Find the union and intersection of the following pairs of bags: a. [p, p, [q, q], [q, q]] and [q, q, p, p]. b. [c, c, [b, b], [c, [b]]] and [c, c, [b], [b]]

Q: Let U%3D {а, с, е, һ, т, о, р, s, t, и, у, 0, 1, -} А 3D {с, һ, о, р, s, и, e, y} B = {s, e, t} II В…

A: For the given data Find the given

Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? a.) p ^ (q…

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Q: r(m)r(n) B(m,n) r(m+n)

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Q: Match these values of r with the accompanying scatterplots: -0.994, -1, 0.736, 1, and -0.38. Match…

A: Match the scatter plots with the given correlation values.   From the scatter plot 1, it is clear…

Q: Suppose that X, Y , and Z. If Pr(X) = 19/40, Pr(Y ) = 11/40, Pr(Z) = 2/5, Pr(X ∩ Y ) = 1/5, Pr(X ∩…

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Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S ={x |x2 > 4}, T = {x |x2 < 9}

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Q: Prove that if r <s < n, then P(n , s) is divisible by P(n,r).

A: Given: r≤s≤n Therefore, n-r≥n-s So we can write n-r! = n-rn-r-1n-r-2...n-sn-s-1n-s-2...1 n-r! =…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t).

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Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Write out the following sets by listing their elements between braces. 9. {X :X < {3,2,a} and |X|=…

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Q: Evaluate each of the Fo llowings. V bano do V2

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Let U= (4. r, 5, t, u, v, w. x y, 2). A = (q, 5, u, w, y): B= (9. s. y. z) and C= (v, w, x, y. 2).…

A: Given that U={q,r,s,t,u,v,w,x,y,z} A={q,s,u,w,y} B={q,s,y,z} C={v,w,x,y,z} To find B'

Q: Find, if possible, the number of elements in sets A, B, and C using the given information: n (C…

A: Refer to the question. Use the venn diagram method to solve this problem.Now here n(A intersect B)…

Q: For all a,b€ R, if|a – b|< min(a,b), then prove that max(a,b)< 2min(a,b). く

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Q: Let a1, a2 and a3 be colums of A, i.e A = [a1,a2,a3] and let W = span {a1,a2} compute projw a3.

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Q: Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in​ dollars, from the…

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Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

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Q: Disprove the following statement by finding a counterexample. For all sets A, B, and C, AU (B N c)…

A: We can disprove this by using counter example

Q: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

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Q: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: 19. For sets A, B show 1AUB = 1A V 1B, %3D and 1ANB = 1A ^ 1B.

A:

Q: Prove that if R is a P.I.D. and a, b are two non-zero ... elements of R, then [a, b] (a, b) = abu,…

A: [a,b]= least common multiple of a and b. (a,b) = greatest common divisor of a and b.

Q: The greatest common divisor c, of a and b, denoted as c = gcd(a,b), is the largest number that…

A: Here is the solution

Q: Let v = (a, b, c). Calculate v × i, v × j, and v × k.

A: given: v=a,b,c we have to calculate v×i, v×j and v×k

Q: Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in dollars, from the…

A: find each of the following.a)​ P(x)​b) R(100​), C(100​), and P(100​)​c) R′​(x), C′​(x), and…

Q: Assume ZA and ZB are complementary and ZB and ZC are supplementary. if m/A= 40", then m/B = V and…

A:

Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in​ dollars, from the…

A:

Q: Write out the following sets by listing their elements between braces. a. {x € R:x? = x} x {x € R:…

A: Given, the sets. We have to write the sets in the list form.

Q: Match these values of r with the accompanying​ scatterplots: 0.704​, −0.998​, 0.998​, 1​, and 0.348.

A: The given scatterplots show the correlation between x and y.

Q: Prove that if A is similar to B and B is similar to C, then A is similar to C.

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: Suppose that (x, y) E (A \ B) × C, for sets A, B,C C S. Then a E A and r¢ B, and y E C. This implies…

A: Use the following definitions, to prove the given result. Let A and B be two sets. The Cartesian…

Q: If two rows of A are interchanged to produce B, then det(B) = –det(A). \\ Big True fals e

A: We use properties of determinant

Q: find the complement of set B, given that U= {x ∈ z/ - 7 < x < 7}     A= {x ∈ z+ /2 < x < 6}     B=…

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Q: Match these values of r with the accompanying scatterplots: -0.997, -1, -0.744, 0.352, and 1

A: We know that positive value of coefficient of correlation (r) shows a positive relation between the…

Q: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13,  a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: Let X = R, and M = Ø, then span (M) =

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Q: Let R(x), C(x), and P(x) be, res pectively, the revenue, cost, and profit, in dollars, from the…

A:

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: Given R = Z₁₂, M = {0, 4,8], then R/M is

A: We know the definition of quotient ring ,  R/M = a + M / a ∈ R We have given that , R = ℤ12  and  M…

Q: When an automobile stopped by a roving safety patrol, each tire is checked for tire wear, and each…

A:

Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: Write the following sets by listing their elements between braces. 1. P({{a,b},{c}}) 2. P({1,2,3,4})…

A: Given

Q: Suppose you are given that A, B, C, D, E, F are points satisfying A ∗ B ∗ C, D ∗ E ∗ F, AB ≅ DE, and…

A: To go further, keep the axioms and propositions of incidence betweenness geometry handy...…

Q: Let n=23 and consider the following information, Model One: Y = Bo + B1X1 + B2X2 + B3X3 + B,X4 +e…

A: Solution: Given information: n= 23 observation: k= 3 independent variable  R2=0.8685

Q: Match these values of r with the accompanying scatterplots: 0.465, - 0.465, -0.797, 1, and 0.797. oe…

A: Scatter plots' are primarily used to observe and show relationships between two numeric variables.…