Prove or disprove: if a, b, c e N, then a2 - 6 + 4c + 2.

Q: Determine whether the statement is True or False. D. (ΔΑΒC) = ΔΑ 'Β 'C', then ΔABC ~ ΔΑ'Β' C. O True…

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Q: Determine if the following statement is true or false. bE {b, d, c, a) Choose the correct answer…

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Q: If P(A) = 0.68, P(A U B) = 0.91, and P(A n B) = 0.35, then P(B) = %3D

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Q: 6. Given: the diagram at the right Prove: b-a+c 180° Statements Reasons

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Q: d) Larry is included and Jun is excluded? ways e) Larry and Jun are included? ways

A: Definition used -             Combination -               Number of ways selecting r objects…

Q: If P(A)=0.70, P(A^/B)=0.30 %3D Then A,B are independent Select one: O True False

A: Solution: From the given information,

Q: Ifb+c- 2a, c+a – 26, a +b – 20 ,1 are in A.P., then prove that are also in A.P. a a b c

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Q: Indicate whether the statement is true or false. {d, e, j, k} = {j, k, e, d} Choose the correct…

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Q: (2) If BC À. then P(B| A) P(B) P(A)

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Q: Let gcd(a, b) = d. If c divides a and c divides b, then c 2 d %3D

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Q: following which of the reys is open ? [6, 15] (6,15) 9. C. 6.(6,1s] d. [6,15)

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Q: Prove : (A-B)n C =(A n C) -B

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Q: If P(A) = 0.7, P(B) =0.2, and A and B are mutually exclusive, find P (A or B). P(4 or B) = D

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Q: (1 point) If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: (a) In (b) In /t²c_ ²a_I…

A: We use the properties of logrithm.

Q: If m21 = m22 , which of the following statements is true? m O A A k|li B. n|| m C. E|| k D. ||m

A: Given,

Q: VII. Let A = {2, 4, 6, 8), B = {6, 9), C = {4, 8). Answer each of the following questions. Justify…

A: The student has explicitly asked for the solutions to questions (20) and (22) only. Hence solutions…

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

A:

Q: Decide whether the following statement is true. If a, b, m, n eN and a mand b | n, then a+ b | m+ n.…

A: The given statement is:If a,b,m,n ∈ℕ and a|m and b|n, then a+b|m+n.We need check whether the…

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: Hint :- * is not Commutative. How ? take (1,2), (3,4)EG.prove.

A: Consider the given information as, 1,2,3,4∈G

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: a. Are Aj and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B).

A: Given :  Our claim is to answer the following :  A) Are A1 and A2 mutually exclusive> B) Compute…

Q: 45. Suppose ABCA AECD Which statement is NOT necessarily true? BA ED A. В. BCCE C. BCA ZDCE D.

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: (a) Calculate the determinant for matrix A.

Q: Let A = {c, d, f, g), B = {f, j}, and C = {d, g). BcA A True B) False

A: topic - sets

Q: If P(A) = 0.68, P(A c B) = 0.91, and P(A n B) = 0.35, then P(B) = %3D

A:

Q: (2n)! Let a, = then 'n n!n* 1 а) а, > e 2 b) а, > e 4 с) а, > c) an e d) а, > о

A: To find -  Let an = 2n!n! nn1n, then ?

Q: Which of the following statements is true? Prove or give a counter example. a. (AnB) C (BUC) b.…

A: We will answer first three subparts, since exact number of subpart is not specified. Please resubmit…

Q: V97 4 A 6.

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Q: Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅, {∅}} c) {∅} ∈ {∅} d) {∅}…

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Q: If 8 = (AB) - (AB)o, then with usual notations, prove that [(A) – (a)][(B) – (B)] + 2N8 = (AB)?+…

A: Given:-                A-αB-β+2Nδ = AB2+αβ2-Aβ2-αB2

Q: Find, If possible, AB and BA. (If not possible, enter IMPOSSIBLE In any single c 1. -D2 A = B = 1.…

A: The given matrix are A=2131 and B=1-2-26. The multiplication of two matrix say A=abcd and B=efgh is…

Q: What is the value of x?

A: Given, volume of cylinder and radius

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: 3 a (a) In 64cl (b) In V/bªc²a! 2

A: Given that: lna=2, lnb=3, lnc=5.(a)lna3b4c1(b)lnb4c2a(c)ln(a3b4)ln(bc)1       NOTE: As per our…

Q: a. Neither CNF b. CNF, but no

A: Given as, x+y+z¯uw

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

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Q: Which statement would justify D ABC ~ D DEF? D. 11 SO 45 6/ 10 A 55

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Q: If P(A) = 0.7, P (B) = 0.2, and A and B are mutually exclusive, find P (A or B). %3D P(4 or B) - I

A: Given that, P(A)=0.7, P(B)=0.2

Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: 2. If A4BC-ADFF. which statement is false? AB DE (1) BC EF (2) ZABC=ZFDF AC BC (3) DF EF (4)…

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Q: 2. a+b+c=c+b+a is true because of

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Q: © Evaluate A2, where A = that al+bA + CA² = 0. 2 3 -5 5), and find a, b, c E R, not all zero, such

A: A = (2  -5)        (3   1)   A2 = (-11  -15)         (9      -14) aI +bA +cA2 = 0 ( a  0)   +  (2b…

Q: If P(B) = 0.3, P(A or B) = 0.6, and P(A and B) =0.2, find P(A)

A: We are given,P(B) = 0.3, P(A or B) = 0.6and P(A and B) =0.2We have to find P(A) = ………. ?

Q: q? then 5 • b? 6(а +b)2 — 12ab > 22 Prove if a,b > 0 b? 2 a' ab

A: Solution is given below:

Q: (b) If a > b and c > 0, then ac > bc.

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Q: Write a proof for: "If a = b and c = a -c = b - d" d, then

A: Consider the given equations, a=b and c=d now, by the subtraction law of Equality, a-c=b-c

Q: The contrast of ABC is O abc + a + b +c - ab - ac bc (1) O abc + c + ab + (1) - a - b - ac bc O None…

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Q: If P (A) =0.45, P (B) =0.7, and P (A and B) = 0.4, find P (A or B).

A: Given,P(A)=0.45P(B)=0.7P(A∩B)=0.4

Q: Prove (without expansion) a b c d |-b -d d -b = (a? + b? + c? + d?)? a a |-d -c b a

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Q: 3u -w

A: