Find the values of a so that 20 42 Σ k4 + (2a – 1)k² + a? k=1 425 -

Q: 1. a|b iff ac\bc, where c # 0. 2. If alc and a+ b= c, then a|b. 3. 7|23n – 1, Vn € N -

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Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively.Prove that S3=3(S2-S1)

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Q: Show that if x > 9, then x³ – 8x? + 2x > 3. Show that for all n e N, if n > 10, then nª – 2n² > 3n³.

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Q: µ = 3, o² = 9, P(−6 < X <12) a. Determine P(µ − ko < X < µ+ ko) ≥ 1 − 1/k²

A: The question is about Chebyshev's inequality Given : μ = 3 σ2 = 9 So, σ = 3 .... by taking square…

Q: (b) If P ú prime PXa and Pl ab. show that Pib using linear combination What ĥ c a; P) ?

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Q: Q-3 If P(A) 0.2, P(B) = 0.3, and P(A n B) = 0.1, determine the following probabi а. Р(А' U B) b. P(A…

A: We have given that,  P(A) = 0.2, P(B) = 0.3 and P(A ∩ B) = 0.1 Then,  We will find the following…

Q: Which of the following statement is always true? (a) p(2n) = p(n) (b) p(n) is always even. (c) Edin…

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Q: 2. and IK M 28 X. 54 42 35 K 2. Given A UK - A LMN, find the of U

A: Topic = Triangles

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: Choose the wright answer for: L(e^5t) * O 2/(s+5) O 5/(S-1) O 1/(s+5) O 5/(s+2) Non of These

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Q: Q: Find the gcd (a, b) and find two integers x and y suchthat gcd(a, b) = ax + by. Ex.(i): a = 901…

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Q: Q/usethe Fibona ccimethod to Solve thefrablem In four stefs uPslon Min fo=X+ [ze27,6-1] and E=ort 25…

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Q: In the figure shown, CF intersects AD and EH at points B and F, respectively. B G Complete the proof…

A: To complete the proof

Q: Given u = -6i + 6j + 6k and w = -2i + 3j + k. Find Ju – w| V50 None of these 4

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Q: Use the substitution method to show that the solution of T(n) = 2T(n/3) + n2is O(n2)

A: Given that T(n)=2Tn3+n2 To show that it is O(n2).

Q: ab 25 then fin d Z=3

A: We have, 5a = 3 3b = 7 To evaluate : The value of 25ab

Q: It is given that X~N( 30, 5). Find P(27<X<33) O a. 0.4514 O b. 0.5486 O c. 0.2743

A: Given data,Mean μ=30sd     σ=5P(27&lt;X&lt;33)=?

Q: Given that Z - N (0,1), find k if P(\Z| < k) = 0.8. %3D O 1.282 O -0.253 O 0.842 O -4.5

A: We have given that  Standard normal i.e, Z~N(0, 1).

Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: (0. }). (c) C = {p : p is prime). (d) D = (-0, –1). (a) A = (b) B = {-1,1}.

A: A countable set is a set with the same cardinality as some subset of the set of natural numbers. A…

Q: C GIVEN: AC = BC, AD = BD, AEC, and BDE. PROVE: a XCAD = 4CBD. E b AD> DE. B

A: Given triangle ABC, Inside triangle there is another triangle ADB. Given AC = BC, AD = BD, AEC = BDE…

Q: q² – 1 19. Find if p= In dą

A: By means of calculating derivative of any function of a real variable we measure the…

Q: 5 Given: 21 (x + 7)º, L2 = (2x − 3). ZABC = (x²), ZD = (5x-4)° Show that ZABC= ZD. Ĉ

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Q: Find the value of k for which A is symmetric: 1 4 3k A = 4 27 %3D 29 12 7k +1 9.

A: We have to find value k

Q: 4. beams of banticelon vaslety the freaencyo cohereand For c00 of bheath (in m.m) has d •093, 72 =…

A: Here the sample size , n = 600 (very large) Generally if the skewness of a curve is from -0.5 to 0.5…

Q: Given that Z- N(0, 1), find the value of m, given that: (a) P(m <2< 2.878) = 0.4968 (b) P(-0.674 < Z…

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Q: the value(s) of c such that 3c2n n=0

A: The given question is taken from the sequence and series in which we have to find the value of the c…

Q: Q2) n(x) = x1 , kx) = (x – 1)/2 , %3D %3D | 1-(8 + x) Find a formula for ( monok).

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Q: -A) Suppose 1 3 Suppose A-() and Bel 29 if cCA) =cCB) then a is- equalL bo ?a=4/a=\/a=6la=2?

A: Note: We can allowed to solve one question at a time so kindly upload rest of the questions one at a…

Q: Use linearity and the formulas E j = N(N+1) N(N+1)(2N+1) %3D and E, = N?(N+1)? to evaluate the sum.…

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Q: en b. In³ + n)n%=1

A: Explanation of the answer is as follows

Q: D Halley draws a picture to show 8 ÷ 2. Which picture could be Halley's? Done ->

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Q: 2) Given: 00 with AB BC; mZAOC-130 Find: a) m AB b) m AC e) mZABC e) mZ BCO

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Q: 23 The value of cot Scot Scott n=1 (a) 23/25 (b) 25/23 (c) 23/24 n 1+ Σ2k k=1 is (d) 24/23

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Q: HW/ O Find A. B , AXB For A= (+ 3j+2K

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: z(k, l) = 4*µk+l. %3D essions of this form allows the conclusion z(k, l) = 4* f(k + l),

A: Given that, zk+l=4kμk+l                   (1)

Q: 3n 77 fonksiyonunun aralığındaki değeri aşağıdakilerden hangisidir? -3 A) 3 B) C)= D)- E) 6.

A: The given function is  f(x) = |sinx| Interval is given as 3pi/2 to 7pi/3

Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: (a) Show that k = 21. 1 (b) Find P(X < 2). (c) Find P(X = 2).

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Q: Suppose that P(A|B) = 0.3, P(A n Bº) = 0.10 and P(A) = 0.25. What is P(B) =? %3D %3D

A: Given that P(A|B) = 0.3 P(A and Bc) = 0.10 And P(A) = 0.10

Q: 18. ДАВС ~ ADBA Find m and n. A De 4 3. B.

A: We have to find the m and n

Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

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Q: n the diagram of AABC and ADEF below, AB DE A ZD, and ZB ZE. Which method can be used p prove AABC…

A: In this congruency of triangle we can use ASA

Q: 3n-2m Then sup(C) = Let C = :n, m EN nm

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Q: 2 Q2) If A = ( , 3 and B = 1 2 ), what value(s) of k that will -3 k. make AB = BA?

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Q: Find all m, n E N such that: n! + 2n + 49 = m²

A: This problem can be solved by graphical approach. Use a graphing utility to plot the graph of…

Q: : Determine the value of k so that the following sys- tem has a solution 2.1 + 2r2 + 3ag = 0 4ri +…

A: The solution to the system of linear equations can be calculated by solving the system using linear…

Q: The value of b for which enb Select one: a. In b. eln In 10 d. -e 6. Shot by Hisense H12 oices 1/9

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