Consider the set N'= {0, 2, 4, 6, .., 1, 3, 5, 7, ... with the ordering <' as follows: (1) a<' b if a is even and b is odd (2) a <' b if a

Q: 14. Explain your reasoning in cach part. (a) • How many one-to-one functions are there with domain…

A: The function allows  each value of domain exactly one value of codomain. Therefore we will proceed…

Q: Let's compare the cardinalities of N and I.

A: We will find out the required solution.

Q: How many injective functions have domain {a,b,c} and codomain [100]?

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Q: Represent the following relation in the roster form. 2. 3 B none of the above -6 8 9 10 R= {(2, 11)…

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Q: Locate all the critical points of f(x) = (x+3)4(4 – x)³. 1. x = -4, -3, 1 2. x = 4, 3, 1 3. x = -4,…

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Q: 10) Let X, X3, X3, X, be an sample space with size 4 from n(1,a). If Y=x, distributed n(2,8), then…

A: If the population is normally distributed, then according to central limit theorem the sampling…

Q: 6) Which of the following collections of subsets of A (0, 2, 3, 4, 5, 8,9) are partitions? Explain…

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Q: What is the range of the following: {(3, 4), (9, 1), (10,5), (2, 15), (8, 4)} O {7, 10, 15, 17, 12}…

A: A relation is a map which can be written as a set of ordered pairs. A function is a relation which…

Q: The tinal grades for the students in two of Mr. Malaski's classes are shoW. 7h Poriod 18. 66, 72,…

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Q: What is the range of the following: {(3, 4), (9,1), (10, 5), (2, 15), (8,4)}

A: The range of the function is the values of the function that can be achieved by inputting the values…

Q: 2.4-Samantha Roth 8/29/2021 8. Describe the set by referring to the numbered regions. A-(BUC') 16 17…

A: Solution:-Given the venn diagram of a set U      By using this we need to find  A (BUC')

Q: The rooms in a house are adjacent as indicated in the following table. An "*" means they are…

A: The rooms in a house are adjacent as indicated in the following table. An  means they are adjacent…

Q: 3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number…

A: A model for number of successful acts is given as, A(n)=55n+1n+8 where n is the number of practice…

Q: Find closed Sets A= [2,5), B = {2, 4, 6, 8, 10,--- }, C = {6, 21, 42, 58}

A: We have to find the closed sets.

Q: W h er 1, e m S 8. For each of the functions given below, describe the miss- ing function by giving…

A: gof calculations

Q: 3.55. a) How many three-digit numbers with different digits are there formed by digits belonging to…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: 10) Let X, X2, X3, X, be an sample space with size 4 from n(u,a). If Y=EX, distributed n(2,8), then…

A: Hello! As you have posted more than 2 different questions, we are answering the first question. In…

Q: Which of the following is an example for a 'Simple classification? O a. Male - Married Educated O b.…

A: When dividing the data into groups , if raw data are classified by a single attribute , then the…

Q: A = (x EZ: xis even} B = (x E Z: xis a prime number} D = (5,7,8,12,13,15) Select the set…

A: Given: To find the set .

Q: The ranks of 15 studenlí . in two subjecls ļ B vare within bracketé denotes the rank of a sludent in…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Based on Venn diagram answer following questions. List the elements of A'nB and the P(A'ПB) A B 3 5…

A: Answer written in explanation. Explanation:Step 1: Step 2: Step 3: Step 4:

Q: SUppose K,n EZ and O < Kcn. Prove +hat by (onsi nsi dering subsets of (1,... --- --- (^) - (":') + (…

A: The given problem is to prove the following identity using the basic mathematical identities.

Q: I am lost on this problem Set operations with 3 sets A' or ( B and C) U=(1,2,3,...,8) A= (1,2,3,5)…

A: The given sets are,

Q: What is the range of the following: {(3,4), (9, 1), (10, 5), (2, 15), (8,4)} O {7, 10, 15, 17, 12} O…

A: The range of a relation is defined as the collection of all the images of the elements in the domain…

Q: given the class width = 3 what is the class interval and class mark class interval = 7 to

A: Class width=3 Class interval= 7 to a

Q: Exercice 3 : Solve the first order PDE: Uz + 2u, + (2r - y)u = (2a +3xy-2y)(x+2y) %3D

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Q: 5.2 Any lower Lebesgue-Darboux sum does not exceed any upper Lebesgue-Darboux sum i.e. for any two…

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Q: The set from problem 1 is a_(n+1)=sqrt(3+2*a_n), where a_1=1 For problem 2, it shows that A is not…

A: 1) An increasing sequence limits to its supremum. 2)A is unbounded if it goes to infinity.

Q: 2. Write the following sets in roster notation • {zx|<3^³y(y =Z^y = x + 2)} • "The set of…

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Q: Problem 3. Let a, b and n be positive integers. Prove that (a) gcd(an, b″) = gcd(a, b)” and lcm(a”,…

A: To prove the given statements, we will use the following properties of the greatest common divisor…

Q: Write the following sets in the roaster form. (a) A = {x | x is a positiveinteger less than 10 and…

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Q: If a universal set has 500 elements, n(a)= 240, n(AUB) = 400, n(An B) = 55, what is n(B')?

A: Total number of elements = n(U) = 500n(A) = 240n(A  B) = 400n(AB) = 55We have to find n(B').

Q: 3. For the following questions please use the following notation. "Not X" = X'. "Not Y"=Y'. You may…

A: For the given events, "Not X"=X′ and "Not Y"=Y′, both the paired events of "X and X′" and "Y and Y′"…

Q: 14. How many points are on the graph of (x - 3 )^2 + ( y + 9 )^2 = 0 * infinitely many 1 none

A: To determine the number of points on the graph.

Q: 3. How many permutations of the letters ABCDEFGHI contain the strings ABC and GHI (1 Point) O P…

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Q: Consider the following families of sets indexed by the set of natural numbers. Which among these is…

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Q: 3. If fave [p,q] denotes the average value of f on the interval [p,q] and p<k<q, show that fone…

A: The average value of a function f on an interval a ,b is defined as follows: favea, b=1b-a∫abfx dx

Q: Compute for the total frequency X 0< x < 2 2<2<4 4<x<8 8<x< 10 frequency 9 21 f

A: The endpoints of a class interval which is used for tally marking the given values are called Class…

Q: In A, values of k for which det(A)=0 3 poi n are * (k-4 0 A = 0 k 3 k-1, O k=4, k=-3, k=-2 k=-4,…

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Q: Find the range of the Function /(a) 12 0(-, ) O (-x, 12) O (-, 0)U (0, o) 0-, 12) u (12, oo)

A: Topic - functions Range of the function is the values for which f(x) is defined. The given function…