MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
3rd Edition
ISBN: 9781259969690
Author: sobecki
Publisher: MCG
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Chapter 2.5, Problem 22E
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Chapter 2 Solutions
MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
Ch. 2.1 - Write the set of months that end with the letter...Ch. 2.1 - Write each set, using the roster method. (a) The...Ch. 2.1 - Decide whether each statement is true or false....Ch. 2.1 - Prob. 4TTOCh. 2.1 - Use set-builder notation to designate each set,...Ch. 2.1 - Prob. 6TTOCh. 2.1 - Using the roster method, write the set of odd...Ch. 2.1 - Prob. 8TTOCh. 2.1 - Find the cardinal number of each set. (a) A = {z,...Ch. 2.1 - Prob. 10TTO
Ch. 2.1 - Prob. 11TTOCh. 2.1 - Show that the sets {North, South, East, West} and...Ch. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - List and describe three ways to write sets.Ch. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Define the empty set and give two examples of an...Ch. 2.1 - Prob. 9ECh. 2.1 - For Exercises 922. write each set using the roster...Ch. 2.1 - For Exercises 922. write each set using the roster...Ch. 2.1 - For Exercises 922, write each set using the roster...Ch. 2.1 - For Exercises 922. write each set using the roster...Ch. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - For Exercises 922. write each set using the roster...Ch. 2.1 - Prob. 17ECh. 2.1 - For Exercises 922. write each set using the roster...Ch. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - For Exercises 2328, decide if the statement is...Ch. 2.1 - Prob. 24ECh. 2.1 - For Exercises 2328, decide if the statement is...Ch. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - For Exercises 2936, write each set, using the...Ch. 2.1 - For Exercises 2936, write each set, using the...Ch. 2.1 - For Exercises 2936, write each set, using the...Ch. 2.1 - For Exercises 2936, write each set, using the...Ch. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - For Exercises 4348, list the elements in each set....Ch. 2.1 - For Exercises 4348, list the elements in each set....Ch. 2.1 - For Exercises 4348, list the elements in each set....Ch. 2.1 - For Exercises 4348, list the elements in each set....Ch. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - For Exercises 4954, state whether each collection...Ch. 2.1 - Prob. 51ECh. 2.1 - Prob. 52ECh. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - Prob. 55ECh. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Prob. 58ECh. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.1 - For Exercises 6168, state whether each set is...Ch. 2.1 - For Exercises 6168, state whether each set is...Ch. 2.1 - Prob. 65ECh. 2.1 - Prob. 66ECh. 2.1 - Prob. 67ECh. 2.1 - For Exercises 6168, state whether each set is...Ch. 2.1 - For Exercises 6974, state whether each pair of...Ch. 2.1 - For Exercises 6974, state whether each pair of...Ch. 2.1 - Prob. 71ECh. 2.1 - For Exercises 6974, state whether each pair of...Ch. 2.1 - Prob. 73ECh. 2.1 - For Exercises 6974, state whether each pair of...Ch. 2.1 - For Exercises 7578, show that each pair of sets is...Ch. 2.1 - Prob. 76ECh. 2.1 - Prob. 77ECh. 2.1 - Prob. 78ECh. 2.1 - For Exercises 7986, find the cardinal number for...Ch. 2.1 - Prob. 80ECh. 2.1 - Prob. 81ECh. 2.1 - Prob. 82ECh. 2.1 - Prob. 83ECh. 2.1 - For Exercises 7986, find the cardinal number for...Ch. 2.1 - For Exercises 7986, find the cardinal number for...Ch. 2.1 - Prob. 86ECh. 2.1 - For Exercises 8792, determine whether each...Ch. 2.1 - For Exercises 8792, determine whether each...Ch. 2.1 - Prob. 89ECh. 2.1 - Prob. 90ECh. 2.1 - Prob. 91ECh. 2.1 - Prob. 92ECh. 2.1 - Prob. 93ECh. 2.1 - Prob. 94ECh. 2.1 - Excessive alcohol consumption by those aged 1824...Ch. 2.1 - Prob. 96ECh. 2.1 - Prob. 97ECh. 2.1 - 98. The rise of digital distribution for music has...Ch. 2.1 - Prob. 99ECh. 2.1 - Prob. 100ECh. 2.1 - Is {0} equivalent to ? Explain your answer.Ch. 2.1 - Write two sets that are equivalent but not equal....Ch. 2.1 - Prob. 103ECh. 2.1 - (a) List all of the different sets you can form...Ch. 2.1 - Prob. 105ECh. 2.1 - Prob. 106ECh. 2.2 - Try This One 1
