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Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 2. Show that by using MEAN VALUE THEOREM . u-v < tan-1 v - tanu < if 1+v2 u-v 1+p2 0< u<v and ded…

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Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: QI Determine a condition on Ix - 11 that will assure that |a* – 1|< 2

A: Given,x4-1&lt;12

Q: nain of T is R" and the codomain is R', what are the values nsformation one-to-one? Briefly say why…

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Q: Verify that He follow egunbin is an ielartiky Fan o -sino 2 tano

A: We will use various trigonometric formulas to answer this

Q: Decide whether the following not proposition îs true ; " There exists no positive întegers ^ Such…

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Q: , Giran me qiven family of ines for b=0, I, I 3, I6

A: Graph of  y = -2x y = -2x -1 y = -2x +1 y = -2x -3 y = -2x +3 y = -2x -6 y = -2x +6

Q: Suppose you are given four natural numbers w, x, y,z e N such that w>x and y > z. Show that ly – w|…

A: It is given that w, x, y, z are natural numbers such that w&gt;x and y&gt;z. Now we want to show…

Q: Prove using the IVT,  √2 exists.

A: To prove using IVT, 2 exists.

Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

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Q: Prove H'n(x) = 2nHn−1(x), n = 0, 1, . . .

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Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: in in Signed-Rank Test a two-sided alternative, we may reject H0 in favor of H1 if either w+ or w-,…

A: Signed rank test for  two tailedHo:M≠Mowe reject Ho, if W+≤Wα and W-≤Wα

Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: let X=R and R={Caro): a ER 3U {8IR3 C Right way totolyy) c heck Ris

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Q: 94) Show that F= ;². ?' is Consenvatwe and gind potintial - the sealar

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Q: Prove %3D 11

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Q: as ation of $713. Perform a h lies be sample 1 and urbar vpotheses are: > l2(claim) < µ2(claim)

A: The objective is to test the claim that the average income of rural families is different than that…

Q: Q: Prove that tim %3D

A: We have to prove the limit

Q: 9. Let u AB and v = =PQ where A=(-4, 6), B = (3, 3), P = (4, 5) and Q = (-3, 8). Can you verify that…

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

Q: 3. Prove the pythagorean Theorem

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Q: Queston #o 4 Show that X, Ixe, where x, and Xe E IR X= (1,1,1, -1) Xz = (4,2,2, -1) %3D

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Q: According to this information the null and alternative hypotheses are: Select one: Ο . Η9 μ 65 O d.…

A: Here use claim in null hypothesis and complement  of null hypothesis is in alternative hypothesis

Q: let (RiZ) be the usual top on et B-1 ineN] Find B.

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Q: 3) Let O# a ER". Then that a' ERTI prove

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Q: see the equation as attached here

A: Solution:Given    0&lt;an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: let X be 4-VV flon)= To Finel ECX) oedECXY)

A: f(x) = x/10 where xx = 1,2,3,4

Q: Prove that • I %3D

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Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

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Q: Suppose that, based on your roommate's expert knowledge, you set the ROPE for O at (-5, 5). Suppose…

A: We always consider a ROPE around a null value of a parameter Here, we set ROPE for θ at (-5,5 )…

Q: Prove that if PQ≅RS and RS≅UV then PQ≅UV in the simplest way possible. Please do not use any example…

A: Congruent relation is an equivalence relation. So, congruent relation is a reflexive, symmetric and…

Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

Q: - Suppose itat ". *, are foot chebjshev poy nomial T,So detdmin irtelpola ting rol, nomal -f Tthe…

A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

Q: ху • prove that x +y Example If z = az dz + y.- Əx х. ду

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Q: (a, 0) is not measurable.

A: In this question, we check the given set is measurable or not. here we use the condition of Lebesgue…

Q: let t={usx8 x-uiscoantableiuioi then Tis called Tcof

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Q: Which of the following is not included in the "Organon" whichn is a manual for Aristotle's…

A: Aristotle’s six logical treatises into a sort of manual they called the Organon (Greek for…

Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

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Q: 4 in [2, 4] sat theorem, ther

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Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

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Q: Let A=(aij)nxn be symmetric and positive definite. Show that laul< (anan), , lis = 1,2,..n 9

A: Given: Let us consider the given, A=aijn×n Let's prove that aij&lt;aiiajj12,i,j=1,2,...,n.

Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

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

Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Consider the folowing diforential eguaion %3D Solve the diffirential rquation

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Q: A prove that Newboń's for ward formal?

A: Note: Since you are asking the prove for Newton's forward interpolation, but the given formula is…

Q: Given that Z - N(O, 1) use tables to evaluate correct to three decimal places then P(1.24 < Z <…

A: Required probability is P(1.24&lt;Z&lt;2.36)

Q: For what values of aand b is {u, v} an orthonormal set?

A: A set of vectors form an orthonormal set if all the vectors in the set are mutually orthogonal and…