Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
11th Edition
ISBN: 9781285464657
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter 1.4, Problem 30E
To determine
To find:
The equilibrium quantity and the equilibrium price for the Wilkinson washable keyboards.
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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 1 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
Ch. 1.1 - What can you say about the signs of a and b if the...Ch. 1.1 - Refer to the accompanying figure. a. Given the...Ch. 1.1 - Prob. 1ECh. 1.1 - Prob. 2ECh. 1.1 - Prob. 3ECh. 1.1 - Prob. 4ECh. 1.1 - Prob. 5ECh. 1.1 - Prob. 6ECh. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 8E
Ch. 1.1 - Prob. 9ECh. 1.1 - Prob. 10ECh. 1.1 - Prob. 11ECh. 1.1 - In Exercises 712, refer to the accompanying...Ch. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - Prob. 15ECh. 1.1 - Prob. 16ECh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - Prob. 19ECh. 1.1 - Prob. 20ECh. 1.1 - Prob. 21ECh. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - In Exercises 2124, find the distance between the...Ch. 1.1 - Prob. 24ECh. 1.1 - Find the coordinates of the points that are 10...Ch. 1.1 - Find the coordinates of the points that are 5...Ch. 1.1 - Show that the points (3,4), (3,7), (6,1) and (0,2)...Ch. 1.1 - Show that the triangle with vertices (5,2), (2,5),...Ch. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - TRACKING A CRIMINAL WITH GPS After obtaining a...Ch. 1.1 - PLANNING A GRAND TOUR A grand tour of four cities...Ch. 1.1 - WILL YOU INCUR A DELIVERY CHARGE? A furniture...Ch. 1.1 - OPTIMIZING TRAVEL TIME Towns A, B, C, and D are...Ch. 1.1 - MINIMIZING SHIPPING COSTS FOR A FLEET OF AUTOS...Ch. 1.1 - Prob. 40ECh. 1.1 - PURCHASING AN HDTV ANTENNA Will Barclay wishes to...Ch. 1.1 - DISTANCE BETWEEN TWO CRUISE SHIPS Two cruise ships...Ch. 1.1 - DISTANCE BETWEEN TWO CARGO SHIPS Sailing north at...Ch. 1.1 - WATHING A ROCKET LAUNCH At a distance of 4000 ft...Ch. 1.1 - a. Show that the midpoint of the line segment...Ch. 1.1 - A SCAVENGER HUNT A tree is located 20 yd to the...Ch. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Let (x1,y1) and (x2,y2) be two points lying in the...Ch. 1.1 - In the Cartesian coordinate system, the two axes...Ch. 1.2 - What is the slope of a nonvertical line? What can...Ch. 1.2 - Give a point-slope form, b the slope-intercept...Ch. 1.2 - Prob. 3CQCh. 1.2 - Prob. 4CQCh. 1.2 - Prob. 1ECh. 1.2 - In Exercises 14, find the slope of the line shown...Ch. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - For Exercises 510, find the slope of the line that...Ch. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - In Exercise 5-10, find the slope of the line that...Ch. 1.2 - Prob. 11ECh. 1.2 - Given the equation 2x+3y=4, answer the following...Ch. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - In Exercises 19 and 20, determine whether the...Ch. 1.2 - Prob. 20ECh. 1.2 - If the line passing through the points (1,a) and...Ch. 1.2 - If the line passing through the points (a,1) and...