Let U = {10, 20, 30, 40, 50, 60,...Ch. 2.2 - Find all subsets of B = {Verizon, T-Mobile, ATT}.Ch. 2.2 - Prob. 3TTOCh. 2.2 - Decide if each statement is true or false. (a) {8}...Ch. 2.2 - Prob. 5TTOCh. 2.2 - If A = {Cleveland, Indianapolis, Chicago, Des...Ch. 2.2 - Prob. 7TTOCh. 2.2 - Prob. 8TTOCh. 2.2 - Prob. 9TTOCh. 2.2 - Prob. 10TTOCh. 2.2 - What is a subset?Ch. 2.2 - Explain the difference between a subset and a...Ch. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Write an example from real life that represents...Ch. 2.2 - Write an example from real life that represents...Ch. 2.2 - For Exercises 1114, let U = {2, 3, 5, 7, 11, 13,...Ch. 2.2 - For Exercises 1114, let U = {2, 3, 5, 7, 11, 13,...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - If U = the set of natural numbers and A = {4, 6,...Ch. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - For Exercises 2534, state whether each is true or...Ch. 2.2 - Prob. 26ECh. 2.2 - For Exercises 2534, state whether each is true or...Ch. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - For Exercises 2534, state whether each is true or...Ch. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - For Exercises 2534, state whether each is true or...Ch. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.2 - Prob. 38ECh. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Prob. 49ECh. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - For Exercises 5160, let U = {11, 12, 13, 14, 15,...Ch. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - Prob. 58ECh. 2.2 - Prob. 59ECh. 2.2 - For Exercises 5160, let U = {11, 12, 13, 14, 15,...Ch. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - For Exercises 6170, let U = {x | x N and x 25} W...Ch. 2.2 - Prob. 65ECh. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - For Exercises 6170, let U = {x | x N and x 25} W...Ch. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - For Exercises 8184, let D = {11, 12, 13, 14, 15,}...Ch. 2.2 - For Exercises 8184, let D = {11, 12, 13, 14, 15,}...Ch. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.2 - Prob. 87ECh. 2.2 - Prob. 88ECh. 2.2 - Prob. 89ECh. 2.2 - Prob. 90ECh. 2.2 - Prob. 91ECh. 2.2 - Prob. 92ECh. 2.2 - Prob. 93ECh. 2.2 - To integrate aerobics into her exercise program,...Ch. 2.2 - Prob. 95ECh. 2.2 - Prob. 96ECh. 2.2 - Prob. 97ECh. 2.2 - Prob. 98ECh. 2.2 - Prob. 99ECh. 2.2 - Prob. 100ECh. 2.2 - Prob. 101ECh. 2.2 - Prob. 102ECh. 2.2 - Prob. 103ECh. 2.2 - Prob. 104ECh. 2.2 - Prob. 105ECh. 2.2 - Prob. 106ECh. 2.2 - Prob. 107ECh. 2.2 - Prob. 108ECh. 2.2 - Prob. 109ECh. 2.2 - Prob. 110ECh. 2.2 - Prob. 111ECh. 2.3 - Prob. 1TTOCh. 2.3 - Prob. 2TTOCh. 2.3 - Prob. 3TTOCh. 2.3 - Prob. 4TTOCh. 2.3 - Prob. 5TTOCh. 2.3 - Prob. 6TTOCh. 2.3 - Use Venn diagrams to show that (A B) = A B.Ch. 2.3 - Prob. 8TTOCh. 2.3 - Prob. 9TTOCh. 2.3 - Prob. 10TTOCh. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - Describe in your own words what De Morgans laws...Ch. 2.3 - Prob. 6ECh. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - Prob. 14ECh. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - Prob. 16ECh. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - Prob. 21ECh. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - Prob. 24ECh. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - For Exercises 730, draw a Venn diagram and shade...Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - Prob. 41ECh. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - Prob. 45ECh. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 3950, use the following Venn diagram...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - For Exercises 5160, use the following information:...Ch. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.3 - Prob. 65ECh. 2.3 - Prob. 66ECh. 2.3 - Prob. 67ECh. 2.3 - Prob. 68ECh. 2.3 - Prob. 69ECh. 2.3 - Prob. 70ECh. 2.3 - Prob. 71ECh. 2.3 - Prob. 72ECh. 2.3 - Prob. 73ECh. 2.3 - In Exercises 7376, G = {people who regularly use...Ch. 2.3 - Prob. 75ECh. 2.3 - Prob. 76ECh. 2.3 - Prob. 77ECh. 2.3 - Prob. 78ECh. 2.3 - Prob. 79ECh. 2.3 - Prob. 80ECh. 2.3 - Prob. 81ECh. 2.3 - Prob. 82ECh. 2.3 - Prob. 83ECh. 2.3 - Prob. 84ECh. 2.3 - Prob. 85ECh. 2.3 - Prob. 86ECh. 2.3 - Prob. 87ECh. 2.3 - In Exercises 8792. (a) use a Venn diagram to show...Ch. 2.3 - Prob. 89ECh. 2.3 - In Exercises 8792. (a) use a Venn diagram to show...Ch. 2.3 - In Exercises 8792. (a) use a Venn diagram to show...Ch. 2.3 - In Exercises 8792. (a) use a Venn diagram to show...Ch. 2.4 - In an average year, Columbus, Ohio, has 163 days...Ch. 2.4 - According to an online survey on...Ch. 2.4 - An online music service surveyed 500 customers and...Ch. 2.4 - Three other risk factors are obesity, family...Ch. 2.4 - Prob. 1ECh. 2.4 - In a class of 25 students, 18 were math majors, 12...Ch. 2.4 - A court record search of 250 incoming freshmen at...Ch. 2.4 - Twenty-five mice were involved in a biology...Ch. 2.4 - Out of 20 students taking a midterm psychology...Ch. 2.4 - In a study of 400 entres served at 75 campus...Ch. 2.4 - The financial aid department at a college surveyed...Ch. 2.4 - The manager of a campus gym is planning the...Ch. 2.4 - One semester in a chemistry class, 14 students...Ch. 2.4 - According to a survey conducted by the National...Ch. 2.4 - Two hundred patients suffering from depression...Ch. 2.4 - A survey of 96 students on campus showed that 29...Ch. 2.4 - Of the 50 largest cities in the United States, 11...Ch. 2.4 - One hundred new books are released nationally over...Ch. 2.4 - A marketing firm is hired to conduct research into...Ch. 2.4 - The arts communities in 230 cities across the...Ch. 2.4 - A researcher was hired to examine the drinking...Ch. 2.4 - The marketing research firm of OUWant12 designed...Ch. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.5 - Show that the set {1, 2, 3, 4, 5, } is an infinite...Ch. 2.5 - Prob. 2TTOCh. 2.5 - Prob. 3TTOCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - For Exercises 520, find a general term for the...Ch. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - For Exercises 520, find a general term for the...Ch. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - For Exercises 3134, show that the given set is...Ch. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - (a) Define a one-to-one correspondence between the...Ch. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - In Exercises 4146, find the cardinality of the...Ch. 2.5 - In Exercises 4146, find the cardinality of the...Ch. 2.5 - Prob. 45ECh. 2.5 - In Exercises 4146, find the cardinality of the...Ch. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - For Exercises 912, write each set using...Ch. 2 - Prob. 12RECh. 2 - For Exercises 1320, state whether the set is...Ch. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - For Exercises 2124, decide if the statement is...Ch. 2 - Prob. 22RECh. 2 - For Exercises 2124, decide if the statement is...Ch. 2 - For Exercises 2124, decide if the statement is...Ch. 2 - For Exercises 2124, decide if the statement is...Ch. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - For Exercises 4750, draw a Venn diagram and shade...Ch. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - If n(A) = 15, n(B) = 9, and n(A B) = 4, find n(A ...Ch. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - A hearing specialist conducts a study on hearing...Ch. 2 - 59. Fifty-three callers to a campus radio station...Ch. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 13CTCh. 2 - Prob. 14CTCh. 2 - Prob. 15CTCh. 2 - Prob. 16CTCh. 2 - Prob. 17CTCh. 2 - Prob. 18CTCh. 2 - Prob. 19CTCh. 2 - Prob. 20CTCh. 2 - Prob. 21CTCh. 2 - A student studying for a masters degree in sports...Ch. 2 - Prob. 23CTCh. 2 - Prob. 24CTCh. 2 - Prob. 25CTCh. 2 - Prob. 26CTCh. 2 - Prob. 27CTCh. 2 - Prob. 28CTCh. 2 - Prob. 29CTCh. 2 - For Exercises 2530, state whether each is true or...
