what is sas inequality theorem

Q: Prove the inequality: P(A n B) ≥ 1 - P(A') - (B')   It reads: Probability of A intersect B is…

A: The inequality to be proved is : PA∩B≥1-PA'-PB' Proof: The PA∪B  is given as: PA∪B=PA+PB-PA∩B But…

Q: 20. A game consisting of flipping a coin ends when the player gets two heads in a row, two tails in…

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Q: What are the complete ordinates for simpson's rule?

A: Simpson's rule is given by ∫abf(x)dx=h2fx0+4fx1+2fx2+...+4fxn-1+fxnWhere,xi=a+ih

Q: How may bit strings with length 10 that has exactly three 1s and end with 0?

A: Combination: The number of ways to choose or select the items from the whole. The formula for…

Q: 3. Suppose that f(n) = 2f(n/2) + 3 when n is an even positive integer, and f(1) = 5. Find a) f(2) b)…

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Q: 3. Let U and W be subspaces of a vector space V over a field F. Prove that UUW is a subspace of V if…

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Q: Show that y = sin (1/x) has no limit as x approaches zero from either side

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Q: Write out the form of the partial fraction decomposition of the function x4 – 2x3 + x2 + 7x – 6 (a)…

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Q: Suppose an 20.If limn→∞ an+1 = L,then an 1. If 0≤ L 1,then 1 ak diverges.

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Q: 1. Suppose pseudo-random numbers are produced by using: xn+1 = (3xn + 11) mod 13. If x3= 5, find x2…

A: Given that xn=3xn+11mod13x3=5

Q: |0 1J (a) Write A in terms of A and I. (b) Find A5 for the matrix Similarly, multiplying both sides…

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Q: Problem 2. Show that J. 3 sin x -dx= (1 2 x(x² +1) If you want to use Jordan's Lemma, justify the…

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Q: 3. Find the least integer n such that f (x) is O(x") for each of these functions. a) f (x) = 2x³ +…

A: claim- find the least integer n such that fx is Oxn for each of these functions 3(a) fx=2x3+x2logx…

Q: _The Cauchy-Schwarz Inequality states .+ a%)(b} + b3 + ...+ b,) (a,b1 + azb2 + ...+ a,bn)? < (aỉ +…

A: Given

Q: (A v B) -> "C CvD

A: If A and B are statement variables , the disjunction of A and B is A v B , which is read " A or B ".…

Q: 2. Suppose that f(n) = f(n/3) + 1 when n is a positive integer divisible by 3, and f(1) = 1. Find a)…

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Q: Suppose V₁,..., Vm € V. Prove that {v₁, ..., vm}¹ = (span(v₁, ..., Vm))¹.

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Q: In a particular area 984 girls against every 1000 boys. Can we say gender equality exist?

A: Number of girls=984 Number of boys=1000

Q: 8. Give two examples of Fatou's Lemma, where one is an inequality. equality and the other a strict

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Q: 6. Suppose f :Z→Z is defined as f = {(x,4x +5):x € Z}. State the domain, codomain and range of f.…

A: From the definition of a function it follows that ℤ is the domain and codomain of f.

Q: 2. Sometimes light fixtures are controlled by more than one switch. Circuits need to be designed so…

A: Given that the circuit for a light fixture controlled by more than one switch (take 3 switches),…

Q: 12. As player salaries have increased, the cost of attending baseball games has increased…

A: Frequency Distribution: A frequency distribution is representations of data in a graphical or…

Q: Derive Hoeffding's inequality by applying McDiarmid's inequality.

A: Let  be independent random variables, and let  be a function that satisfiesfor all  where . Then for…

Q: n 3 VnEN, V₁ER et >> ex k=0 xk k!

A: Inequality: When there is a comparison between two values, we use inequality signs e.g., ≥, ≤, &gt;,…

Q: Explain the Cauchy–Schwarz Inequality?

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Q: 4. Prove that 3"< n! if n is an integer greater than 6.

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: b. Hypotheses: If there is gas in the car, then I will go to the store. If I go to the store, then I…

A: The objective is to prove using the rules of inference

Q: 5. Use the Euclidean algorithm to find a) gcd(14, 28) b) gcd(8, 28) c) gcd(100, 101) d) ged(28,35)…

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Q: 5. Napier's inequality Here are two pictorial prools that 1 Inb Ina - b > a > 0 Explain what is…

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Q: be such that Ca,m)=1, Let thE N and a,be Z Cb ,m) = ), and Cab, m)=\. Let j= Om Ca); k= Om(b) and n=…

A: Let m,n∈ℕ and a,b∈ℤ such that a,m=1, b,m=1 and ab,m=1 Suppose j=Oma, k=Omb and n=Omab Again, let…