If d is a positive and not perfect square integer in [6,8]. Assume that √d = [ao; a₁, a₂, 3, 1, a5]

Q: A D 6. Calculate the standard deviation of the set of data to two decimal places. Refer to the…

A: The objective is to find the standard deviation of given set of data.

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: 4. Calculate the variance of the set of data to two decimal places. Refer to the previous problems.…

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Q: Show that the square of any positive Integer is of the form 3m or 3m+1 for some integer m

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Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: Show that if A is square, then |detA| is the product of the singular values of A

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Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B

A: Set of Each entry in 2 tuple in the below table is Cartesian product of A and B

Q: Let a and d be integers. Prove that if d|(8a+7)and d|(5a+4), then d|3

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Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: Use z = a + bi and w = c + di to show that z + w =7 + W.

A: Consider a complex number z=a+bi Then, the complex conjugate of above complex number is given by:…

Q: Suppose s and t are distinct natural numbers. Show that lcm(s, t) + lcm(s+1, t+1) > 2st/(sqr(|s −…

A: Given: s and t are distinct natural numbersTo prove: lcm(s, t)+lcm(s+1, t+1)>2sts-t

Q: Test ) what are the real roots of 43x+4 + J3x-6 the equation =10 %3D

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Is 3 A m, m being any real number, possible? Explain. [IC]

A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: Perform the indicated operations. Write the answer using only positive exponents. Assume all…

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Q: Is it possible to find a number  n  such that is ∫0∞  xn dxconvergent?

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Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

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Q: Let a and b be integers so that (a, b) = 1. Prove that (a + b, a – b) divides 2.

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Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

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Q: Which set consists the possible rational roots of x + 4x - 2x +8 0? A 11, 18 B. 11, 12, 14 C. 11,…

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Q: Let a, b and c be integers. Prove that if a does not divide b and a|(b+c), then a does not divide c

A: Let a, b and c be integers.

Q: Let x be a real number. If 2x2 + 1 is irrational, prove that x is irrational.

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Q: Show that if a > b, and a, b i= 0, then b- 1 > a - 1, provided that a and b have the same…

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Q: Let a, b, and c be natural numbers. Prove a ∙ (b + c) = a ∙b + a ∙ c.

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Q: Prove that there is no triangular number which is one less than a multiple of 11.

A: Introduction: A triangular number is a positive integer that is the average of two integers. For…

Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

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Q: Let f(z) be a rational function with no poles on the positive real axis, and suppose that lim Pf(z)…

A: As per the question we are given an importer integral and we have to find a generalized formula to…

Q: 10. Solve the problems. Use the graph for the standard deviation points. In a fishing contest, the…

A: Given that: Mean = 16.40 in Standard deviation = 4.71 in  To determine the percent of the fish…

Q: Let V be all elements of R2 that have the form (a, a2) where a is a real number. Show that (3,9) is…

A: Let V be all elements of R2 that have the form (a, a2) where a is a real number. We have show that…

Q: Let u= and v=2i+j-2k. Please type in length |w| of w=2u-v. Please type (integer) number only

A: Given u=1,2,1 and v=2i+j−2k And w=2u−v We have to find the length w Here, u=i+2j+k…

Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

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Q: d = (a, b, c).

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: let a, b, and m be integer, prove that if 2a+3b>=12m+1, than a>=3m+1, or b>=2m+1

A: To prove: For integer a, b, and m if   2a+3b≥12m+1Than, either a≥3m+1, or b≥2m+1.

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

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