a. Which of the eight properties are satisfied by N? Give examples of the properties which are not satisfied by N. b. Which of the eight properties are satisfied by Z? Give examples of the properties not satisfied by Z.

Q: Which sub A. positi B. negati

A: Introduction: The positive integers are the numbers 1, 2, 3,..., also known as counting numbers or…

Q: 4. x and y are two positive integers. (x,y) = 5, Icm (x,y) = 200 and 15, find x and y. gcd x - y =

A: Given that     gcd(x,y) = 5 ;   lcm(x,y) = 200   and  x-y = 15 Formula :     xy =…

Q: Determine which of the options below appropriately demonstrates that Q is not closed under the…

A: Consider the given information: Here to demonstrates that ℚc is not not closed under the operation…

Q: given n (A⋂B) = 18, n (A) = 3, n (B) and n (A⋂B) = 2.Find n (B) and the number of subsets of set B

A: Solution

Q: 33. Is it possible to have a combination of nickels, dimes, and quarters that add up to $4.72?…

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Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Given that: 3 boys and 3 boys are at a party.

Q: . Let n =12,612,6x0,725,725 . a. If 9 | n, then x = ________ . b. If 11| n, then x = ________.

A: (a) We know 9 | n iff the sum of the digits of n is divisible by 9.     n = 126126x0725725    =>…

Q: Which expression shows the number of possibilities for 1st, 2nd, and 3rd in a soccer league of 18…

A: We have to find no. Of permutations possible.

Q: Determine whether the statement is true or false. 27€{2,3,4,...15) Choose the correct answer below.…

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Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Let A and Bbe everts satisfying P(A)=04, P(B)-0.6 and P(An B)-01.Find P(A B)

A: P(A) = 0.4 P(B) = 0.6 P(A∩B)=0.1

Q: 3. a. Find the value of 0(78).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A.Determine whether the following are even or odd: a. 16 +12 b. 14 +5 c. 13 + 15 B.Now use your…

A: (A)  a=16+12

Q: Suppose you want to refute the statement:  For all natural numbers a, b, and c, if a | b and a | c…

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Q: Given: B = (xI20 < x < 50 and x is divisible by 7 }, find n(B). a. 30 b. 20 c. 10 d. 5

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Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: The sum of all positive divisars of 500 is a(500) = Oa. 992 Ob. None O. 1192 d. 1092 e. 1992

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Q: Six men and seven women enter a classroom. There are chairs numbered one through thirteen along the…

A: Given that, Six men and seven women enter a classroom. There are chairs numbered one through…

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers,…

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Q: If d is g(a, b) and c is another natural number which also divides both a and b. Then c also divides…

A: Given that c divides a and b ,d belongs to( a ,b) so assume a,b are 4,8 and c is 2 and d is 6

Q: The integers -10, -8, -6, -4, -2, 0, +2, +4, +6, and +8 LEARN ON ME.: are assigned to the letters W,…

A: Given: The integers -10, -8, -6, -4, -2, 0, +2, +4, +6, +8 are assigned to the letters W, L, E, O,…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7), and C = {red, green, blue}. Find the number indicated.…

A: Here A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7}, and C = {red, green, blue}. We find n(B×C).

Q: The stem-and-leaf display below gives the number of minutes that customers waited for their orders…

A: ( a ) Ranges = ? ( b) greater Median  restaurant is ? (c) More wait time from 40 to 49 minutes

Q: Let a, b, c be integers. Prove that if a divides b and b divides c, then a divides c. You must use…

A: a, b, c are integers.Definition of 'divides' :Let a and b be integers. We say a divides b if there…

Q: Given A={-4,0,11}, which elements of set are less than -1?

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Q: Let A = {3, 4, 5, 6, 9}, Write down each of the following sets. (a) An B. (b) {b-2: be B and b+ 2 &…

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Q: Let R = {(a, b), (b, a), (a, c), (c, d), (d, a)} a. Is (a, c) E R³? b. Is (a, a) E R²? c. Is (c, c)…

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Q: Consider the following set. {-5, -2, -4/3, 0, 1, V3, 2, 2.25, 3, 8} Which numbers are rational…

A: The given set of numbers is {-5, -2, -4/3, 0 ,1, 3, 2, 2.25, 3, 8} Rational numbers are of the form…