2. If P(A) = 7/13, P(B) = 9/13 and P(A∩B) = 4/13, evaluate P(A|B).

Q: S(12 ) for √2x + 2x + 2√2x+...

A:

Q: { 2z + y = 4 Ty = dz +1 9.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: P(A) = 0.8; P(B) = 0.7 and P(A∩∩B) = 0.6.  Determine P(A∪B).

A: Given problem Given that   P( A ) = 0.8 P( B ) = 0.7 P( A ∩ B ) = 0.6  P( A ∪ B ) = ?

Q: Fird the inversc trons frm of ; F (5) = sz+ 25

A:

Q: If r = 3, s = 4, t = 2, then 3r+ 6s - 2t = 4r + s + 2t Select one: True O False

A:

Q: Given P(A)=0.4P(A)=0.4, P(B)=0.66P(B)=0.66 andand P(A∩ B)=0.374P(A∩B)=0.374,  find the value of P(A…

A: Probability is the measurement of event occurrence. It take values positive value and does not…

Q: Suppose P(A) = 0.5, P(B) = 0.3, and P(A∩B) = 0.15. Find the following:(a) P(A|B) (b) P(B|A)(c) Are A…

A:

Q: [38] Evaluate ff, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

A: we know that for 3d representation,  S=∫∫√((∂y/∂x)²+(∂y/∂z)²+(∂z/∂z)²)dA from this we will solve the…

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

A:

Q: (b): Evaluate: (8t³ – 9t² + 10)dt

A:

Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

Q: If 9(x) dr = a + 2b, find A. a+2b+3 B. 56-2a C. 4a-b D. 4a+5b E. 26-2a B ОЕ Question 10 \9(x) + 3)…

A:

Q: 3cos3x %3D s² + (v9)

A: We have to solve given problem:

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A:

Q: Suppose that n(A) = 17, n(A n B) = 9, and n(A U B) = 24. Find n(B). n(B) 8 x

A: Given that n(A )= 17,n(A∩B) =9,n(A∪B) =24,n(B ) =?

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: b) -5 Y 5 4 3 2 + -4 -3 -2 -1 -] -5+ 2 3 4 5 व

A: A graph of the function is given.We have to find the equation of the graph.

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

A:

Q: 3. (a) 5e (b) 2e-21

A:

Q: If P(A) = 0.2, P(B|A) = 0.45, P(A ∪ B) = 0.67, find P(B)

A: Given,   P(A)=.2P(BA)=.45PA∪B=.67 We have, PA∪B=PA+PB-PA∩B ⇒PB=PA∪B+PA∩B-PA…

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: S(10) for √3 - 3 + 3√3+...

A:

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: Compute the following. (a) P6, 2. (b) C6, 2. (c) P6, 6.

A: P(n,r)=n!n-r!C(n,r)=n!n-r!.r!

Q: What is L! if 2 1 +. s s-4] 4r A. -2t +e В. -t+ 2e¬7! 3t +e" D. -2t+e" C. 47 3r E. 4t - 2e"

A:

Q: Suppose P(A) = .17, P(B) = .18, and P(C) = .65. Assume that P(D | A) = 3 P(D | B) = 8 P(D | C). Find…

A: Given,P(A) = 0.17P(B) = 0.18P(C) = 0.65P(D | A) = 3P(D | B) = 8P(D | C)

Q: Find N2 A 21 N 2 p(v) B, ) = N`, p (ν) Β..) A 31 Haitha.

A: We have to separate N2 from the equation

Q: B) Find m42 if mz1 = (4x - 7)º and m42 (10x+13)°. +11 = 2 P

A: To find m∠2 if m∠1=4x-7° and m∠2=10x+13°.

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: If 16a4 + 36a?b2+ 81b4 = (4a² – xab + yb²)(za2 + 6ab + yb?), then find the value of v(6xyz).

A: