Question 11 A virus has infected 1.8% of a population. A test detects this virus 95% of the time when it is present, but it returns a false pesitive 3% of the time when the virus is not present, if a person selected at random from this population tests positive for the virus, what is the probability that this person 's actually infected? O 043 O 0.37 O 0.56 O 0.71 R on t1 of 20 Moving to another question will ave The response 834 P A IN 0

Q: 7.2-9

A: Solution: The percentage of body fat measured at the beginning of the semester and at the end of the…

Q: 14. L1+ 2t- 3

A: Given The given expression is  Apply Laplace transform formula.

Q: 3-5(4x + 7)

A:

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: 8. Solve for x. 3 4 16

A:

Q: 18. -5

A:

Q: 10. (x² – 2y)³ 3

A: Given,          x2-2y3

Q: 25. 1 | 1 1 + 1 - 1

A: Solution is done in step 2

Q: 1 6. V1+ Vrdx 0,

A: Step: 1 Given that  ∫011+xdxTake y=∫011+xdx---(1) let 1+x=t⇒x=t-1---(2)differentiating on both…

Q: Find .6 7 LT." 3 4 xy dydx.

A: Given that the integral ∫36∫47xy dydx. Find the value of given integral.

Q: Sec o

A: The solution is given in the next step.

Q: a) : ?

A: here differentiate both sides with respect to x.

Q: 4.5-10

A: Introduction: Suppose X and Y follow the bivariate normal distribution with mean and variance of X…

Q: -2.4≥ x/5

A: We have to solve for x

Q: Solve for x 3.2

A:

Q: 6. 3V54 – 2/2 + 7/-16

A: 3*543-223+7-1633*543=3*3.7797=11.33922*23=2*1.2599=2.51987*-163=7*-2.5198=-17.6386

Q: k2. 7k + 10 k2. 3k k2 + Sk + 15 k2 - 4k - 12

A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: similar: 2x 12. 12: y+ 4 20 15

A: Topic:- geometry

Q: 3. 2(2x2 + у?)dx — хуdy %3D0. |

A:

Q: 22. 2e' dt 2t

A:

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: Given the differential equation 2y'+y=3t. To find: (a) to draw a direction field for the give…

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: 3. Зх-18 х - 7 х- 7

A: Given Expression: 3x+3x-7=3x-18x-7 Let us multiply and divide the first term by (x-7)…

Q: 2 (x-3) -1= 3°(x to ) :

A: Simply do the algebraically calculation and determine x.

Q: 9. 6 < 2x + 2

A:

Q: 12. Sx-7 4x-1

A:

Q: 10. x2 + x2 = x4

A:

Q: 10.1-2 q 6

A: Image is attached with detailed solution.

Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 一 tp人 川

A: Given,           y'=x+1y4+1

Q: 1. (1 +V)*dz 2. (22 – 2) dr

A: Solve the following

Q: 4(2w - 5) = 5w + 4 %3D

A: Here we have,  4(2w-5)=5w+4 ................................ (1)

Q: 7.) -3- %3D 10 2'

A: .

Q: 78 54 10

A:

Q: 15. 2x - 12 4 – x

A: