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mathematics
college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

In Problems 33 and 34, discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.(A) If A and B are disjoint, then n(A ∩ B) = n(A) +
In Problems 31–36, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. (p→q)→קר
In Problems 31–36, would you consider the selection to be a permutation, a combination, or neither? Explain your reasoning.A father ordered an ice cream cone (chocolate, vanilla, or strawberry) for
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. 4 קר
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. q ^ (p V q)
In a horse race, how many different finishes among the first 3 places are possible if 10 horses are running? (Exclude ties.)
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. PV (p→q)
A combination lock has 5 wheels, each labeled with the 10 digits from 0 to 9. How many 5-digit opening combinations are possible if no digit is repeated? If digits can be repeated? If successive
Discuss the relative growth rates of x!, 3x, and x3.
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. p→ (p ^q)
How many different license plates are possible if each contains 3 letters (out of the alphabet’s 26 letters) followed by 3 digits (from 0 to 9)? How many of these license plates contain no repeated
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. (p→q) →¬р
From a standard 52-card deck, how many 6-card hands consist entirely of red cards?
From a standard 52-card deck, how many 6-card hands consist entirely of clubs?
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. b←(b-d)
From a standard 52-card deck, how many 5-card hands consist entirely of face cards?
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. _p→ (p V q) קר
From a standard 52-card deck, how many 5-card hands consist entirely of queens?
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. =p→(p ^q)
Use graphical techniques on a graphing calculator to find the largest value of nCr when n = 25.
From a standard 52-card deck, how many 7-card hands contain four kings?
In Problems 1–6, express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositions 11"">¬p p: "3² < 24" q: "4³ > 11²"
In Problems 1–6, express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositions p: "3² < 24" 9: "4³ > 112,
In Problems 1–6, express each proposition in an English sentence and determine whether it is true or false, where p and q are the propositions 112,"> p: "3² < 24" 9: "4³ > 112,
In Problems 7–10, indicate true (T) or false (F). {a,b,c} = {c, b, a}
In Problems 7–14, indicate true (T) or false (F). {1, 2} C {2, 1}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 7!
In Problems 7–10, indicate true (T) or false (F). {s, d} C {a, b, c, d, s}
In Problems 7–14, indicate true (T) or false (F). {3, 2, 1} C {1, 2,3,4}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places.10!
In Problems 7–10, indicate true (T) or false (F). k = {hike}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. (5 + 6)!
In Problems 7–14, indicate true (T) or false (F). {5, 10} = {10,5}
In Problems 7–10, indicate true (T) or false (F). Ø C{1, 2, 3, 4}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. (7+2)!
In Problems 7–14, indicate true (T) or false (F). {0} = {0, {0}} E
In Problems 7–14, indicate true (T) or false (F). 1 € {10, 11} E
In Problems 11–14, describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. If 4 is composite, then 9 is even.
In Problems 7–14, indicate true (T) or false (F). {0,6} = {6}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places.5! + 6!
In Problems 11–14, describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. 63 is prime or 8 is even.
In Problems 11–14, describe each proposition as a negation, disjunction, conjunction, or conditional, and determine whether the proposition is true or false. 53 is prime and 57 is prime.
In Problems 7–14, indicate true (T) or false (F). 8 = {1,2,4}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places.7! + 2!
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 8! 의 4!
How many 3-letter code words can be formed from the letters A, B, C, D, E if no letter is repeated? If letters can be repeated? If adjacent letters must be different?
In Problems 7–14, indicate true (T) or false (F). ØC{1,2,3}
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 10! 5!
In Problems 15–28, write the resulting set using the listing method. {1,2,3} {2,3,4}
How many 4-letter code words can be formed from the letters A, B, C, D, E, F, G if no letter is repeated? If letters can be repeated? If adjacent letters must be different?
In Problems 15–28, write the resulting set using the listing method. {1,2,3} U {2,3,4}
In Problems 17–24, use the given information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. A B ΑΠ Β΄ΑΠΒΑʹ Π Β A' B'
Use the Venn diagram to find the number of elements in each of the following sets: (A) A (C) ANB (E) U (G) (ANB)' U A 30 35 (B) B (D) AUB (F) A' (H) (AUB)' 40 B 45
In Problems 15–28, write the resulting set using the listing method. (1,4,7} {10, 13}
A single die is rolled, and a coin is flipped. How many combined outcomes are possible? Solve: (A) Using a tree diagram (B) Using the multiplication principle
In Problems 17–24, use the given information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. A B ANBANBA'NB A' B'
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places.10P7
Evaluate the expressions in Problems 22–28.11!
