Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134506470
Author: Pirnot
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.2, Problem 33E
Exercises 33 and 34 are alternative versions of the question posed in Example 6 about the seating of Louise and her tutor in Professor Bartlett’s class.
Counting seating arrangements. Assume that there are 12 students in the class, the front row has eight chairs, and the tutor, who is also a member of the class, must be seated next to Louise.
a. In how many ways can we choose the seats for Louise and her tutor?
b. In how many ways can we seat Louise and her tutor in those two seats?
c. In how many ways can we fill the remaining six seats?
d. In how many total ways can we seat students in the first row?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Customers experiencing technical difficulty with their Internet cable service may call an 800 number for technical support. It takes the technician between 30 seconds and 11 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.
Required:
a. What are the values for a and b in minutes?
Note: Do not round your intermediate calculations. Round your answers to 1 decimal place.
b-1. What is the mean time to resolve the problem?
b-2. What is the standard deviation of the time?
c. What percent of the problems take more than 5 minutes to resolve?
d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times?
Exercise 6-6 (Algo) (LO6-3)
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
Admissions
Probability
1,100
0.5
1,400
0.4
1,300
0.1
Click here for the Excel Data File
Required:
What is the expected number of admissions for the fall semester?
Compute the variance and the standard deviation of the number of admissions.
Note: Round your standard deviation to 2 decimal places.
Put these pieces into a cube
Chapter 12 Solutions
Mathematics All Around (6th Edition)
Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - How many different two-digit numbers can you form...Ch. 12.1 - How many different two-digit numbers can you form...
Ch. 12.1 - How many different three-digit numbers can you...Ch. 12.1 - How many different three-digit numbers can you...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - Recall in Example 6 that you are creating outfits...Ch. 12.1 - Recall in Example 6 that you are creating outfits...Ch. 12.1 - Use the given diagram to solve Exercises 21 and...Ch. 12.1 - Use the given diagram to solve Exercises 21 and...Ch. 12.1 - Answer Exercise 21 assuming the diagram has six...Ch. 12.1 - Prob. 24ECh. 12.1 - Assigning tasks. Stefans friends Amika, Pam, Li,...Ch. 12.1 - Making staff assignments. Suppose that the staff...Ch. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - The role-playing game Dungeons & Dragons uses a...Ch. 12.1 - Dungeons & Dragons also uses 12-sided dice. How...Ch. 12.1 - Counting license plates. An eyewitness to a crime...Ch. 12.1 - Counting license plates. In a small state, the...Ch. 12.1 - For Exercises 33 and 34, use the figures below....Ch. 12.1 - For Exercises 33 and 34, use the figures below....Ch. 12.1 - Prince William and Duchess Kate are attending the...Ch. 12.1 - Prince William and Duchess Kate are attending the...Ch. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - Stacking cans. In preparation for Thanksgiving...Ch. 12.1 - Prob. 40ECh. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - Prob. 45ECh. 12.1 - Prob. 46ECh. 12.1 - Prob. 47ECh. 12.1 - Prob. 49ECh. 12.1 - Prob. 50ECh. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.1 - Prob. 53ECh. 12.1 - Prob. 54ECh. 12.1 - Prob. 55ECh. 12.1 - Prob. 56ECh. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Prob. 59ECh. 12.2 - Assigning responsibilities. The board of an...Ch. 12.2 - Assigning positions. If there are 12 members on...Ch. 12.2 - Assigning officers. The Equestrian Club has eight...Ch. 12.2 - Assigning officers. If the Chamber of Commerce has...Ch. 12.2 - Choosing a stand up paddle board package. Kevin...Ch. 12.2 - Counting schedules. Jorge is using his educational...Ch. 12.2 - Counting meal possibilities. The early bird...Ch. 12.2 - Prob. 8ECh. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In Exercises 1316, using the digits 0,1,2,...,8,9,...Ch. 12.2 - In Exercises 1316, using the digits 0,1,2,...,8,9,...Ch. 12.2 - In Exercises 1316, using the digits 0,1,2,...,8,9,...Ch. 12.2 - Prob. 16ECh. 12.2 - A truefalse quiz. In how many ways can you choose...Ch. 12.2 - A multiple-choice test. In how many ways can you...Ch. 12.2 - Planning a trip. Center City Community Colleges...Ch. 12.2 - A piano competition. In the Van Cliburn piano...Ch. 12.2 - Enumerating call letters. Radio stations in the...Ch. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Counting license plates. In a certain state,...Ch. 12.2 - A pin tumbler lock has a series of pins, each of...Ch. 12.2 - A pin tumbler lock has a series of pins, each of...Ch. 12.2 - Counting routes for an armored van. A Wells Fargo...Ch. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Facial arrangements. A website enables you to...Ch. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Exercises 33 and 34 are alternative versions of...Ch. 12.2 - Prob. 34ECh. 12.2 - Prob. 35ECh. 12.2 - Assume that we wish to seat three men and three...Ch. 12.2 - Assume that we wish to seat three men and three...Ch. 12.2 - Assume that we wish to seat three men and three...Ch. 12.2 - In solving counting problems, it is often useful...Ch. 12.2 - What is the relationship between trees, slot...Ch. 12.2 - Prob. 41ECh. 12.2 - Prob. 42ECh. 12.2 - Prob. 43ECh. 12.2 - Prob. 44ECh. 12.2 - Prob. 45ECh. 12.2 - Prob. 46ECh. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.2 - Prob. 49ECh. 12.3 - In Exercises 112, calculate each value. 4!Ch. 12.3 - Prob. 2ECh. 12.3 - In Exercises 112, calculate each value. (85)!Ch. 12.3 - In Exercises 112, calculate each value. (105)!Ch. 12.3 - In Exercises 112, calculate each value. 107Ch. 12.3 - In Exercises 112, calculate each value. 119Ch. 12.3 - Prob. 7ECh. 12.3 - In Exercises 112, calculate each value. 1192Ch. 12.3 - In Exercises 112, calculate each value. P(6,2)Ch. 12.3 - In Exercises 112, calculate each value. P(5,3)Ch. 12.3 - In Exercises 112, calculate each value. C(10,3)Ch. 12.3 - In Exercises 112, calculate each value. C(4,4)Ch. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1922, find the number of...Ch. 12.3 - Prob. 20ECh. 12.3 - In Exercises 1922, find the number of...Ch. 12.3 - Prob. 22ECh. 12.3 - Find the eighth row in Pascals triangle.Ch. 12.3 - Find the tenth row in Pascals triangle.Ch. 12.3 - Use the seventh row of Pascals triangle to answer...Ch. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - In Exercises 2730, describe where each number is...Ch. 12.3 - Prob. 29ECh. 12.3 - In Exercises 2730, describe where each number is...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 32ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 34ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 36ECh. 12.3 - Prob. 37ECh. 12.3 - Prob. 38ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 42ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 4548, determine the number of ways to...Ch. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - In Exercise 49 and 50, determine why the given...Ch. 12.3 - Prob. 50ECh. 12.3 - Prob. 51ECh. 12.3 - A typical bingo card is shown in the figure. The...Ch. 12.3 - Prob. 53ECh. 12.3 - A typical bingo card is shown in the figure. The...Ch. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - Prob. 58ECh. 12.3 - Prob. 59ECh. 12.3 - Prob. 60ECh. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - Prob. 62ECh. 12.3 - Prob. 63ECh. 12.3 - Prob. 64ECh. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - Prob. 66ECh. 12.3 - Prob. 67ECh. 12.3 - Prob. 68ECh. 12.3 - Prob. 69ECh. 12.3 - Prob. 70ECh. 12.3 - Prob. 71ECh. 12.3 - Prob. 72ECh. 12.3 - Prob. 73ECh. 12.3 - Prob. 74ECh. 12.3 - Prob. 75ECh. 12.3 - Prob. 76ECh. 12.3 - Prob. 77ECh. 12.3 - Prob. 78ECh. 12.3 - Prob. 79ECh. 12.3 - Prob. 80ECh. 12.3 - Prob. 81ECh. 12.3 - Prob. 82ECh. 12.3 - Prob. 83ECh. 12.3 - Prob. 84ECh. 12.3 - Prob. 85ECh. 12.3 - Prob. 86ECh. 12.3 - Prob. 87ECh. 12.3 - Prob. 88ECh. 12.3 - Prob. 89ECh. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Prob. 5ECh. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Prob. 9ECh. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Prob. 13ECh. 12.4 - Why are we using combinations rather than...Ch. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Playing poker. How many poker hands are less in...Ch. 12.CR - Prob. 1CRCh. 12.CR - The game Dungeons & Dragons uses a tetrahedral die...Ch. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - You are going to serve gourmet cupcakes at your...Ch. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Prob. 16CRCh. 12.CR - Prob. 17CRCh. 12.CT - List all the ways you can select two different...Ch. 12.CT - Prob. 2CTCh. 12.CT - Prob. 3CTCh. 12.CT - Use the sixth row of Pascals triangle to find the...Ch. 12.CT - Prob. 5CTCh. 12.CT - Prob. 6CTCh. 12.CT - Prob. 7CTCh. 12.CT - Prob. 8CTCh. 12.CT - Prob. 9CTCh. 12.CT - Prob. 10CTCh. 12.CT - Prob. 11CTCh. 12.CT - Prob. 12CTCh. 12.CT - Write an equation that relates the expressions...Ch. 12.CT - Prob. 14CTCh. 12.CT - Prob. 15CTCh. 12.CT - Prob. 16CT
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Part iarrow_forwardPart iiarrow_forward2. In each case below, state whether the statement is true or false. Justify your answer in each case. (i) Suppose A and B are sets. Then, AnB = 6 ⇒ AUB = A (ii) Suppose A and B are sets. Then, AUB = B ⇒ ACB (iii) Suppose A and B are sets. Then, AUB = B ⇒ B C Aarrow_forward
