Explain what the following two formulas are used for and why both are needed. O: Σ(x - μ) N VS. S = Σ(X-M)² n-1

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A: Explanation of the answer is as follows

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A: The pooled variance is calculated as follows. sp2=n1-1s12+n2-1s22n1+n2-2=15-1×92+15-1×5215+15-2=53

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A:

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A: The given question as belonging to the calculus in which we have to find the value of the given…

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A: ∫x3-6dxx4-24x+3

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Q: S Vī dx (2/3) x3/2 + c O (3/2) x3/2 + c (2/3) x2/3 + c O none of the above

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A: First partition the domain for mod function then integrate accordingly

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A: Solve by integra

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Q: Expand the following expressions, TC(q) - 2TR(q) – FC (q) 5q – (3 – 2q)3 1 – ln (e2/9-x)2

A: we use some important formula given as below Part(a)  TC(q) -2TR(q) -FC(q)    Part(b) --

Q: Find x.

A: The given triangle is as follows:

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A: Given- ∫x3x2+14 To find- The value of the integral

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Q: Evaluate the formula χ2=(n−1)s2σ2 when σ=2.43​, n=42​, and s=3.35.

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Q: Prove the Identity H8= A(++÷)(1+ 4) %3D 2.

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A: Note:- Since you asked multiple solutions ,according to our policy we can solve only first question…

Q: 4 Let A = -1 19 Then 6. -1 -30. det(A) =

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