining your solution. a) Suppose you are given a model with two explanatory variables such that: Yi = a +ẞ1x1 + ẞ2x2i + Ui, i = 1, 2, ... n Using partial differentiation derive expressions for the intercept and slope coefficients for the model above. [25 marks] b) A production function is specified as: Yi = α + B₁x1i + ẞ2x2i + Ui, i = 1, 2, ... n, u₁~N(0,σ²) where: y = log(output), x₁ = log(labor input), x2 = log(capital input) The results are as follows: x₁ = 10, x2 = 5, ỹ = 12, S11 = 12, S12= 8, S22 = 12, S₁y = 10, = 8, Syy = 10, S2y n = 23 (individual firms) i) Compute values for the intercept, the slope coefficients and σ². [20 marks] ii) Show that SE (B₁) = 0.102. [15 marks] iii) Test the hypotheses: ẞ1 = 1 and B2 = 0, separately at the 5% significance level. You may take without calculation that SE (a) = 0.78 and SE (B2) = 0.102 [20 marks] iv) Find a 95% confidence interval for the estimate ẞ2. [20 marks]arrow_forwardPage < 2 of 2 - ZOOM + The set of all 3 x 3 upper triangular matrices 6) Determine whether each of the following sets, together with the standard operations, is a vector space. If it is, then simply write 'Vector space'. You do not have to prove all ten vector space axioms. If it is not, then identify one of the ten vector space axioms with its number in the attached sheet that fails and also show that how it fails. a) The set of all polynomials of degree four or less. b) The set of all 2 x 2 singular matrices. c) The set {(x, y) : x ≥ 0, y is a real number}. d) C[0,1], the set of all continuous functions defined on the interval [0,1]. 7) Given u = (-2,1,1) and v = (4,2,0) are two vectors in R³-space. Find u xv and show that it is orthogonal to both u and v. 8) a) Find the equation of the least squares regression line for the data points below. (-2,0), (0,2), (2,2) b) Graph the points and the line that you found from a) on the same Cartesian coordinate plane.arrow_forward1. A consumer group claims that the mean annual consumption of cheddar cheese by a person in the United States is at most 10.3 pounds. A random sample of 100 people in the United States has a mean annual cheddar cheese consumption of 9.9 pounds. Assume the population standard deviation is 2.1 pounds. At a = 0.05, can you reject the claim? (Adapted from U.S. Department of Agriculture) State the hypotheses: Calculate the test statistic: Calculate the P-value: Conclusion (reject or fail to reject Ho): 2. The CEO of a manufacturing facility claims that the mean workday of the company's assembly line employees is less than 8.5 hours. A random sample of 25 of the company's assembly line employees has a mean workday of 8.2 hours. Assume the population standard deviation is 0.5 hour and the population is normally distributed. At a = 0.01, test the CEO's claim. State the hypotheses: Calculate the test statistic: Calculate the P-value: Conclusion (reject or fail to reject Ho): Statisticsarrow_forward
- Page < 1 of 2 - ZOOM + 1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix A. = [{² 1] A = b) Verify that PT AP gives the correct diagonal form. 2 01 -2 3 2) Given the following matrices A = -1 0 1] an and B = 0 1 -3 2 find the following matrices: a) (AB) b) (BA)T 3) Find the inverse of the following matrix A using Gauss-Jordan elimination or adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I). [1 1 1 A = 3 5 4 L3 6 5 4) Solve the following system of linear equations using any one of Cramer's Rule, Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and check the correctness of your answer. 4x-y-z=1 2x + 2y + 3z = 10 5x-2y-2z = -1 5) a) Describe the zero vector and the additive inverse of a vector in the vector space, M3,3. b) Determine if the following set S is a subspace of M3,3 with the standard operations. Show all appropriate supporting work.arrow_forwardFind the Laplace Transform of the function to express it in frequency domain form.arrow_forwardPlease draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?arrow_forward
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