Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B| = 29, |A N B| = 1, and |A| = |B|, then |A| = %3D

Q: %3D The members of the set {rx is an integer number such that r² = 2} are Оа. (2,2) O b. (-V2, v2) О…

A: To findElement of (say)A={x| x is an integer number such that x2=2}

Q: Let C = {0,2, –1, 100, 12} and let D = {-1,2, 14}. %3D a) |C u D| = b) |C n D| = c) |C – D| = d) |D…

A: Given information

Q: , B, and C which satis

A: Given as, A= {1, |B|, |C|} B= {2,| A|, |C|} C= {1, 2, |A|, |B|}

Q: (a) Show that if n € N, then n+1 In dx. I

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Q: Find the number of elements in the set {o E S4lo (3) = 3}.

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Q: Let S = {a, b, c, d, e, f} with P(a) = 0.16, P(b) = 0.14, P(c) = 0.15, P(d) = 0.25, P(e) = 0.18, and…

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Q: Evaluate the expressions 15! a.) 6! x 5! b.) P(8,4) = %3D c.) C(12,7) = ||

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Q: Rrove the other distributive oddi tion Geed t property of (+d) A= cA+ d A

A: Distributive property of addition is given by . It is used in case where terms inside the…

Q: Suppore that A and B aru Awre set such that (AI= IB1 Show that %3D (P(A), P(B) denote the pouser…

A: We used the concept that if a set contains n elements then it power set contains 2n elements .

Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} are %3D %3D two sets. find R = {(x, y): x E X and y E Y…

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Q: Which of the following are discrete types of variables i) Your telephone number ii) Your id number…

A: Variables are related to numeric values. In the variables, there are two types, they are discrete…

Q: Theorem 5.25. Let A, B, and C be sets. Then 1. A× (B N C) = (A × B) N (A × C) 2. A × (B U C) = (A ×…

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Q: Direction: Define subsets of Za, as follows: A = {a | a E Za and a 5} A = {a | a E Za and 3| a} 1.…

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Q: Which of the following statements are correct if y, = 2x, Vi = 1,2,.,n? A. -2x В. у - 4х C. s -2s…

A: 8. Given statement yi=2xi Consider, E(Y)=E(2x)        =2E(X)     y¯=2x¯ V(Y)=V(2x)        =4V(X)…

Q: If P(An B) = 0.3 find P(A U B°) O 1 0.3 0.7

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Q: A = {2,3, 5} B= {x €Z: x is an integer multiple of 3} C = {1,2,6} (AUC) – B ={ Ex: 1, 2, 3 } %3D

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Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: Let S = (a, b, c, d, e, f with P(b) = 0.16, P(c) = 0.12, P(d) = 0.29, P(e) = 0.22, and P(f) = 0.11.…

A: Given S = { a, b, c, d , e , f } P( b ) = 0.16P( c ) = 0.12 P( d ) = 0.29 P( e ) = 0.22 P( f ) =…

Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: Solve for x: 643r-3 256*-1 Answer: Submit Answer

A: am = an  ⇒  m=n . i.e, base same power same.

Q: Which of the following sets spans R? Select one: O a. s = {(1,2, 1), (0,0, 1), (0, 3, 4)} %3D O b. s…

A: In the question it is asked to find which sets span R3.

Q: 2. Let A = {0,1, 2, 4, 5, 7} and B = {2,3, 4, 5, 8} be subsets of the set %3D %3D U = {n € Z | 0 < n…

A: Given: A=0,1,2,4,5,7  &amp; B=2,3,4,5,8 is subset of U=n∈ℤ  0≤n≤9 i.e.U=0,1,2,3,4,5,6,7,8,9 To Find…

Q: 4. Given ! A 入-3 ー4 %3D 入-3 4 入-3 入ー3 -4 入-6 Find! i) JA) and IBI

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable  for…

Q: Let X = {a, b, c} and S = {a, b}. Then %3D %3D 1. σ(S) S. 2. a(S) = {0, S} 3. o(S) = {0, S, X} %3D…

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Q: If P(A/B) = P(A) and P(B/A)=P(B), then A and B are: O A. Mutually exclusive O B. Dependent O C.…

A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

Q: If the sets A, are independent and P(U, A,)=1 then P[A i.o.] = 1. %3D

A: Let {An}n=1∞ be an infinite event satisfying P(An)&lt;1 for all n, then  P∪n=1∞An = 1 if and only if…

Q: 3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for…

A: ( i )  a - (b • c) = ( a - b ) • (a - c )  fo all a , b , c belongs to real number R   We show that…

Q: One of the following is true:

A: The variable Z represents the set of all integers. For any of the above mathematical statement to be…

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11.…

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Q: Prove that |(a, b)| = |(c, d)| for any numbers a, b, c, d where a < b and c < d. Proof: Prove that |…

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Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  &amp; T=0, 2, 4.

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

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Q: Isd (m, n) = 1 and p|m then gcd (n, p) = 1 %3D

A: god(m, n) = 1 , and p/m.

Q: Let S = {a, b, c, d, e, f} with P(a) = 0.14, P(b) = 0.24, P(c) = 0.21, P(d) = 0.15, P(e) = 0.13, and…

A: From given we have : S = {a, b, c, d, e, f} P(a) = 0.14 P(b) = 0.24 P(c) = 0.21 P(d) = 0.15 P(e) =…