Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
11th Edition
ISBN: 9780134765785
Author: Hal Saunders
Publisher: PEARSON
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Chapter 3, Problem 9DPS
To determine
To write: The number
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Find all solutions for v when v5 - 3q = 0.
How would i solve this. More info is that b =1 but it might be better to solve this before making the substitution
Let m(t) be a continuous function with a domain of all real numbers. The table below shows some of the values of m(t) .
Assume the characteristics of this function are represented in the table.
t
-3 -2 8 11
12
m(t) -7 6
3
-9
0
(a) The point (-3, -7) is on the graph of m(t). Find the corresponding point on the graph of the transformation y = -m(t) + 17.
(b) The point (8, 3) is on the graph of m(t). Find the corresponding point on the graph of the transformation y =
-m (−t) .
24
(c) Find f(12), if we know that f(t) = |m (t − 1)|
f(12) =
Chapter 3 Solutions
Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
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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- West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls x 10 f(x) .05 20 30 .10 .10 40 .20 50 60 .35 .20 a. Is this probability distribution valid? - Select your answer- Explain. f(x) Σf(x) Select your answer Select your answer b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per yeararrow_forwardFor unemployed persons in the United States, the average number of months of unemployment at the end of December 2009 was approximately seven months (Bureau of Labor Statistics, January 2010). Suppose the following data are for a particular region in upstate New York. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Months Unemployed Number Unemployed 1 1029 2 1686 3 2269 4 2675 5 3487 6 4652 7 4145 8 3587 9 2325 10 1120 Let x be a random variable indicating the number of months a person is unemployed. a. Use the data to develop an empirical discrete probability distribution for x (to 4 decimals). (x) f(x) 1 2 3 4 5 6 7 8 9 10 b. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. c. What is the probability that a person…arrow_forwardIn 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 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 4 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…arrow_forward
- rounded to two decimal places at each calculationarrow_forwardIn 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…arrow_forwardA 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?arrow_forward
- 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)?arrow_forwardA 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. 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?arrow_forwardWest Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 people (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x = the number of new clients for marriage counseling for the next year. Excel File: data05-19.xls 10 20 f(x) .05 .10 11 30 40 50 60 .10 .20 .35 .20 a. Is this probability distribution valid? Yes Explain. greater than or equal to 0 f(x) Σf(x) equal to 1 b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)? c. What is the probability MCC will obtain fewer than 20 new clients (to 2 decimals)? d. Compute the expected value and variance of x. Expected value Variance clients per year squared clients per yeararrow_forward
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