Given a set of n points, exactly how many interpolating polynomials can be found to pass through the points

Q: A Highest Common Factor of a, b is defined as: It is the greatest integer divisor of both a and b O…

A: Solution ---------------  Definition of HCF  ================ HCF (highest common factor) : The…

Q: Find the least positive integer that yields the remainders 1, 3, and 5 when divided by 5, 7, and 9,…

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Q: Find the greatest common divisor (GCD) and the least common multiple (LCM) of 1575 and 66. Hence…

A: Given number's 1575 & 66  Division algorithm: If m and n are integers and n is positive there…

Q: If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2, then what is the least…

A: This is a question of number theory therefore from the subtopic of counting.

Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Show that 8.

A: A∞=Max∑j=1naij  for i=1 to n=maximum row sumA*=AT=ajiA*1=Max∑i=1naji  for j=1 to n=maximum column…

Q: Give a recursive definition for the set S ={4,7,10,13,16,19,.}.

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Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly three 0s, five 1s,…

A: Total number of digits are 12 Given there are three 0's , five 1's and four 2's

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: 13 - What is the Lagrange interpolation polynomial which passes through (2,2) and (4,6)

A: We use the Lagrange interpolation formula

Q: Find the largest value of n such that: > (6k – 8) < 3000 k=1

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Q: How many 12-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Let the twelve digits be d1,d2,d3, d4,d5,d6,d7,d8,d9,d10,d11,d12 from left to right. Let a1=d1…

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Prove that the sum of any three consecutive numbers is divisible by 3

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Q: Compute (x - 5) for the following set of n = 7 values. x1 = 8, x2 = 19, x3 = 14, x4 = 10, x5 = 16,…

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Q: Discrete Math

A: According to the given information, Suppose that:

Q: 22. Evaluate |(x – a) (x – b) (x – c) . . . (x – y) (x – z) where the second term of each factor…

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Q: Show that A5 has 24 elements of order 5, 20 elements of order 3, and15 elements of order 2.

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Q: Find integers x and y such that 3220x + 6006y = gcd(3220,6006).

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Q: Find all integer partitions of 10.

A: A Partition of a positive number n or integer partition is a way of calculating all  n sum of…

Q: If n=3, expand µ = a"x¡x¡

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Q: Find (a) K (b) CDF of X

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Q: Suppose set A has a greatest lower bound. Then it is not necessarily true that lub(-A) = -glbA. True…

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Q: How many pairs of integers (a,b) exists such that the product of a,b and HCF of (a,b) is 1080??

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Q: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

Q: Find the greatest common divisor for 102 and 66, (102, 66), and the values of m and n such that…

A: To find the greatest common divisor of 102 &amp; 66. For that we can use Euclidian Algorithm.…

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: Which list of numbers is ordered from greatest to least? O 3. 49 x 10', 2.73 x 10°, 4. 27 x 10', 1.…

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Q: Find the largest number 8 such that if |x – 3| < 8, then |2x – 6| < ɛ, where ɛ = 0.5. Repeat and…

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Q: a) How can you find a linear combination (with integer coefficients) of two integers that equals…

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Q: b) Use generating functions to determine how many four element subsets of S = {1,2,3, ..,15}…

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Q: 24, Use the division algorithm to find polynomials q(x) and r(x) so that

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Q: Express each number as a product of its prime numbers. ("“Factor Trees' 1. 6 2. 15 3. 36 4. 250

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Show that (n + 1)! > 2"+3, for n > 5.

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Q: Suppose a group of twelve (12) people consists of five (5) men and seven (7) women. How many…

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Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

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Q: 1. How many ways can Max colour 5 adjacent regions on a map if he has a set of 11 coloured pencils?…

A: To find the number of ways in which Max can colour 5 adjacent regions on a map, if he has a set of…

Q: How many five-digit numbers are there for which each digit is either equal to both adjacent ones, or…

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Q: R.2. Show that among 29 distinct integers, there must be a set of 5 integers all of which have the…

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Q: how many the different Boolean functions of degree 3?

A: For Boolean functions of degree 3, that is, for 3 Boolean variables, there are 23 = 8 because for…

Q: The first step to determine the type of 1-st order diff. eq.s is using the test of each type * True…

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Q: be run under the building. If these two blocks must always be next to each other, how many s can the…

A: Given Here we have 7 blocks ,but we  have to keep 2 perticular blocks together. So we have to…

Q: Show that every odd integer is the difference between two consecutive perfect squares.

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Q: Suppose that AS B and that B has a greatest lower bound. Show that A has a greatest lower bound and…

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Q: Suppose that there are n = 2k teams in an eliminationtournament, where there are n∕2 games in the…

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Q: "There is no largest integer."

A: Given: To explain the given statement as follows,

Q: Write down the the cardinal functions for these 5 nodes , and use the Lagrange polynomials to…

A: Given- Consider the hyperbolic tangent function tanhx = expx - exp-xexpx + exp-x where x ∈ -2, 2.…

Q: Compute p(3), where p E Pol,(R) is the interpolation polynomial to the data p(1) = 1, p(1) = 4, p(2)…

A: To compute p(3), we consider there are only 2 data points (xi,yi) are given. Therefore the…

Q: Find the least natural number a with the property that the sum a + 2ā + 3a + ...+ 9a is the number…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.