Given: HD NA m2 DHN < MZANH Prove: DN < AH Proof: H A N

Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}.…

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Q: 4 is this the SAS or SSS theorem?

A: Given questions is SAS property First , we have to know to SAS or SSS property  SSS (Side-Side-Side)…

Q: Which one of the followings represents the ceiling of X? o[x] olxl o [x] o [x]

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Q: Find a value of c so that P(Z ≥ c) = 0.53. a) 0.28 b) 1.08 c) 0.08 d) −0.15 e) −0.08 f) None of the…

A: GivenP(Z≥c)=0.53

Q: Q.7) To evaluate the integral fev dx, we use the substitution : ⇒) u = x b) u = dx c) u = √x d) None…

A: This is a problem related to integral and series and sum calculation. Based on the general formula…

Q: ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble…

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Q: Prove: Given that ll Xllo sl1x|1, <vñ lIXloo for XEL". 2 Show that for

A: The matrix p- norm = operator norm                            ||A||p = Maxx≠0 || Ax||p||x||p…

Q: If X; n Ν (μ, σ) : write down the mgf of X where X1, X2,..., X, are independent and identify it i=1

A: The given information is: Xi~Nμ, σ Where X1, X2,... Xn  are independent The pdf of normal…

Q: a) For X Normal (µ, 225), and P(X ≤ 50) = 0.9871, find μ

A: Here given X follow normal distribution with mean =μ and variance = 225.

Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj…

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Q: ) How alutiino a. many ths to the eguotin X, + X2 + X3 +X4 + X5 = 10, uhere poitine integoro ? X,,…

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Q: Prove by the indirect method: Given: AMPN is not isosceles Prove: PM + PN

A: Concept used: Step of indirect proof: First assume opposite of conclusion of the statement. After…

Q: Assuming x  is an angle in the interval  [0, 2π),  draw a sample angle in standard position…

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Q: Estimate the value of S, (1– x – 4r³ + 2x) dx using 4-segment Simpson's 1/3 Rule. O 2146.7 O 2315.9…

A: Numerical integration

Q: 5n. Determine for which n n-2 For nz 2, let on =

A: Here we have to determine the n for which |an|&lt;1 for all n≥2 where an=5nn2-2

Q: 2 Q) Let A € M₁ C4) such that A² = A ENA show that det (I+A) = 2

A: If minimal polynomial is totally factorizable that is product of linear factors. Then matrix is…

Q: I For each, compute the value ,or show diseryont" (abte machinteyml i "impropar!) A = e^e 2. 2x+1 B…

A: I : For each compute the value or show divergent.  NOTE: Each integral is improper The given…

Q: 2. Show that n n var ΣΧ) ΣΣον(Χ, X ). \i=1 i=1 j=1 Compare this formula with var(X+Y) = var X+var Y…

A: The equation is Var∑i=1nXi=∑i=1n∑j=1ncovXi, Xj.

Q: For r, y, z E R. which of the following are true? O 3zVy (ry =0) O Vz3y (z? = y) None of the others…

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Q: A. USING SIMPSONS 3/8RULE WHEN N=9; AND N=14 3 cos0 (2+sin0)² Ops 2

A: Given ∫-π2π23cosθ2+sinθ2dθ

Q: Theorem:- af, X2, 13, Xy , Ng be The Yandom sample of size 5 from normal papulation. t, to = 2 t3 =…

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Q: Let a = : 3432, and b = 332. Find x, y € Z such that xa+yb = gcd(a, b). To get full marks you must…

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Q: Find c such that each of the following is true. a) p(0 c) = 0.8212

A: We have to find given z score.

Q: A fair six sided die is rolled 30 independent times. Let X be the number of ones and Y be the number…

A: A fair six-sided die is rolled 30 independent times.Let X be the  event that defines the number of…

Q: 3.) Prove that P, is a all ve ctor by showing space 10 0xioms ore

A: proof P2=a0+a1x+a2x2:a0,a1,a2∈R   is vector space over + and ×first we proof P2 is abelian group…

Q: If we reject Ho, we have found: O Evidence that μ = 2 O Evidence that μ<2 O Evidence that x<2 O…

A: The null and alternative hypotheses are: H0: µ=2 Ha: µ&lt;2

Q: Find c such that the following is true. p(z>c)=0.7054 O 0.10 O 0.43 O-0.67 O-1.08 O-0.54

A: Step 1:  Given informationGiven that the probability that z is greater than c is…

Q: 1. Let s = (001 001 001...) t = (01 01 01...) r = (10 10 10...). %3D Compute: a. d[s, t] b. d[t, r]…

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Q: The approximation of using composite Simpson's rule with n = 5 is: 17.3536 Can't be computed 16.6919…

A: According to Simpson's rule the integral can be calculated by the below formula ∫abf(x)…

Q: A traffic light at a certain intersection is green 50% of the time, yellow 10% of the time, and red…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: Work through the following steps to evaluate (² + 4x + 7)dx. a) We know that a = and b = b) Using n…

A: Note-  Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Given: HT || SF, LH = LS and HT SF Prove: AHOT ASTF

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Q: Exercise 2.10. A poset (or partially ordered set) is a relation R which is reflexive, transitive,…

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Q: Prove the given statement by the indicated method. (1). By Direct Proof: "Vm,n € Z*,+> 2."

A: ∀m, n∈ℤ+,We know square of an integer is always non-negative Hence (m-n)2≥0…

Q: r.s. 5. ! Let Let X N(µ,o²) of size n. Find an MLE for u and o?.

A: Given: x~N(μ,σ2)f(x)=1σ2πe-12x-μσ2