In Problems 17–24, use the given information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. A ANB'AN BA'N B B A'B'
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 12P7 127
In Problems 17–24, use the given information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. A B ANBANBA'N B A' B'
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 365P25 36525
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 39C5 52C5
In Problems 7–26, evaluate the expression. If the answer is not an integer, round to four decimal places. 26C4 52C4
In Problems 25–32, use the given information to complete the following table. n(A) = 55, n(B) = 65, n(ANB) = 35, n(U) = 100
In Problems 15–28, write the resulting set using the listing method. {x|x is an odd number between 1 and 9, inclusive}
In Problems 15–28, write the resulting set using the listing method. {x|x is a month starting with M}
In Problems 27–30, simplify each expression assuming that n is an integer and n ≥ 2. (n + 1)! 2! (n − 1)!
In Problems 29–34, state the converse and the contrapositive of the given proposition.If triangle AB is equilateral, then triangle ABC is equiangular.
How many seating arrangements are possible with 6 people and 6 chairs in a row? Solve using the multiplication principle.
From a standard 52-card deck, how many 7-card hands consist of 3 hearts and 4 diamonds?
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. q→ (¬р ^q)
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let H′ {n EN n > 100} H = T = {ne N n < 1,000} E =
If 3 operations O1, O2, O3 are performed in order, with possible number of outcomes N1, N2, N3, respectively, determine the number of branches in the corresponding tree diagram.
In Problems 49–51, write the resulting set using the listing method. {0 = x - x|x}
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. q→ (p V¬q) 9
From a standard 52-card deck, how many 4-card hands contain a card from each suit?
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let T′ H = {ne N T = {ne N E = {ne N P = {n e N n >
In Problems 49–51, write the resulting set using the listing method. {x|x is a positive integer and x!
From a standard 52-card deck, how many 4-card hands consist of cards from the same suit?
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. (¬p ^q) ^ (q-p)
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let E ∪ P H = {ne N T = {ne N E = {ne N P = {n e
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let H = {ne N T = {ne N E = {ne N P = {n e N n >
In Problems 35–52, construct a truth table for the proposition and determine whether the proposition is a contingency, tautology, or contradiction. (p→¬q) ^ (р^g)
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let H = {ne N T = {ne N n > 100} n < 1,000} E = {n
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let H = {ne N T = {ne N E = {ne N P = {n e N n >
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let E′ H = {ne N T = {ne N E = {ne N P = {n e N n >
A management selection service classifies its applicants (using tests and interviews) as high-IQ, middle-IQ, or low-IQ and as aggressive or passive. How many combined classifications are
In Problems 53–58, construct a truth table to verify each implication. -p Aq= PV q
In Problems 55–60, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample.If n is a positive integer, then n! < (n + 1)!
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let P′ H = {ne N T = {ne N E = {ne N P ={n e N n >
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let H = {ne N T = {ne N E = {ne N P = {n e N n >
A sales representative who lives in city A wishes to start from home and fly to 3 different cities: B, C, and D. If there are 2 choices of local transportation (drive her own car or use a taxi), and
In Problems 49–58, determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let H = {ne N T = {ne N n > 100} n < 1,000} E = {n
In Problems 59–64, construct a truth table to verify each equivalence. p→ (pv q) = p V q
In Problems 59–64, construct a truth table to verify the implication or equivalence. q \ q) = p) →קר
Eight distinct points are selected on the circumference of a circle.(A) How many line segments can be drawn by joining the points in all possible ways?(B) How many triangles can be drawn using
In Problems 59–64, construct a truth table to verify each equivalence. q ^ (pv q) = q V (p ^ q)
In Problems 59–64, construct a truth table to verify the implication or equivalence. PVqpq
In Problems 59–64, construct a truth table to verify each equivalence. P p ^ (p→q) = p ^g =

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