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - In Exercises 2326, find an equation of the line...Ch. 1.2 - Prob. 26ECh. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 28ECh. 1.2 - In Exercises 2730, find an equation of the line...Ch. 1.2 - Prob. 30ECh. 1.2 - In Exercises 31 and 32, determine whether the...Ch. 1.2 - Prob. 32ECh. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 34ECh. 1.2 - In Exercises 3336, find an equation of line that...Ch. 1.2 - Prob. 36ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 38ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 40ECh. 1.2 - In Exercise 3742, write the equation in the...Ch. 1.2 - Prob. 42ECh. 1.2 - Find an equation of the horizontal line that...Ch. 1.2 - Find an equation of the vertical line that passes...Ch. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - Find an equation of the line that passes through...Ch. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 - In Exercises 5156, find an equation of the line...Ch. 1.2 - Prob. 54ECh. 1.2 - In Exercises 51-56, find an equation of the line...Ch. 1.2 - Prob. 56ECh. 1.2 - Given that the point P(3,5) lies on the line...Ch. 1.2 - Prob. 58ECh. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 60ECh. 1.2 - In Exercises 5964, sketch the straight line...Ch. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Prob. 64ECh. 1.2 - Prob. 65ECh. 1.2 - Prob. 66ECh. 1.2 - Prob. 67ECh. 1.2 - Prob. 68ECh. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - John claims that the following points lie on a...Ch. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - NUCLEAR PLANT UTILIZATION The United States is not...Ch. 1.2 - Prob. 76ECh. 1.2 - COLLEGE ADMISSIONS Using data compiled by the...Ch. 1.2 - WEIGHT OF WHALES The equation W=3.51L192,...Ch. 1.2 - Prob. 79ECh. 1.2 - DECLINING NUMBER OF PAY PHONES As cell phones...Ch. 1.2 - Prob. 81ECh. 1.2 - IDEAL HEIGHTS AND WEIGHTS FOR WOMEN The Venus...Ch. 1.2 - Prob. 83ECh. 1.2 - CORPORATE FRAUD The number of pending corporate...Ch. 1.2 - Prob. 85ECh. 1.2 - Prob. 86ECh. 1.2 - Is there a difference between the statements "The...Ch. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.2 - Prob. 91ECh. 1.2 - Prob. 92ECh. 1.2 - Prob. 93ECh. 1.2 - Prob. 94ECh. 1.2 - Prob. 95ECh. 1.2 - Prove that if a line L1 with slope m1 is...Ch. 1.2 - Prob. 1TECh. 1.2 - Prob. 2TECh. 1.2 - Prob. 3TECh. 1.2 - Prob. 4TECh. 1.2 - Prob. 5TECh. 1.2 - Prob. 6TECh. 1.2 - Prob. 7TECh. 1.2 - Prob. 8TECh. 1.2 - Prob. 9TECh. 1.2 - Prob. 10TECh. 1.2 - Prob. 11TECh. 1.2 - Prob. 12TECh. 1.3 - a. What is a function? Give an example. b. What is...Ch. 1.3 - What is the general form of a linear cost...Ch. 1.3 - Is the slope of a linear demand curve positive or...Ch. 1.3 - The value of an investment in dollars after t...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - Prob. 4ECh. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - Prob. 6ECh. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - In Exercises 110, determine whether the equation...Ch. 1.3 - A manufacturer has a monthly fixed cost of 40,000...Ch. 1.3 - A manufacturer has a monthly fixed cost of 10,000...Ch. 1.3 - Find the constants m and b in the linear function...Ch. 1.3 - Find the constants m and b in the linear function...Ch. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - CONSUMPTION FUNCTIONS A certain economys...Ch. 1.3 - SALES TAX In a certain state, the sales tax T on...Ch. 1.3 - SOCIAL SECURITY COLAs Social Security recipients...Ch. 1.3 - PROFIT FUNCTION FOR DIGITAL TIMERS Auto Time, a...Ch. 1.3 - PROFIT FUNCTION FOR LIGHT BULBS The management of...Ch. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - LINEAR DEPRECIATION Suppose an asset has an...Ch. 1.3 - LINEAR DEPRECIATION OF AN OFFICE BUILDING Rework...Ch. 1.3 - Prob. 26ECh. 1.3 - DRUG DOSAGES FOR CHILDREN A method sometime used...Ch. 1.3 - DRUG DOSAGES FOR CHILDREN Cowlings Rule is a...Ch. 1.3 - DRINKING AND DRIVING AMONG HIGH SCHOOL STUDENTS...Ch. 1.3 - CALIFORNIA EMISSIONS CAPS The California emissions...Ch. 1.3 - Prob. 31ECh. 1.3 - U.S. AIRPLANE PASSENGER PROJECTIONS In a report...Ch. 1.3 - CELSIUS AND FAHRENHEIT TEMPERATURES The...Ch. 1.3 - CRICKET CHIRPING AND TEMPERATURE Entomologists...Ch. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - DEMAND FUNCTION FOR A COMMODITY At a unit price...Ch. 1.3 - Prob. 40ECh. 1.3 - DEMAND FUNCTION FOR A COMMODITY Assume that a...Ch. 1.3 - DEMAND FUNCTION FOR A SPORTS WATCH The demand...Ch. 1.3 - Prob. 43ECh. 1.3 - Prob. 44ECh. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3 - SUPPLY FUNCTION FOR A DIGITAL RECORDER Suppliers...Ch. 1.3 - SUPPLY FUNCTION FOR A REFRIGERATOR Producers of a...Ch. 1.3 - DEMAND FOR WIRELESS LOUDSPEAKERS The demand...Ch. 1.3 - DEMAND FORWASHABLE COMPUTER KEYBOARDS The demand...Ch. 1.3 - Prob. 51ECh. 1.3 - Prob. 52ECh. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Prob. 1TECh. 1.3 - Prob. 2TECh. 1.3 - Prob. 3TECh. 1.3 - Prob. 4TECh. 1.3 - Prob. 5TECh. 1.3 - Prob. 6TECh. 1.3 - Prob. 7TECh. 1.3 - Prob. 8TECh. 1.4 - Explain why you would expect that the intersection...Ch. 1.4 - In the accompanying figure, C(x) is the cost...Ch. 1.4 - The accompanying figure gives the demand curve and...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 1-6, find the point of intersection...Ch. 1.4 - In Exercises 16, find the point of intersection of...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - In Exercises 710, find the break-even point for...Ch. 1.4 - BREAK-EVEN ANALYSIS Auto Time, a manufacturer of...Ch. 1.4 - BREAK-EVEN ANALYSIS A division of Carter...Ch. 1.4 - BREAK-EVEN ANALYSIS A division of the Gibson...Ch. 1.4 - LEASING A TRUCK Ace Truck Leasing Company leases a...Ch. 1.4 - DECISION ANALYSIS A product may be made by using...Ch. 1.4 - ANNUAL SALES OF TWO PHARMACIES The annual sales of...Ch. 1.4 - LCDs VERSUS CRTs The global shipments of...Ch. 1.4 - DIGITAL VERSUS FILM CAMERAS The sales of digital...Ch. 1.4 - U.S. FINANCIAL TRANSACTIONS The percentage of U.S....Ch. 1.4 - BROADBAND VERSUS DIAL-UP The number of U.S....Ch. 1.4 - Prob. 21ECh. 1.4 - For each pair of supply-and-demand equations in...Ch. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR DVD PLAYERS The...