Precalculus
11th Edition
ISBN: 9780135189405
Author: Michael Sullivan
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 13.3, Problem 72AYU
To determine
To find: What is the probability that at least 2 people in a group of 12 people have the same birthday?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
2. Consider the following:
Prove that x, x2, and 1/x are the solutions to the homogeneous equation
corresponding to x³y"" + x²y" + 2xy' + 2y = 2x4.
b. use variation of parameters to find a particular solution and complete the general
solution to the differential equation. I am interested in process. You may use a
computer for integration, finding determinants and doing Kramer's.
3. A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot
mechanism that has a damping constant of 0.25 lb-sec./ft. and is acted on by an external
force of 4 cos 2t lb.
a. Set-up the differential equation and initial value problem for the system.
b. Write the function in phase-amplitude form.
C.
Determine the transient solution to the system. Show your work.
d. Determine the steady state of this system. Show your work.
e.
Is the system underdamped, overdamped or critically damped? Explain what this
means for the system.
4. Suppose that you have a circuit with a resistance of 20, inductance of 14 H and a
capacitance of 11 F. An EMF with equation of E(t) = 6 cos 4t supplies a continuous charge
60
to the circuit. Suppose that the q(0)= 8 V and the q'(0)=7. Use this information to answer the
following questions
a. Find the function that models the charge of this circuit.
b. Is the circuit underdamped, overdamped or critically damped?
Chapter 13 Solutions
Precalculus
Ch. 13.1 - Prob. 1AYUCh. 13.1 - Prob. 2AYUCh. 13.1 - True or false The intersection of two sets is...Ch. 13.1 - Prob. 4AYUCh. 13.1 - Prob. 5AYUCh. 13.1 - Prob. 6AYUCh. 13.1 - True or False If a task consists of a sequence of...Ch. 13.1 - Prob. 8AYUCh. 13.1 - Prob. 9AYUCh. 13.1 - Prob. 10AYU
Ch. 13.1 - If n( A )=15 , n( B )=20 , and n( AB )=10 , find...Ch. 13.1 - If n( A )=30 , n( B )=40 , and n( AB )=45 , find...Ch. 13.1 - If n( AB )=50 , n( AB )=10 , and n( B )=20 , find...Ch. 13.1 - If n( AB )=60 , n( AB )=40 , and n( A )=n( B ) ,...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - In Problems 15-22, use ihe information given in...Ch. 13.1 - A man has shirts and ties. How many different...Ch. 13.1 - Blouses and Skirts A woman has 5 blouses and 8...Ch. 13.1 - Four-digit Numbers How many four-digit numbers can...Ch. 13.1 - Five-digit Numbers How many five-digit numbers can...Ch. 13.1 - Analyzing Survey Data In a consumer survey of ...Ch. 13.1 - Analyzing Survey Data In a student survey, 200...Ch. 13.1 - Analyzing Survey Data In a survey of 100 investors...Ch. 13.1 - Classifying Blood Types Human blood is classified...Ch. 13.1 - Demographics The following data represent the...Ch. 13.1 - Demographics The following data represent the...Ch. 13.1 - Stock Portfolios As a financial planner, you are...Ch. 13.1 - Prob. 34AYUCh. 13.1 - Prob. 36AYUCh. 13.1 - Prob. 37AYUCh. 13.1 - Prob. 38AYUCh. 13.1 - Prob. 39AYUCh. 13.1 - Prob. 40AYUCh. 13.1 - Prob. 41AYUCh. 13.1 - Prob. 42AYUCh. 13.1 - Determine whether the infinite series converges or...Ch. 13.1 - If f(x)=23(x2)13+13(x2)23, find where f(x)=0 f(x)...Ch. 13.1 - Find the partial fraction decomposition:...Ch. 13.2 - 0!= ; 1!= . (p. 642)Ch. 13.2 - Prob. 2AYUCh. 