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mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
Determine whether the statement is true or false.B ⊆ CLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.A ⊆ BLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.D ⊆ ALet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.D ⊆ BLet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.C ⊆ ULet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether each statement is true or false.A ⊆ ULet A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D = 52, 106, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.{x|x is a natural number greater than 10} = {11, 12, 13, . . . }Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, and U = 52, 4, 6, 8, 10, 12, 146.
Determine whether the statement is true or false.{x|x is a natural number less than 3} = {1, 2}
Determine whether the statement is true or false.{3, 7, 12, 14} = {3, 7, 12, 14, 0}
Determine whether the statement is true or false.{5, 8, 9} = {5, 8, 9, 0}
Determine whether the statement is true or false.{3, 0, 9, 6, 2} = {2, 9, 0, 3, 6}
Determine whether each statement is true or false.{2, 5, 8, 9} = {2, 5, 9, 8}
Determine whether each statement is true or false.3 ∉ {7, 6, 5, 4}
Determine whether each statement is true or false.9 ∉ {8, 5, 2, 1}
Determine whether each statement is true or false.12 ∈ {18, 17, 15, 13, 12}
Determine whether each statement is true or false.1 ∈ {11, 5, 4, 3, 1}
Determine whether each statement is true or false.6 ∈ (2, 5, 8, 9}
Determine whether each statement is true or false.3 ∈ {2, 5, 6, 8}
Insert ∈ or ∉ in each blank to make the resulting statement true.Ø ______ Ø
Insert ∈ or ∉ in each blank to make the resulting statement true.0 ______ Ø
Insert ∈ or ∉ in each blank to make the resulting statement true.{2} ____ {2, 4, 6, 8}
Insert ∈ or ∉ in each blank to make the resulting statement true.{0} {0, 1, 2, 5}
Insert ∈ or ∉ in each blank to make the resulting statement true.{5} ______ {3, 4, 5, 6, 7}
Insert ∈ or ∉ in each blank to make the resulting statement true.{3} ______ {2, 3, 4, 5}
Insert ∈ or ∉ in each blank to make the resulting statement true.0 _____ {0, 5, 6, 7, 8, 10}
Insert ∈ or ∉ in each blank to make the resulting statement true.0 _____ {0, 2, 3, 4}
Insert ∈ or ∉ in each blank to make the resulting statement true.13 ______ {3, 5, 12, 14}
Insert ∈ or ∉ in each blank to make the resulting statement true.5 ______ {4, 6, 8, 10}
Insert ∈ or ∉ in each blank to make the resulting statement true.9 _____ {2, 3, 5, 9, 8}
Insert ∈ or ∉ in each blank to make the resulting statement true.6 _______ {3, 4, 5, 6}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{x|x is a natural number not greater than 4}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{x|x is a natural number greater than 8 and less than 15}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{74, 68, 62, . . . , 38}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{17, 22, 27, . . . , 47}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{3, 9, 27, . . . , 729}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set. 11 32 {1,...} 1, 5, 7
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{8, 9, 10, . . . , 17}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{12, 13, 14,c , 20}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{x|x is an even natural number }
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{x|x is a fraction between 1 and 2}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{x|x is a natural number greater than or equal to 10}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{x|x is a natural number greater than 11}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{4, 5, 6, . . . }
Identify the set as finite or infinite. Then determine whether 10 is an element of the set. 2: 4' 8
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{1, 2, 3, 4, 5, . . . , 75}
Identify the set as finite or infinite. Then determine whether 10 is an element of the set.{4, 5, 6, . . . , 15}
Work the problem.Find {16, 18, 21, 50} ∪ {15, 16, 17, 18}.
Work the problem.Find {16, 18, 21, 50} ∩ {15, 16, 17, 18}.
Work each problem.Let U = {1, 2, 3, 4, 5} and A = {1, 2, 3}. Find A′.
Use set notation and write the elements belonging to the set {x|x is a natural number less than 6}.
Work each problem.Identify the set {1, 1/3,1/9,1/27, . . .} as finite or infinite.
Fill in the blank to correctly complete each sentence.The ______ of sets A and B is made up of all the elements belonging to set A or set B (or both).
Fill in the blank to correctly complete each sentence.The ______ of sets A and B is made up of all the elements belonging to both set A and set B.
Fill in the blank to correctly complete each sentence.The set of all elements of the universal set U that do not belong to set A is the ______ of set A.
Fill in the blank to correctly complete each sentence.Set A is a(n) _______ of set B if every element of set A is also an element of set B.
Fill in the blank to correctly complete each sentence.The elements of the set of natural numbers are _______ .
Find the probability (to three decimal places) of obtaining 5 on exactly two of six rolls of a single fair die.
A sample of 4 light bulbs is chosen. The probability of exactly 0, 1, 2, 3, or 4 light bulbs being defective is given in the table. Find the probability that at most 2 are defective. Number Defective 3 0.07 0.01 0.43 Probability 0.19 0.30 2.
Solve the problem.card is drawn from a standard deck of 52 cards. Find the following probabilities in parts (a)–(c).(a) A red three is drawn.(b) A card that is not a face card is drawn.(c) A king or a spade is drawn.(d) What are the odds in favor of drawing a face card?