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR GPS NAVIGATORS...Ch. 1.4 - 27. EQUILIBRIUM QUANTITY AND PRICE FOR TABLET...Ch. 1.4 - 28. EQUILIBRIUM QUANTITY AND PRICE FOR ESPRESSO...Ch. 1.4 - EQUILIBRIUM QUANTITY AND PRICE FOR WIRELESS...Ch. 1.4 - Prob. 30ECh. 1.4 - Suppose the demand and supply equations for a...Ch. 1.4 - Suppose the cost function associated with a...Ch. 1.4 - In Exercises 33 and 34, determine whether the...Ch. 1.4 - Prob. 34ECh. 1.4 - Let L1 and L2 be two nonvertical straight lines in...Ch. 1.4 - Prob. 36ECh. 1.4 - Prob. 1TECh. 1.4 - Prob. 2TECh. 1.4 - Prob. 3TECh. 1.4 - Prob. 4TECh. 1.4 - Prob. 5TECh. 1.4 - Prob. 6TECh. 1.4 - Prob. 7TECh. 1.4 - BREAK-EVEN ANALYSIS The Monde Company makes a wine...Ch. 1.4 - Prob. 9TECh. 1.4 - Prob. 10TECh. 1.4 - Prob. 11TECh. 1.4 - Prob. 12TECh. 1.5 - Explain the terms (a) scatter diagram (b)...Ch. 1.5 - Prob. 2CQCh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - In Exercises 16, a find the equation of the least...Ch. 1.5 - COLLEGE ADMISSIONS The accompanying data were...Ch. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Prob. 21ECh. 1.5 - Prob. 22ECh. 1.5 - BOUNCED-CHECK CHARGES Overdraft fees have become...Ch. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - Prob. 1TECh. 1.5 - Prob. 2TECh. 1.5 - Prob. 3TECh. 1.5 - Prob. 4TECh. 1.5 - Prob. 5TECh. 1.5 - Prob. 6TECh. 1.5 - Prob. 7TECh. 1.5 - Prob. 8TECh. 1.5 - Prob. 9TECh. 1.5 - Prob. 10TECh. 1.CRQ - Prob. 1CRQCh. 1.CRQ - Prob. 2CRQCh. 1.CRQ - Prob. 3CRQCh. 1.CRQ - Prob. 4CRQCh. 1.CRQ - Prob. 5CRQCh. 1.CRQ - Prob. 6CRQCh. 1.CRQ - Prob. 7CRQCh. 1.CRQ - Prob. 8CRQCh. 1.CRQ - Prob. 9CRQCh. 1.CRQ - Prob. 10CRQCh. 1.CRQ - Prob. 11CRQCh. 1.CRQ - Prob. 12CRQCh. 1.CRE - Prob. 1CRECh. 1.CRE - Prob. 2CRECh. 1.CRE - Prob. 3CRECh. 1.CRE - Prob. 4CRECh. 1.CRE - Prob. 5CRECh. 1.CRE - Prob. 6CRECh. 1.CRE - Prob. 7CRECh. 1.CRE - Prob. 8CRECh. 1.CRE - Prob. 9CRECh. 1.CRE - Prob. 10CRECh. 1.CRE - Prob. 11CRECh. 1.CRE - Prob. 12CRECh. 1.CRE - Prob. 13CRECh. 1.CRE - Prob. 14CRECh. 1.CRE - Prob. 15CRECh. 1.CRE - Prob. 16CRECh. 1.CRE - Prob. 17CRECh. 1.CRE - Prob. 18CRECh. 1.CRE - Prob. 19CRECh. 1.CRE - Prob. 20CRECh. 1.CRE - Prob. 21CRECh. 1.CRE - Prob. 22CRECh. 1.CRE - Prob. 23CRECh. 1.CRE - Prob. 24CRECh. 1.CRE - Prob. 25CRECh. 1.CRE - Prob. 26CRECh. 1.CRE - PROFIT FUNCTION FOR DISPOSABLE CAMERAS A company...Ch. 1.CRE - Prob. 28CRECh. 1.CRE - Prob. 29CRECh. 1.CRE - Prob. 30CRECh. 1.CRE - SUPPLY EQUATION FOR BYCYCLES Bicycle suppliers...Ch. 1.CRE - DEMAND FOR EARBUD HEADPHONES The demand equation...Ch. 1.CRE - Prob. 33CRECh. 1.CRE - Prob. 34CRECh. 1.CRE - Prob. 35CRECh. 1.CRE - Prob. 36CRECh. 1.CRE - Prob. 37CRECh. 1.CRE - Prob. 38CRECh. 1.CRE - MARKET EQUILIBRIUM FOR REFRIGERATORS The demand...Ch. 1.CRE - Prob. 40CRECh. 1.CRE - EQUILIBRIUM QUANTITY AND PRICE FOR EARBUD...Ch. 1.CRE - Prob. 42CRECh. 1.BMO - Plot the points A(2,1) and B(3,4) on the same set...Ch. 1.BMO - Prob. 2BMOCh. 1.BMO - Prob. 3BMOCh. 1.BMO - Prob. 4BMOCh. 1.BMO - Prob. 5BMOCh. 1.BMO - Prob. 6BMO
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