13.2 - A(n) __________ is an ordered arrangement of r...Ch. 13.2 - A(n) ___________ is an arrangement of r objects...Ch. 13.2 - P( n,r )= __________________.Ch. 13.2 - C( n,r )= _______________________.Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 7-14, find the value of each...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - In Problems 15-22, use formula (2) to find the...Ch. 13.2 - List all the ordered arrangements of 5 objects a ,...Ch. 13.2 - List all the ordered arrangements of 5 objects a ,...Ch. 13.2 - List all the ordered arrangements of 4 objects 1,...Ch. 13.2 - List all the ordered arrangements of 6 objects 1,...Ch. 13.2 - List all the combinations of 5 objects a , b , c ,...Ch. 13.2 - List all the combinationss of 5 objects a , b , c...Ch. 13.2 - List all the combinations of 4 objects 1, 2, 3,...Ch. 13.2 - List all the combinationss of 6 objects 1, 2, 3,...Ch. 13.2 - Forming Codes How many two-letter codes can be...Ch. 13.2 - Forming Codes How many two-letter codes can be...Ch. 13.2 - Forming Numbers How many three-digit numbers can...Ch. 13.2 - Forming Numbers How many three-digit numbers can...Ch. 13.2 - Lining People Up In how many ways can 4 people be...Ch. 13.2 - Stacking Boxes In how many ways can 5 different...Ch. 13.2 - Forming Codes How many different three-letter...Ch. 13.2 - Forming Codes How many different four-letter codes...Ch. 13.2 - Stocks on the NYSE Companies whose stocks are...Ch. 13.2 - Stocks on the NASDAQ Companies whose stocks are...Ch. 13.2 - Establishing Committees In how many ways can a...Ch. 13.2 - Establishing Committees In how many ways can a...Ch. 13.2 - Possible Answers on a True/False Test How many...Ch. 13.2 - Possible Answers on a Multiple-choice Test How...Ch. 13.2 - Arranging Books Five different mathematics books...Ch. 13.2 - Prob. 46AYUCh. 13.2 - Birthday Problem In how many ways can 2 people...Ch. 13.2 - Prob. 48AYUCh. 13.2 - Prob. 49AYUCh. 13.2 - Prob. 50AYUCh. 13.2 - Forming Words How many different 9-letter words...Ch. 13.2 - Prob. 52AYUCh. 13.2 - Selecting Objects An urn contains 7 white balls...Ch. 13.2 - Prob. 54AYUCh. 13.2 - Prob. 55AYUCh. 13.2 - Prob. 56AYUCh. 13.2 - Prob. 57AYUCh. 13.2 - Prob. 58AYUCh. 13.2 - Prob. 59AYUCh. 13.2 - Prob. 60AYUCh. 13.2 - Prob. 61AYUCh. 13.2 - Prob. 62AYUCh. 13.2 - Combination Locks A combination lock displays 50...Ch. 13.2 - Challenge Problem Passwords Suppose a password...Ch. 13.2 - Prob. 65AYUCh. 13.2 - Prob. 66AYUCh. 13.2 - Prob. 67AYUCh. 13.2 - Problems 67-70 are based on material learned...Ch. 13.2 - Prob. 69AYUCh. 13.2 - Prob. 70AYUCh. 13.2 - Prob. 71AYUCh. 13.2 - Prob. 72AYUCh. 13.2 - Prob. 73AYUCh. 13.2 - Prob. 74AYUCh. 13.2 - Prob. 75AYUCh. 13.2 - Find the partial fraction decomposition:...Ch. 13.2 - Prob. 77AYUCh. 13.3 - When the same probability is assigned to each...Ch. 13.3 - Prob. 2AYUCh. 13.3 - Prob. 3AYUCh. 13.3 - Prob. 4AYUCh. 13.3 - In a probability model, which of the following...Ch. 13.3 - Prob. 6AYUCh. 13.3 - Determine whether the following is a probability...Ch. 13.3 - Prob. 8AYUCh. 13.3 - Prob. 9AYUCh. 13.3 - Prob. 10AYUCh. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - Prob. 14AYUCh. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 11-16, construct a probability model...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 17-22, use the following spinners to...Ch. 13.3 - In Problems 23-26, consider the experiment of...Ch. 13.3 - In Problems 23-26, consider the experiment of...Ch. 13.3 - Prob. 25AYUCh. 13.3 - Prob. 26AYUCh. 