A student must select 4 courses from 15 that are offered in a semester. How many different arrangements of the 4 courses are possible?
A mortgage company has 10 loan officers: 4 women and 6 men. In how many ways can 4 of these officers be selected to attend a seminar? In how many ways can 2 women and 2 men be selected to attend the seminar?
A shoe manufacturer makes athletic shoes in 4 different styles. Each style comes in 3 different colors, and each color comes in 2 different shades. How many different types of shoes can be made?
Evaluate the expression.Let Sn represent the statement, and use mathematical induction to prove that Sn is true for every positive integer n.1 + 7 + 13 + · · · + (6n - 5) = n(3n - 2)
Evaluate the expression.P(11, 3)
Evaluate the expression.C(7, 3)
Evaluate the expression.C(10, 2)
Evaluate the expression.8!
Write the binomial expansion of the expression.Find the third term in the expansion of (w - 2y)6.
Write the binomial expansion of the expression.(2x - 3y)4
Write the binomial expansion of the expression.(x + y)6
Evaluate the sum that exists. ο Σ54 i=1
Evaluate the sum that exists. ο Σ (2) .4 i=1
Evaluate the sum that exists. 5 E(-3· 2') i=1
Evaluate the sum that exists. 30 Σ (51+2 ) i=1
Find the sum of the first ten terms of the series.Geometric; a1 = 5, r = -2
Find the sum of the first ten terms of the series.arithmetic; a1 = -43, d = 12
Determine the indicated term for the sequence described.A geometric sequence has a1 = 81 and r = - 2/3. Find a6.
Determine the indicated term for the sequence described.An arithmetic sequence has a1 = 1 and a3 = 25. Find a5.
Write the first five terms of the sequence. State whether the sequence is arithmetic, geometric, or neither.a1 = 2, a2 = 3, an = an-1 + 2an-2, for n ≥ 3
Write the first five terms of the sequence. State whether the sequence is arithmetic, geometric, or neither. -3 2 an
Write the first five terms of each sequence. State whether the sequence is arithmetic, geometric, or neither.an = (-1)n(n2 + 2)
A fair coin is tossed 10 times. Find the probability (to three decimal places) that exactly 4 of the tosses result in a tail.
A fair die is rolled 12 times. Find the probability (to three decimal places) that exactly 2 of the rolls result in a 5.
A sample shipment of 5 toaster ovens is chosen. The probability of exactly 0, 1, 2, 3, 4, or 5 toaster ovens being defective is given in the table.Find the probability that the given number of toaster ovens are defective.(a) No more than 3 (b) At least 2 (c) More than 5 Number Defective 3
There were 754,299 master’s degrees awarded in the United States in 2012. The table shows the numbers of degrees awarded in several fields of study. Field of Study...............................................................................Number of Master’s
A card is drawn from a standard deck of 52 cards. Find the following probabilities.(a) A black king is drawn. (b) A face card or an ace is drawn.(c) An ace or a diamond is drawn. (d) A card that is not a diamond is drawn.(e) What are the odds in favor of drawing an ace?
A marble is drawn at random from a box containing 4 green, 5 black, and 6 white marbles. Find the following probabilities.(a) A green marble is drawn. (b) A marble that is not black is drawn.(c) A blue marble is drawn.(d) What are the odds in favor of drawing a marble that is not white?
Most racetracks have “compound” bets on 2 or more horses. An exacta is a bet in which the first and second finishers in a race are specified in order. A quinella is a bet on the first 2 finishers in a race, with order not specified.(a) In a field of 9 horses, how many different exacta bets can
How many different license plates can be formed with a letter followed by 3 digits and then 3 letters? How many such license plates have no repeats?
Nine football teams are competing for first-, second-, and third-place titles in a statewide tournament. In how many ways can the winners be determined?
A student council consists of 6 seniors and 3 juniors. Three members are to be selected to attend a conference.(a) How many different such delegations are possible?(b) How many are possible if 2 seniors and 1 junior must attend?
Four students are to be assigned to 4 different summer jobs. Each student is qualified for all 4 jobs. In how many ways can the jobs be assigned?
Bob is furnishing his apartment and wants to buy a new couch. He can select from 5 different styles, each available in 3 different fabrics, with 6 color choices. How many different couches are available?
Two people are planning their wedding. They can select from 2 different chapels, 4 soloists, 3 organists, and 2 ministers. How many different wedding arrangements are possible?
Refer to Exercises 61 and 62. How much more will a person with 4 yr of college who earns the median amount make during his or her career than a person with no college attendance who earns the median amount during his or her career? If the expenses of a 4-yr college degree are estimated at $95,780,
In 2012 the median annual earnings of a person with 4 yr of college was $46,900. This amount is expected to increase by about $813 per year. How much will a person earning the median amount earn until retirement if he or she joins the work force at age 22 and works until age 66?
Solve the problem.In 2012 the median annual earnings of a high school graduate with no college attendance was $30,000. This amount is expected to increase by about $268 per year. How much will a person earning the median amount earn until retirement if he or she joins the work force at age 18 and
Evaluate the expression.10 · 9!
Evaluate each expression.C(10, 5)
Evaluate the expression.9!
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