The table below shows the predicted testing outcome for a disease that affects 2% of a population, and has 90% accuracy rate. Has Disease Does Not Have Disease Total 15.5% Given you received a positive test, which of the following represents the probability that you do not have the disease? 0.2% Positive Test Negative Test Total 2 20 882 980 884 1000 99.8% 18 98 116 This is Given-, has the disease 84.5%

Q: 3. The linear system has the following direction field. 5 Figure 3: direction field for the system…

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A: Sol:- transform x3 to 34x+33-2Move:  Move 3 units to the lefty = fx + CMove fx to the left C…

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Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

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

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Q: mial Theorem umerical coefficient of the middle C₁ 54 C5-55 C6 56 C5 5 10

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A: Solution:Total Equations are 46w-2x+0y-z=5→(1)0w+6x+0y-5z=1→(2)0w-4x-y+2z=-7→(3)-2w-x+3y+6z=-9→(4)…

Q: Identify the region of integration for the following integral. 1-cose [S rsin@cose dr de

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A: Given information  Points:-  x0 =-1,  x1=0   and  x2 =1 Newton polynomial :- P2x=-12x2+x-5  Note:-…

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A: Given vector is b = 1324-5

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A: Solution:

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Q: (2) Find the integral (0,2,0) and (0,0,1). where D is the tetrahedron with vertices (0,0,0),…

A: Given : ∬∫x+2y+z dV             where D is  tetrahedron with vertices 0 ,0 ,0  , 1 , 0 , 0  , 0, 2 ,…

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Q: (4) Let S be a solid that lies between x = a and x = b. If the cross-sectional area of Sin the plane…

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Q: Consider the function f(x): = 2x+1' We approximate f(x) by the Lagrange interpolating polynomial P₂…

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Q: O allet y be the orthogonal projection of y onto W. Then y depends on W and not on the

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Q: The approximation of the root x* of the function f(x) = -x + sinx-1 accurate to within 10-3 using…

A: Needs 2 iterations

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Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. ∞ 2)…

A: We have to determine whether the series is convergent or divergent

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = 2y+3y" - 3y - 2y = et,…

A: The initial value problem is :                                              2y'''+3y''-3y'-2y =e-t,…

Q: Why would a sine function be used to model the number of daylight hours?

A: As we know that, the number of daylight hours is a periodic phenomena i.e. the process of the…

Q: How to simplify the expression: ¬q∧(p⇒q)

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A: Sol: Px=20x4-7x3Since it approximate the function -1,1Approximation of ∫-11fxdx mus t be equal to…

Q: Which of the following statements is (are) false, assuming that all vectors are in R"? O Statements…

A: We use orthogonal decomposition theorem here .

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Q: 15. Determine the coefficient of the term that contains 16 in the expansion of 11 (2²+5) ¹¹

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Q: Ramir can do a job in 0.5x hr, Paul can do it in x hrs and Dona can do it in 1.5x hours. Working…

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