13.3 - Assigning Probabilities A coin is weighted so that...Ch. 13.3 - Assigning Probabilities A coin is weighted so that...Ch. 13.3 - Assigning Probabilities A die is weighted so that...Ch. 13.3 - Assigning Probabilities A die is weighted so that...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 31-34, the sample space is S={...Ch. 13.3 - For Problems 35 and 36, an urn contains 5 white...Ch. 13.3 - For Problems 35 and 36, an urn contains 5 white...Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - In Problems 37-40, assume equally likely outcomes....Ch. 13.3 - Prob. 41AYUCh. 13.3 - Prob. 42AYUCh. 13.3 - Prob. 43AYUCh. 13.3 - Prob. 45AYUCh. 13.3 - In Problems 45-48, find the probability of the...Ch. 13.3 - Prob. 47AYUCh. 13.3 - Prob. 48AYUCh. 13.3 - Prob. 49AYUCh. 13.3 - Prob. 50AYUCh. 13.3 - Automobile Theft According to the Insurance...Ch. 13.3 - Prob. 52AYUCh. 13.3 - Cat Ownership According to the American Pet...Ch. 13.3 - Doctorate Degrees According to the National...Ch. 13.3 - Prob. 55AYUCh. 13.3 - For Problems 57-60, a golf ball is selected at...Ch. 13.3 - Prob. 57AYUCh. 13.3 - Prob. 58AYUCh. 13.3 - Prob. 59AYUCh. 13.3 - Prob. 60AYUCh. 13.3 - Prob. 61AYUCh. 13.3 - Prob. 62AYUCh. 13.3 - Prob. 63AYUCh. 13.3 - Prob. 64AYUCh. 13.3 - Prob. 65AYUCh. 13.3 - Prob. 66AYUCh. 13.3 - Surveys In a survey about the number of TV sets in...Ch. 13.3 - Prob. 68AYUCh. 13.3 - Prob. 69AYUCh. 13.3 - Prob. 70AYUCh. 13.3 - Prob. 71AYUCh. 13.3 - Prob. 72AYUCh. 13.3 - Prob. 73AYUCh. 13.3 - Challenge Problem If 3 six-sided dice are tossed,...Ch. 13.3 - To graph g( x )=E| x+2 |3 , shift the graph of f(...Ch. 13.3 - Prob. 76AYUCh. 13.3 - Prob. 77AYUCh. 13.3 - Prob. 78AYUCh. 13.3 - Prob. 79AYUCh. 13.3 - Prob. 80AYUCh. 13.3 - Problems 75-84 are based on material learned...Ch. 13.3 - Prob. 82AYUCh. 13.3 - Problems 75-84 are based on material learned...Ch. 13.3 - Problems 75-84 are based on material learned...Ch. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Baseball On a given day, the American Baseball...Ch. 13 - Choosing Seats If 4 people enter a bus that has 9...Ch. 13 - Choosing a Team In how many ways can a squad of 4...Ch. 13 - Baseball In how many ways can 2 teams from 14...Ch. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Arranging Flags How many different vertical...Ch. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Unemployment According to the U.S. Bureau of Labor...Ch. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 1CTCh. 13 - In Problems, a survey of college freshmen asked...Ch. 13 - In Problems 14, a survey of 70college freshmen...Ch. 13 - In Problems 14, a survey of 70college freshmen...Ch. 13 - Prob. 5CTCh. 13 - Prob. 6CTCh. 13 - Prob. 7CTCh. 13 - MMs offers customers the opportunity to create...Ch. 13 - Prob. 9CTCh. 13 - Prob. 10CTCh. 13 - On February 20, 2004, the Ohio Bureau of Motor...Ch. 13 - Kiersten applies for admission to the University...Ch. 13 - A cooler contains 8 bottles of Pepsi, 5 bottles of...Ch. 13 - Prob. 14CTCh. 13 - Prob. 15CTCh. 13 - Prob. 16CTCh. 13 - Prob. 1CRCh. 13 - Prob. 2CRCh. 13 - Prob. 3CRCh. 13 - Prob. 4CRCh. 13 - Prob. 5CRCh. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CRCh. 13 - Prob. 9CRCh. 13 - Prob. 10CRCh. 13 - Graph: y=3sin(2x+)Ch. 13 - Prob. 12CR
Additional Math Textbook Solutions
Find more solutions based on key concepts
A categorical variable has three categories, with the following frequencies of occurrence: a. Compute the perce...