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- 1. Matrix Operations Given: A = [ 33 ]A-[3-321] -3 B = [342]B-[3-41-2] (a) A² A2 Multiply A× A: -3 = (3 x 32x-3) (3 x 22 x 1) | = |[19–63 |-9-3 -6+21] = A² = 33 33 1-3×3+1x-3) (-3×2+1x1) [12]A2=[3-321][3-321]=[(3×3+2x-3)(-3×3+1x-3)(3×2+2×1)(-3×2+1×1)]=[9-6-9-36+2-6+1 ]=[3-128-5] (b) | A ||A| Determinant of A | A | (3 × 1) (2 x-3)=3+ 6 = 9|A|=(3×1)-(2x-3)=3+6=9 (c) Adjoint of A Swap diagonal elements and change sign of off-diagonals: A = [33], so adj (A) = |¯²]A=[3-321], so adj(A)=[13–23] -3 (d) B-¹B-1 First find | B ||B|: |B | (3x-2)- (1 × -4) = -6 + 4 = −2|B|=(3x-2)-(1x-4)=-6+4=-2 Then the adjoint of B: adj (B) = [² 3 adj(B)=[-24-13] Now, B-1 1 = |B| · adj (B) = 1 [²¯¯³¹³] = [2₂ B 0.5 |B-1=|B|1-adj(B)=-21[-24-13]=[1-20.5-1.5] 2. (a) Matrix Method: Solve (2x + 3y = 6 (2x-3y=14 {2x+3y=62x-3y=14 Matrix form: 22 33-22 = [223-3][xy]=[614] Find inverse of coefficient matrix: Determinant: | M | (2x-3) - (3 x 2) = -6 -6 = -12|M|=(2x-3)-(3×2)=-6-6=-12 Adjoint: adj(M) = [3]adj(M)-[-3-2-32] So…arrow_forwardLet the region R be the area enclosed by the function f(x)= = 3x² and g(x) = 4x. If the region R is the base of a solid such that each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in the region R, find the volume of the solid. You may use a calculator and round to the nearest thousandth. y 11 10 9 00 8 7 9 5 4 3 2 1 -1 -1 x 1 2arrow_forwardUsing the accompanying Accounting Professionals data to answer the following questions. a. Find and interpret a 90% confidence interval for the mean years of service. b. Find and interpret a 90% confidence interval for the proportion of employees who have a graduate degree. view the Accounting Professionals data. Employee Years of Service Graduate Degree?1 26 Y2 8 N3 10 N4 6 N5 23 N6 5 N7 8 Y8 5 N9 26 N10 14 Y11 10 N12 8 Y13 7 Y14 27 N15 16 Y16 17 N17 21 N18 9 Y19 9 N20 9 N Question content area bottom Part 1 a. A 90% confidence interval for the mean years of service is (Use ascending order. Round to two decimal places as needed.)arrow_forward
- Let the region R be the area enclosed by the function f(x) = ex — 1, the horizontal line y = -4 and the vertical lines x = 0 and x = 3. Find the volume of the solid generated when the region R is revolved about the line y = -4. You may use a calculator and round to the nearest thousandth. 20 15 10 5 y I I I | I + -1.5 -1 -0.5 0.5 1 1.5 2 2.5 3 -5 I -10 -15 I + I I T I I + -20 I + -25 I I I -30 I 3.5 4 xarrow_forwardThe joint probability function for the random variables X and Y is y 0 1 2 P(X, Y) = x0 [3/28 9/28 3/281 = 13/14 3/14 2 1/28 0 0 0 Find Mx, My, E(XY), OXY.arrow_forwardIf, based on a sample size of 900,a political candidate finds that 509people would vote for him in a two-person race, what is the 95%confidence interval for his expected proportion of the vote? Would he be confident of winning based on this poll? Question content area bottom Part 1 A 9595% confidence interval for his expected proportion of the vote is (Use ascending order. Round to four decimal places as needed.)arrow_forward
- P(x, y) = {e-(x+y) x≥0, y ≥0 0 otherwise find x, y, x,y JX, 4 буarrow_forwardThe joint density function of two continuous random variables X and Y is: p(x, y) = {Kcos(x- Find (i) the constant K + y) 0 0arrow_forwardplease show all the workarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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