a, b, c are in A.P. If x is the GM between a and b and y is the GM between b and c, then the A.M. between x² and y² will be- (A) a² (B) b² (C) c² (D) None of these

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: Pr('green' | 4 or 6) b) Use a tree diagram and apply the multiplication principle to find the…

A: Conditional Probability : Probability of event A when given B has happened P(A|B)=P(A∩B)P(B)

Q: If n(A) = 45, n(B) = 16, and n(A n B) = 2, find n(A U B).

A: Given :nA=45nB=16nA∩B=2

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B

A: Set of Each entry in 2 tuple in the below table is Cartesian product of A and B

Q: If u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

A:

Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: Q. be the sum of the digits of your registration_number, (e.g. 3BA-abc, S i+b+č). Assume that the…

A: Given data is,

Q: f P(A) = 0.18, P(B) = 0.35 and P(A ∩ B) = 0.07, find the following: a. P(A ∪ B) b. P(A\B) c. P…

A: Given that  P(A) = 0.18,  ;  P(B) = 0.35  ; P(A ∩ B) = 0.07 ;    We know that By addition theorem…

Q: 4.) Determine the following combinations: d. 6 C 3 e. 8Cs f. 7 Co

A:

Q: In 4-7, find the value of x: 5. 4. 7. 6. 4x 21 4 6, 00

A:

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: 1. Solve the following problems below: let U = {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d,…

A: We have given that  let U= {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d, e, f, g} C = {a, c,…

Q: If n(A) = 29, n(B) = 24, n(C) = 23, n(AN B) = 8, n(ANG) = 9, n(BNG) = 6, and n(A U BUC) = 56, find…

A:

Q: . Write (12)(13)(14) in the form æ(12), where a E A¸. Write (1234) (12)(23), in the form a(1234),…

A: Given, (12)(13)(14) and we have to write this in the form alpha(12), where a in A4. Similarly, write…

Q: -) Which of the following equations is true? 28 + 7 = 4(7 + 7) 36 + 6 = 6(6 + 1). 13+36 = 13(1 + 3)…

A:

Q: a 1 3 1. Suppose ū = -5 = Find a and b if 2ū – 30+5u = and w = %3D %3D 6 – b 2

A: The addition or subtraction of two matrices is possible if the dimension of the matrices is the…

Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

A:

Q: Which of the following is equivalent to (D-3)(e³xy)? 3e-³x Dy e³xDy a. b. c. e-3xDy d. 3e³xDy

A: D-3e3xy

Q: Suppose a, b e (0, ) and a b- a.

A: I hope that this solution will help you .Thankyou. Best regards.

Q: and y= If a = 3, then x =

A: Solve using the properties of trigonometric rations

Q: Q. 5. Show that "-C, 1+"C, =" C, . n-1

A:

Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

A:

Q: 3. Compute (+) A. 1 B. -1 C. C.D. - E. i

A:

Q: If P(n-1,3):P(n,4) = 1:9,Findn.

A:

Q: 6. In each part find B - C, Bn C, and BU C: (a) B = Z, C = Q. (b) B = R, C = Q. %3D (c) B = {a, b,…

A:

Q: 5. If Ā= 2 4 If A and B -2 3) find: 5 7 (a) AB (b) Ã+E (c) 2A" - E (d) a" (A- E)

A:

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: ах (bxc) - о then...

A:

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

A:

Q: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: 11. If an+1 = 2an + 3 and ao = 1, then az = %3D 509 O 513 O 487 O 496

A:

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

A:

Q: If u (0,-V3, -3) then lull 8. Select one: a. 3 b. 0 C. V3 d. 3+V3

A:

Q: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: C.

A: Arc angle is twice of intercepted angle.

Q: Suppose a, = lan 1- 6an 2 + lan 3 and a4 = 47, as = 3, and a6 = -273. Find a1, a2, and az. %3D %3D =…

A:

Q: 1. If P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.3, find a) P(AB) and b) P(AUB).

A: It is given that P(A) = 0.4, P(B) = 0.5, P(A ∩ B) = 0.3