Basic Business Statistics, Student Value Edition
CHECK POINT 1 In a survey on musical tastes, respondents were asked: Do you listed to classical music? Do you l...
Thinking Mathematically (6th Edition)
In Exercises 9-22, change the Cartesian integral into an equivalent polar integral. Then evaluate the polar int...
University Calculus: Early Transcendentals (4th Edition)
Surfing College students and surfers Rex Robinson and Sandy Hudson collected data on the self-reported numbers ...
Introductory Statistics
Interpreting a P-Value In Exercises 3–8, the P-value for a hypothesis test is shown. Use the P-value to decide ...
Elementary Statistics: Picturing the World (7th Edition)
Testing for a Linear Correlation. In Exercises 13-28, construct a scatterplot, and find the value of the linear...
Elementary Statistics (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- 1. Solve the initial value problem: y" -11y' + 30y = x³e6x y(0) 11, y'(0) = 36 =arrow_forwardWhat is the particular solution to the differential equation y′′ + y = 1/cos t ?arrow_forwardWhich of the following is the general solution to y′′ + 4y = e^2t + 12 sin(2t) ?A. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t − 3t cos(2t)B. y(t) = c1e^2t + c2e^−2t + 1/4 te^2t − 3t cos(2t)C. y(t) = c1 + c2e^−4t + 1/12 te^2t − 3t cos(2t)D. y(t) = c1 cos(2t) + c2 sin(2t) + 1/8 e^2t + 3 sin(2t)E. None of the above. Please include all steps! Thank you!arrow_forward
- Show that i cote +1 = cosec 20 tan 20+1 = sec² O २ cos² + sin 20 = 1 using pythagon's theoremarrow_forwardFind the general solution to the differential equationarrow_forwardcharity savings Budget for May travel food Peter earned $700 during May. The graph shows how the money was used. What fraction was clothes? O Search Submit clothes leisurearrow_forward
- Exercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution that corresponds to y(0) = −2 (b) Find the constant solution (c) For what initial conditions y(0) is the solution increasing? (d) For what initial conditions y(0) is the solution decreasing? (e) Verify these results using only the differential equation y' = 4y+4.arrow_forwardAphids are discovered in a pear orchard. The Department of Agriculture has determined that the population of aphids t hours after the orchard has been sprayed is approximated by N(t)=1800−3tln(0.17t)+t where 0<t≤1000. Step 1 of 2: Find N(63). Round to the nearest whole number.arrow_forward3. [-/3 Points] DETAILS MY NOTES SCALCET8 7.4.032. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral. X + 4x + 13 Need Help? Read It SUBMIT ANSWER dxarrow_forward
- Evaluate the limit, and show your answer to 4 decimals if necessary. Iz² - y²z lim (x,y,z)>(9,6,4) xyz 1 -arrow_forwardlim (x,y) (1,1) 16x18 - 16y18 429-4y⁹arrow_forwardEvaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: lim xy+y³ (x,y)(0,0) x²+ y² Along the path = = 0: Along the path y = = 0: Along the path y = 2x:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License