25. is odd then Bernoulli's ineq we say if n is even?

Q: 8. Which of the following is the value of (-3)? i=2 (1) 42 (3) 51 (2) 49 (4) 56

A: We have to solve the problem

Q: 2.15 For what values of n is (n) odd?

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Q: B = {x ER: x is a counting number} = {1,2,3,...} C = {x ER: x = 2n + 1 where n is a nonnegative…

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Q: 6. a) Deduce the value of) ().

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Q: 22. If n(A) = 35, n(B) = 22 and n(AUB) = 40 then find n(AB) m

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Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: 5. Let r <0 be a negative real number. Use the Archimedean property to prove that there is an n EN…

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Q: 22) AHDE = □not possible H G 4 by

A: Given

Q: 3. Let n E Z be odd. Show that there exist two consecutive integers such that their sum is equal to…

A: Given n be a odd integer. Which is of the form n= 2k+1, k is an integer.

Q: Ha: μ< 16 Ο Ho: μ< 16 Ο Ha: μ#16 Ο Ho: μ= 16.

A: Null and alternative hypothesis is denoted by H0 and Ha

Q: 9. Establish the Bernoulli inequality: If 1 + a > for all n ≥ 1. (1+a)" 0, then 1+ na

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Q: : Jhat is he nodies onuegence

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Q: . Show that n! > 3ª for n> 7.

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Q: P. IN 0 -24 -20 5 2=1,4 1. -1 9 - - 1 O A. For P = 10 4 Click to select and enter your answer(s) and…

A: The required P matrix has been obtained from digonilization of given matrix in step 2 and step 3.

Q: 20. Which statement represents the relationship between P = {9, 11, 13, 15, 17) and Q = (2, 4, 6, 8,…

A: As per guidelines we are supposed to answer first question only please repost the Other question.

Q: 5.1 Consider the statement: "Let a e N. If a² is an even number, then a is an even number". Choose a…

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Q: 10.According to Morgan's Laws, p q is equivalent to -(p v q). A

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Q: 7) ind the aes of the shaded m The ph d thendd mean and tandand deviant -180 147

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Q: 1. +1 Select one: a. th n! b. tn-1 (n 1)! C. n! tn+1 d. n! th-1 e. t+1 (n +1)!

A: Solution:-    L-11sn+1  ∵we know  that:-By using Laplace properties:-

Q: n+1 sup { , ne N} = 1. Select one: True False

A: The given set is                                  n+1n, n∈ℕ

Q: 4= Acosu +Bsiox and y(a)-5 thenA=-

A: Substitute x=π in equation y=Acosx+Bsinx. y=Acosx+Bsinxyπ=Acosπ+Bsinπ ⋯ (1)

Q: ek 5. Let a = pt¹ …pºk, and b = pf¹ ...pf, where p; are prime numbers, and ei, fi ≥ 0. Show that…

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Q: 3. Suppose that ar = -2 and Sbe 25. Find the value of -2 and Ebe k=1 k=1 10 b. (b — За;) a. k=1 10…

A: a) We can factor out 1/4 since it does not depend on k. Then plug the value of sum of a_k.

Q: diverges. . Determine wether.the.semies.converyes.co.. .b.(.n.) .C... n³+ 3

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Q: 13. Find PS. 39 76 28

A: value of PS is 21.37 approx see the calculation below

Q: Suppose that µ is the measure defined in item 3. What is µ(O) where O is the set of natural odd…

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Q: Gu Sind values ofx in following fue 21 o Sgn Cx J =llo 22 3. sgn(x²x-2)= -\ 23 24

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Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: If n(A) = 10, n(B) = 14 and n(AB) = 3, what is n(AUB)?

A: Given that nA=10, nB=14 and nA∩B=3. To find the value of nA∪B.

Q: Which choice gives an example that supports the conjecture, and a counterexample that shows the…

A: The objective is to select the correct option from the given options. Given that, for any real…

Q: 6. * sin 20 de = (2n)! TT or mor boni (n = 1, 2,...). 22n (n!)2 aoloq to

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: 5. Prove that the following are irrational: E-2-3', £-12¬!.

A: Expand the given functions and then determine their values. If the values are irrational then the…

Q: Given this formula 1 ARL, where B = SLCL NC41,dx 1-B

A: Given information, β=∫LCLUCLNμ1, sndx¯ UCL=0.2002 LCL=0.1918 mean=0.1985 s=0.001392 n=240…

Q: 12. Let the "Fibonacci-2" numbers g, be defined as follows: 91 = 2, 92 = 2, and gn+2 =( In+1)( In)…

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Q: 11. Establish the following relation between Fibonacci and Lucas numbers: L, = un + 2un-1 for all n…

A: Remark: We know that both the Fibonacci numbers and  Lucas numbers are obtained as the sum of its…

Q: 5. A B Suppose that P(A)=0.4, P(B)=0.5 and P(AUB) = 0.42. Are A and B independen Yes, A and B are…

A: Given that  P(A) = 0.4 , P(B) = 0.5

Q: 8 = 1, EN 7 **** 1'2' M 1" nnn € N

A: