Using laws / rules prove the following. Show all details. 1- 2- b = b (b~←d) ~(p V (~p ^ q)) = ~p ^ ~q

Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: What is the product of the following expression? (-2.2)(1.5)(-4.2)

A: Number of significant digits in the multiplication is equal to the least number of significant…

Q: Let x be a language examination score data. If x N(60, 102), find Pr{x > 70}.

A: The given question is related to Distributions. The solution to the question is explained below.

Q: 2. f0x) =D(금x-푸)+3

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Q: Evaluate in terms of beta function: (1 – +) dx. - O-8(금, 금) O-8(를, 승) O B)

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Q: a/ himit function fove/ メ A+メー be s- メ<1 X-1 @ existing and evennes Dexisting and cvennes 2. O Non…

A: Let's find limit.

Q: A function h is defined by:H(q)=aq^3+q^2+bq-240 When ?(?) is divided by (4 - q), the remainder is…

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Q: Score: of 11 > Macmillan Learning 59.390 When there are few data, we often fall back on personal…

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Q: A power function has the form: f(x) = c x x^k where c is any real number and k is an integer.…

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Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: Q18   tions, as indicated, and simplify your answer. (y+1)/(y-1)-(y-2)/(y+7)-(4)/(y^(2)+6y-7)

A: Taking LCM of denominators is the key here.

Q: QAP ~(Q^P) T-T T-F F-T F-F O O

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Q: 6. Solve the travelling salesman problem for the weighted graph shown below. a) PB De b) Bo 8. 63 7…

A: As per our guidelines we are supposed to answer only first one kindly repost other parts in the next…

Q: Simplify the expression using the prope 8y^(7)z^(5)y^(6)z^(3) Show your work there

A: We know,        x^(a).x^(b) = x^(a+b) We use this formula to evaluate the given expression.

Q: Given the function C(n) = 3n+24n³ +36n² its C-intercept is (0,0) its n-intercepts are 0,-2,-6…

A: Given:  Cn=3n4+24n3+36n2 To Find: The C-intercept and n-intercepts=?

Q: 11 y = (3x + 2)"

A: Follow next step

Q: Suppose the domain of f(x) = [-2, 3] and the domain of g(x) = [-3, 2]. %3D %3D Find the domain of…

A: Solution: Given, Domain of f(x) = [-2,3]  and domain of g(x) = [-3,2]

Q: The imput is 3,a,2,-1 and the output is a^2+1,5,2,10 what is the function

A: Let's find.

Q: (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

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Q: X~N(253, 39).  Find P(260< X < 340).  (Round to 3 decimal places.)

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Q: Where does the s+4 come from on step 2 (line 6)

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Q: T-3 A =| 3 01 -3 4 -9 ol 1. B = l-2 3 1 C =|-2 -2 D = 6 ) 7 10 3 [3 0 F = 0 6 Lo o -3. -4 5 2 20 2…

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Q: Evaluate the function y=-3•4^x over the domain {-2,-1,0,1,2,3}. As the values of the domain…

A: Function : It is a special type of relation form Set A to Set B (non empty sets) such that  Each…

Q: 2log_

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Q: Consider the parallelepiped P in R³ determined by the vectors u= [2 -1 -1], v= [3 -1 -2] and w=[-2 2…

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Q: L-1 { S2-2S+3 / (S-2)3 }

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Q: Let F ~ F4,5. Assume c₁ satisfies P(F > c₁) = 0.05 and P(F< c₂) = 0.05. Then, c₁ =_ and C₂ = (b).

A: It is given that F∼F4,5 c1 and c2 are two constants such that P(F&gt;c1)=0.05 and P(F&lt;c2)=0.05

Q: Write the formula of f(x) as the pieces. 2) y f(x) x2 x50 x20

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Q: 6s? – 13s + 2 F(s) = s(s – 1)(s – 6)

A: It is known that: L-1ks=kL-1ks-a=keatL-1a·fs+b·gs=a·L-1fs+b·L-1gs

Q: X~Uniform [0,10]. Find Prob(X>7|X>5).

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