- 5arrow_forwardNo chatgpt pls will upvotearrow_forward1. Find the mean of the x-values (x-bar) and the mean of the y-values (y-bar) and write/label each here: 2. Label the second row in the table using proper notation; then, complete the table. In the fifth and sixth columns, show the 'products' of what you're multiplying, as well as the answers. X y x minus x-bar y minus y-bar (x minus x-bar)(y minus y-bar) (x minus x-bar)^2 xy 16 20 34 4-2 5 2 3. Write the sums that represents Sxx and Sxy in the table, at the bottom of their respective columns. 4. Find the slope of the Regression line: bi = (simplify your answer) 5. Find the y-intercept of the Regression line, and then write the equation of the Regression line. Show your work. Then, BOX your final answer. Express your line as "y-hat equals...arrow_forward
- Apply STATA commands & submit the output for each question only when indicated below i. Generate the log of birthweight and family income of children. Name these new variables Ibwght & Ifaminc. Include the output of this code. ii. Apply the command sum with the detail option to the variable faminc. Note: you should find the 25th percentile value, the 50th percentile and the 75th percentile value of faminc from the output - you will need it to answer the next question Include the output of this code. iii. iv. Use the output from part ii of this question to Generate a variable called "high_faminc" that takes a value 1 if faminc is less than or equal to the 25th percentile, it takes the value 2 if faminc is greater than 25th percentile but less than or equal to the 50th percentile, it takes the value 3 if faminc is greater than 50th percentile but less than or equal to the 75th percentile, it takes the value 4 if faminc is greater than the 75th percentile. Include the outcome of this code…arrow_forwardsolve this on paperarrow_forwardFor each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2. f(x)=7x+13 3. f(x) = x4 4. f(x) = √√x³ 5. f(x) = 3x²+ 3 x2arrow_forward
- Apply STATA commands & submit the output for each question only when indicated below i. Apply the command egen to create a variable called "wyd" which is the rowtotal function on variables bwght & faminc. ii. Apply the list command for the first 10 observations to show that the code in part i worked. Include the outcome of this code iii. Apply the egen command to create a new variable called "bwghtsum" using the sum function on variable bwght by the variable high_faminc (Note: need to apply the bysort' statement) iv. Apply the "by high_faminc" statement to find the V. descriptive statistics of bwght and bwghtsum Include the output of this code. Why is there a difference between the standard deviations of bwght and bwghtsum from part iv of this question?arrow_forwardAccording to a health information website, the distribution of adults’ diastolic blood pressure (in millimeters of mercury, mmHg) can be modeled by a normal distribution with mean 70 mmHg and standard deviation 20 mmHg. b. Above what diastolic pressure would classify someone in the highest 1% of blood pressures? Show all calculations used.arrow_forwardWrite STATA codes which will generate the outcomes in the questions & submit the output for each question only when indicated below i. ii. iii. iv. V. Write a code which will allow STATA to go to your favorite folder to access your files. Load the birthweight1.dta dataset from your favorite folder and save it under a different filename to protect data integrity. Call the new dataset babywt.dta (make sure to use the replace option). Verify that it contains 2,998 observations and 8 variables. Include the output of this code. Are there missing observations for variable(s) for the variables called bwght, faminc, cigs? How would you know? (You may use more than one code to show your answer(s)) Include the output of your code (s). Write the definitions of these variables: bwght, faminc, male, white, motheduc,cigs; which of these variables are categorical? [Hint: use the labels of the variables & the browse command] Who is this dataset about? Who can use this dataset to answer what kind of…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Find number of persons in a part with 66 handshakes Combinations; Author: Anil Kumar;https://www.youtube.com/watch?v=33TgLi-wp3E;License: Standard YouTube License, CC-BY
Discrete Math 6.3.1 Permutations and Combinations; Author: Kimberly Brehm;https://www.youtube.com/watch?v=J1m9sB5XZQc;License: Standard YouTube License, CC-BY
How to use permutations and combinations; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=NEGxh_D7yKU;License: Standard YouTube License, CC-BY
Permutations and Combinations | Counting | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=0NAASclUm4k;License: Standard Youtube License
Permutations and Combinations Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=XJnIdRXUi7A;License: Standard YouTube License, CC-BY