5. Prove the following statements by indu (a) For all integers n20, the number 52n- 3" is a multiple of 11. (b) For any integer n ≥ 1, the integer 24-1 ends with an 8. (c) The sum of the cubes of three consecutive positive integers is a al. ways a multiple of 9. (d) If x ≥ 2 is a real number and n 21 is an integer, then xnx. integer, then 5"> 4" +3n+2n.

Q: et A = PDP 1 and P and D as shown belo 1 2 1 0 P = 3 5 0 2

A:

Q: Let A=(1, 0), B=(0, 1), C=(1, 1), and D=(r, 1). Verify that R(A, B, C, D) = r.

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Q: Write what is Cohen’s Guidelines for d?

A: The formula for Cohen's d value is obtained below:

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: A polling company wants to test the time (in minutes) required to run two different versions of a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If u = 7 then uu? and u'u =

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Q: Show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

A: To show that the group <a, b | a^5 = b^2 = e, ba = a^2b> is isomorphic to Z2, we need to…

Q: Show that is isomorphic to Z2.

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Q: What must be true about a for a² = ab to imply that a = = b? a = ○a‡0 a> 0 a>0

A: