A box has 1 red and 3 blue marbles. Two marble are selected at random (together, without replacement). Let R be the number of reds we get. Let B be the number of bl

Q: 1) Explain why the result of two consecutive spins on a spinner are considered INDEPENDENT.

A: Sol:- The result of two consecutive spins on a spinner are considered independent because the…

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: Let u = (9,3,-3), v = (0,2,-5), and w = (6,5,4). Compute v X w. vxW=(

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Q: Let U = {1, 2, 3, 4,..,10}. A = {1, 2, 3, 4, 5}, B = {1, 2, 4, 8}, C = {1, 2, 3, 5, 7} Find the…

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Q: given u= and v= find uXv

A: To solve the following problem

Q: (first three digits), v = 1 4 (last four digits) 6. Let u = %3D %3D 5 2 15 7 4 9 Let A = (place your…

A: 1. We are given two vectors, u→=0215, v→=7491 .We have to find the projection of v→ onto u→, whose…

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: R={(4,1) (2,2),(3,1),(3,3), (1,3)},A={1,2,3} then [1]= %3D .a {1,3} .b {2} .C {1,2,3}

A: Equivalence class

Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: Let A = ff, I, y }, B = {r, a, t}. Find A x B and B x A. AxB= BxA= Let A = ff, I, y }, B = {r, a,…

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Q: If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 2 on…

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Q: uxv is , and U x u is

A: We are asked to find the cross product of the vectors

Q: Let ū = (2,3) and i = (5, 2). Find ū . Select the correct answer below: O (-3, 1) O (7, 5) O (3, –1)…

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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,…

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Q: RT and UW are parallel lines. to S. V Which angles are vertical angles?

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Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

Q: Let u = (1, 2, –4), v = (-5, 3, -7), and w = (-1,4, 2). Perform the operation u. Type your answer...…

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Q: A 4 Variable Karnaugh map has eight cells. Select one: O True O False

A: A Karnaugh map provides a systematic method for simplifying Booleanexpressions.

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: Let u = and v = . Now, w = is a linear combination of i and v. That is, w = aju + azv. Determine…

A: Answer:

Q: Consider rolling 2 3-sided dice. Let X = the sum of the dice.  Let Y = the product of the dice. a…

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Q: If z,,z,€C then Zz=Z2 OZi+Z2=Z,+z2 OZi+z2=0 Z,Z2=0=Z,=0 or zz=0

A: 2nd and 4th options are correct.

Q: 4. Find z, and z, such that, 2iz, +iz, 2+5i and = 9-11i 3i z,-2i 2, 4 =i+1, z, = 3+4i (b) z, = 3-4i,…

A: Solution:- let z1 and z2 be the different ccmplex number i2= -1 i3=-i

Q: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

A: Given u→=-7, -2 and v→=-7, -1

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

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Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: Determine whether ^- [¦ ¦ ¯1]- » - [8]), ~ - (-¹ ¹ ] b W b is in col(A). b is not in col(A).…

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Q: If u = [3, - 1] and v = [1,4],compute and draw u + v.

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Q: A box has 1 red and 3 blue marbles. Two marble are selected at random (together, without…

A: Given that, the box contains 1 red and 3 blue marbles.Total number of balls = 3+1 = 4Let R be the…