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Q: Let R be a commutative ring. Then R is an integral domain if and only if ab= ac implies that b = c,…

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Q: Show that

A: Our Aim is to Prove that:-111abca2b2c2=a-bb-cc-a   -(i)

Q: rank(AB) = rank(A) – dim(N(B") R(AT)) -

A: Let A∈Mm×n,B∈Mm×n The mapping A:Fn→Fm,B:Fm→Fn RankA+Nullity A=nRank B+Nullity B=qRank AB+Nullity…

Q: Show that

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Q: Show that

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Q: Suppose that E (X1) =4 What is the Mean square Err What value of p minimizes t

A: Given: E (X1)=4, V (X1) = 6E (X2)=4, V (X1) = 8 (a) Mean square error of μ^=X13+X22: Expected value…

Q: - Ca-8)" a b a of

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Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

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Q: tonte du こs ca)

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Q: find De Rf

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Q: Show that

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Q: Find the eign value and eignve u(x)= ^ Duct) ラ7ラロ x st +/ whele と (めと)=8(はリx

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Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has a = 60…

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Q: 1 Ita Į = ab

A: The objective is to show that, 11111+a1111+b=ab

Q: If (2,9)=, then f„- If f(x,y)

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Q: Show that

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Q: -1 2 sinx dx

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Q: Ex: EVALUATE Γ (2.5)

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Q: A trade magazine routinely checks the drive-through service times of fast-food restaurants. An 80%…

A: The 80% confidence interval is (174, 177.2).

Q: 14) Suppose that an honest coin is tossed ten times. What is the probability that it will come up…

A: Let p be the probability of getting head  n be the number of coin tossed  X be the number of getting…

Q: Is y= X^~2 an expon

A: Given; y=x2.

Q: The mean of the sampling distribution of means, µã =µ i.e., E(X)=u

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Q: Assume that a simple random sample has been selected from a normally distributed population. Find…

A: Formula Used: Test-statistic-t = X-μsn

Q: Let M be a proper ideal in a Boolean ring R with unity. Prove that (1) R/M is a Boolean ring and…

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Q: If x is a random variable and a and b are constants then E ( ax + b ) = aE ( x ) + b

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Q: Ch 8 Do We Achieve? A local school district recently implemented an experimental program to improve…

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

Q: d csc z = -csc z cot z dz

A: