Consumer Reports has decided to test the efficacy of 4 different ant sprays. They take ran 8 trials for each brand and measure how many a killed by each brand after 5 mL are administered. Below are variance statistics, SS total = 30541.88 SS within = 12010.5 What is the SSbetween?

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: Give an example of C = diag(c1, C2, C3) and D = diag(dı, d2, d3) where Tr(C) det(D), but C is not…

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Q: (d) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b,…

A: e) Consider the following table for necessary calculations. y x x2 12 22 484 22…

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

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Q: n! (4). Show that, (22) = 2(22) + n²

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Q: 6x 3x 5y 2. 5y 6x-4 3. + 3r+8 1ly 11y

A: Given that: 6x5y-3x5y To solve, Apply  rule:  ac±bc=a±bc6x5y-3x5y=6x-3x5y=3x5y

Q: 2 – |- 2(x + 1) – –s-+ 3x X-3 5х-3

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Q: 4. Find the coordinate of point X such that ratio of MX to XJ is 3:1.

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Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: 3. (a) 5e (b) 2e-21

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A: Given:(-5+5i)+(-6-7i) To perform complex number addition add real and imaginary terms.

Q: D = 3 1 50-4 -4 5 3

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Q: In the morning section of a calculus course, 2 of the 9 women and 2 of the 10 men receive the grade…

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Q: S3 ¹(s²-2s+2)(s²+2s+2)· e. L-11 7

A: In this question, we need to find the inverse Laplace of the given function.

Q: (24) Half the product of a number t and 48

A: The objective is to half the product of a number t and 48.

Q: Compute A-413 and (413)A, where A = A-413 = 6 - 4 - 3 - 2 4 3 - 6 1 3

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Q: L[t?e-3t] = ? 3! 3! (s+3)2 (s+3)3 2! 2! (s+3)2 (s+3)3

A: To find- ℒt2e-3t = ?     Formula Used-  ℒtneat = n!s - an+1

Q: Find L-1 [.

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Q: 45 73 73 17 13 43 )0 (B) 2 (C) 7. (D) 8 (E) 9

A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…

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A: Given: x3-5-y3 Formula Used: ab-cb=a-cb

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Q: 1 2. Find L-1 [ s2-8s+25

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Q: Questions (d)-(f) have not been answered.

A: d) We have given that Confidence level (c) = 99% = 0.99Significance level (α) = 1- 0.99 = 0.01  n =…

Q: yes, I got it right! Thank you for such clarity on this!

A: Your welcome.

Q: [3re² 3re²z dx = C

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Q: Evaluate L{- (s2+ 64) (s – 6) |

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Q: 7 10 0 3 9 5 [E] = -4 4 3 [D] = 4 8 -3 -5 1 2 -6 -7 -8 3[E] – 2[D] =

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Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…

Q: (3x–1)}

A: Given,          (3x-1)3