Property 1. Algebraic sum of the deviations of a set of values from their arithmetic mean IS zero. If x; 1 fi, i = 1, 2, .., n is the frequency distribution, then 77 E fi (x: - x) = 0, x being the mean of distribution. %3D

Q: What are the right three digits of 3402? Hint. Use Euler's theorem. What is o(1000)?

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Q: Show that 5+6Z is a unit in Z/6Z.

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Q: Prove that {i} = I. ¡El

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Q: R² = gen gen

A: see below the reason

Q: (4b) Is Tâ onto? How do we know?

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Q: Prove that C5 is isomorphic to its complement.

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Q: 11) Simplify the following with both versions of the Fundamental Theorem of Calculus: e2t dt dx…

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A: The objective of this question is to find the greatest common divisor (gcd) of 356250895 and…

Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: 14. Prove that AC B if and only if An BC= 0.

A: The objective is to prove the above question.

Q: Use Gauss Lemma to compute the following Legendre symbols: (a) (b) 19 23

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Q: Prove that for any set ACR and any real number a we have m* (A +a)= m* (A).

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Q: Prove, without using any results from the chapter notes, that for all z = C, z² = 2².

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Q: beta

A: According to the question,        First,  define some of the terms for…

Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: 1) D Prove that 224 O 210

A: