Math in Our World
3rd Edition
ISBN: 9780073519678
Author: David Sobecki Professor, Allan G. Bluman
Publisher: McGraw-Hill Education
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Question
Chapter 2.1, Problem 103E
(a)
To determine
To find: The set which has more elements among the two sets A and B.
(b)
To determine
To write: The correspondence between A and B and then check whether this correspondence change the answer from part (a) or not.
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Chapter 2 Solutions
Math in Our World
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 - For Exercises 4954, state whether each collection...Ch. 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 - The table shows the top 10 states in number of...Ch. 2.1 - This table shows the top 10 states in terms of...Ch. 2.1 - Excessive alcohol consumption by those aged 1824...Ch. 2.1 - The number of bachelors degrees awarded in the...Ch. 2.1 - Prob. 97ECh. 2.1 - Prob. 98ECh. 2.1 - Housing prices have been in the news a lot in...Ch. 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 - Prob. 104ECh. 2.1 - (a) List all of the different sets you can form...Ch. 2.2 - Let U = {10, 20, 30, 40, 50, 60, 70, 80, 90} and A...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 - Prob. 11TTOCh. 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 - For Exercises 1724, find all subsets and all...Ch. 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 - A student can have a cell phone, a laptop, and an...Ch. 2.2 - Prob. 94ECh. 2.2 - Prob. 95ECh. 2.2 - Prob. 96ECh. 2.2 - Prob. 97ECh. 2.2 - To integrate aerobics into her exercise program,...Ch. 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 - If C = {guilty, not guilty} and D = {possession...Ch. 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 - A poll of 200 doctors across the nation found that...Ch. 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 - The table and Venn diagram below are to be used...Ch. 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 - In a survey of 85 college students, 72 use...Ch. 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. 2.5 - 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 - For Exercises 2738, let U = {p, q, r, s, t, u, v,...Ch. 2 - For Exercises 2738, let U = {p, q, r, s, t, u, v,...Ch. 2 - For Exercises 2738, let U = {p, q, r, s, t, u, v,...Ch. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - For Exercises 2738, let U = {p, q, r, s, t, u, v,...Ch. 2 - Prob. 34RECh. 2 - For Exercises 2738, let U = {p, q, r, s, t, u, v,...Ch. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - For Exercises 2738, let U = {p, q, r, s, t, u, v,...Ch. 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 - The table and Venn diagram below are to be used...Ch. 2 - The table and Venn diagram below are to be used...Ch. 2 - The table and Venn diagram below are to be used...Ch. 2 - Prob. 56RECh. 2 - On the eve of the 2012 Iowa Republican caucuses,...Ch. 2 - A hearing specialist conducts a study on hearing...Ch. 2 - Prob. 59RECh. 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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- 5 4. ·3. -2+ 1+ AN -5 -3 -4- 1 x 3 ད Graph of f The graph of the function f is given in the xy- plane. Which of the following functions has the same period as f? A B ми warrow_forwardnt/Ray Skew Lines/ J K # H L 艹 G C D E F Diagrams m Three Points th a Protractor Answer Attempt 3 out of 3 el 1 is congruent to Submit Answer 103 Log Out REE Young the → C # $arrow_forward4:54 PM Thu Jan 16 cdn.assess.prod.mheducation.com Question 3 The angle bisectors of APQR are PZ, QZ, and RZ. They meet at a single point Z. (In other words, Z is the incenter of APQR.) Suppose YZ = 22, QZ = 23, mz WPY 38°, and mzXQZ = 54°. Find the following measures. Note that the figure is not drawn to scale. P W Z X R Y mzXQW WZ = = 0 mz XRZ = 0°arrow_forward
- a C d 2 1 -1 0 1 2 3 -1 Graph of f'(x) (5) The graph of f'(x), the derivative of f(x), is shown in the figure above. The line tangent to the graph of f'(x) at x=0 is vertical and f'(x) is not differentiable at x = 1. Which of the following statements is true? (a) f'(x) does not exist at x = 0. (b) f(x) has a point of inflection at x = 1. (c) f(x) has a local maximum at x = 0. (d) f(x) has a local maximum at x = 1.arrow_forwardball is drawn from one of three urns depending on the outcomeof a roll of a dice. If the dice shows a 1, a ball is drawn from Urn I, whichcontains 2 black balls and 3 white balls. If the dice shows a 2 or 3, a ballis drawn from Urn II, which contains 1 black ball and 3 white balls. Ifthe dice shows a 4, 5, or 6, a ball is drawn from Urn III, which contains1 black ball and 2 white balls. (i) What is the probability to draw a black ball? [7 Marks]Hint. Use the partition rule.(ii) Assume that a black ball is drawn. What is the probabilitythat it came from Urn I? [4 Marks]Total marks 11 Hint. Use Bayes’ rulearrow_forwardLet X be a random variable taking values in (0,∞) with proba-bility density functionfX(u) = 5e^−5u, u > 0.Let Y = X2 Total marks 8 . Find the probability density function of Y .arrow_forward
- Let P be the standard normal distribution, i.e., P is the proba-bility measure on R, B(R) given bydP(x) = 1√2πe− x2/2dx.Consider the random variablesfn(x) = (1 + x2) 1/ne^(x^2/n+2) x ∈ R, n ∈ N.Using the dominated convergence theorem, prove that the limitlimn→∞E(fn)exists and find itarrow_forwardOR 16 f(x) = Ef 16 χ по x²-2 410 | y = (x+2) + 4 Y-INT: y = 0 X-INT: X=0 VA: x=2 OA: y=x+2 0 X-INT: X=-2 X-INT: y = 2 VA 0 2 whole. 2-2 4 y - (x+2) = 27-270 + xxx> 2 क् above OA (x+2) OA x-2/x²+0x+0 2 x-2x 2x+O 2x-4 4 X<-1000 4/4/2<0 below Of y VA X=2 X-2 OA y=x+2 -2 2 (0,0) 2 χarrow_forwardpls help asaparrow_forward
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