Write the equation of the line in fully simplified slope-intercept form. 12 10 12-11-10-9 -8 -7 -6 8 9 10 1 12 10

Q: d. ( 15 %3D -3 y

A: in this question formulas used are- X^a/X^b = X^a-b 1/X^a = X^-a

Q: 3. ~Q → (~P V Q) P F F F F

A:

Q: P (A) a, P (B) b and P (P (AB)- c then the expression of P (A'B')in erms of a, b and c is:

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Q: If A- A = I, then (4-1) = %3D

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Q: In(u)

A: We are asked to integrate the given

Q: 4. (~P v Q) → P T F F F F

A: A logical or statement gives a false output when both of the two statements are false and given true…

Q: Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

A: There are three events. These are E, F, G. The objective is to show that,

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: 5. Show that () = () +().

A:

Q: For each statement, either prove that it is true or come up with a counter example N(ATA) = N(A) ● •…

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Q: (12) 1. A (BC) . 2. (13) 1. ~ (CA)/:. ~B (A-B) v (C-D) 2. ~Al.. C (14) 1. Dv~ A 2. 3. ~(A.~B) ~ C…

A: Solution:

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error 0.953…

A: Here the total number of observations = n = 20 Response variable : y : Teacher's salary Predictor…

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 1. [-(p A -q)] V -r

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Q: If f(a, b) = eab (ab + a), show that fûû(a, b) — àƒÂ(a,b) = a²eab

A: We can solve this as follows:

Q: Find the Value of ? P(a, b): a^ bv ( !a ^!b) ^ b == b Va (Vb P(a, b) ) == ? 3a (3b P(a, b) ) == ? a…

A: For any P,  P v !P = T                    P ^ !P = F Hence, a = {T, F} Again for any R,  R ^ !R = F…

Q: If X ~ U(3,7), then P(X = 4) ≠ P(X = 7) true or false

A: X~U3,7

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

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Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: Evaluate (Csch(In 1.5) 10*+1 Usinh(Ino.5) 10x-1 A. 2.9764 В. 3.7265 C. 4.1508 D. 1.8751 Evaluate…

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Q: B/Determine: s²+95+2 1.2-[ (5+3)(8-1)2 2.2-1 [ 词 8+1 ((x-1)82)

A: We have to find the inverse Laplace transform. 1. L-1s2+9s+2s+3s-12 2. L-1s+1s-1s2

Q: To show B(m,n)=+x²² -dx (1+x)"¹"

A:

Q: If a, = n(a, -1) and a, = 1, what is the value of (1) 5 (3) 120 (2) 20 (4) 720

A: Here we have,

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

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Q: 8]T T √r² +4

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Q: ) g)=マーSr -2-Sr g(カー

A: solution

Q: Suppose X~N (μ,σ') then X – H - - N (0, 1) o2 O True O False

A:

Q: 元 (1)

A: "Since yu have asked multiple question, we will solve the fist question for you.if you want any…

Q: lime Sinc@3 Jの1-

A:

Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: i+?) tan'군 %3D

A: We have to prove following identities

Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

A:

Q: ( − 1,1) n [04]

A: To find intersection between given two intervals.

Q: Evaluate E= Z and q2 = 1-P₂ E= A A P₁91 P2 92 + n₁ n₂ A A X1 for z* = 2.575, x₁ = 35, x₂ = 96, n₁ =…

A: The question is about margin of error Given : z* = 2.575 x1 = 35 x2 = 96 n1 = 40 n2 = 113   To find…

Q: Find the Centroid tor the Shaded area. [Q2] 120 r=5 150 6 30 90 130

A: Solution to Question (1) Given a shaded area with dimensions,we have to find the centroid of that…

Q: T(-1,5) Г(3) 4 - .a 3 6. .b

A:

Q: Which of the following expressions is written in normal form?       (P AND Q) OR ((P OR R') AND…

A: In normal form no conplement will use in place of complememt we write with NOT So option first is…