Given n(U)=60​, n(A)=31​, n(B)=17​, and n(A ∩ B)=8​  find n(AuB)'

Q: Suppose P(A) = 0.24 and P(B’ ) = 0.48   (a) Find P(A ∪ B) if A and B are independent. (b) Find…

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Q: Find T 1 = -1 wwwman x² dx + C

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Q: L-1{1} = Select one: O a. d(t) O b. Zero O c.u(t) O d. 1 ||

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Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: Evaluate I 5/2 U (4-u) du · Su² 3/2

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Q: Suppose that P(Xi = 1) =pi = 1-P(Xi = 0), i=1,2 If p1>=p2 , show that X1 >= X2.

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Q: Fix a € (0, 1). Determine inf(B) for B = {an: ne N}. You can just give your answer for this part…

A: We have to find the  for

Q: Given n(U) = 150, n(A) = 78, n(B) = 64, n(A intersection B) = 27. What is n(Ac union B)

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Q: ifn2x/4 = 16 then x is?

A: Step 1:To solve the equation 42x​=16 for x, you can follow these steps:42x​=16First, multiply both…

Q: A chemist is carrying out laboratory experiments to verify the operation of a new pharmacy on a…

A: The population of bacteria is defined using the equation: N(t)=10t3-255t2+1800t+1000, where t is the…

Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

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Q: 18. 8x So (42.8210) dx A) undefined B) In(6) – In(10) C) In(10) - In(6) D) ln(6) – In(10) + C E)…

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Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: (-1)^ xIn lIt) = (-1)" (n+ 2 2n+1(n + 1) che exact value of

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Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: Solve In(x - 4) - In(x) = In 4 Select one: a. -2 O b. 2 c. 3 O d. 1

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Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: Given y=5x+7

Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: Given that ∑∞n=1 (1/n2) = π2/6, find ∑∞n=1    (4/n2)

A: Answer and explanation is given below....

Q: Given: a = 2 – 3t + y = 31 - 2 Required: , 3/", y" (Select the correct answer for each y, y", y"…

A: Given the function

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

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Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

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Q: A =  3i - j + 2k B = 2i + j - k  C = i - 2j + 2k solve for a.) (A x B) x C b.) A x (B x C)

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Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

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Q: has its largest value. a = Find two numbers a and b with a ≤ b such that b= # # L (6-52 (6-5x-x²)…

A: Given integral is ∫ab6−5x−x213dx. We have to find the value of a and b with a≤b. The integral…

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: Find the value of S in (3A +4Si)(6-7i) = 3+5i

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Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: If m divides n, show that [GF(pn):GF( pm)] = n/m.

A: Given: m divides nWe need to show that GFpn:GFpm=nm

Q: If m divides n, show that [GF(pn):GF( pm)] = n/m.

A: Given : m divides n . To prove : GFpn:GFpm=nm.

Q: For a particular object, a(t) = 4t² +7 and v(0) = 6. Find v(t).

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Q: cosh In(-3+ 2j)]

A: The expression of coshx is coshx=ex+e-x2. Break the given hyperbolic function into exponential form.…

Q: Prove that Σ=1(3i2 - 2t) = 2n3 +n2 - n 2

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Q: Creani Cet G4)= ti t2+34)j +4k HICH) = 2JF L+3tj + find a) H4) XG4) (1+24)k こ b) G4). HGE)

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Q: expressed

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Q: If P(A)-0.274, What is P(A)? Where A' is the complement of A

A: P(A) = 0.274 P(A') = ? a' is complement of A

Q: 1-2lcoel+)-¹ = (1+¹+¹+) {¹+3 +.. ***

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