A mythology class is composed of 14 sophomores, 21 juniors, and 18 seniors. On the first exam, 2 sophomores, 5 juniors, and 8 seniors earned A's. Find the probability that a student who received an A is a junior. (Round your answer to three decimal places.)

Q: Simplify the expression [(a'^b)v (av b')]v (a'nb^c) by using the laws of Boolean algebra.

A: By using laws of boolean algebra,    De Morgan's law  Double Negation Idempotent Law Absorption law…

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Q: (b) If P ú prime PXa and Pl ab. show that Pib using linear combination What ĥ c a; P) ?

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A: End behavior of given polynomial is if x tends to ➕➖ infinity♾️ then f(x) tends to infinity.

Q: Find the mean for the following group of data items. 8.6, 4.8, 7.4, 6.7, 2.1, 3.1, 7.9, 4.2, 7.3,…

A: Find the mean for the following group of data items.8.6, 4.8, 7.4, 6.7, 2.1, 3.1, 7.9, 4.2, 7.3,…

Q: Prove that A CB P(A) C P(B).

A: We have to prove that

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Q: prove that a ∩ (b - c)=( a ∩ b)-(a ∩ c)

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Q: (a) Find the probability that a randomly selected student is male, given that the student received a…

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Q: For all m and n in w, m n = n. m.

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Q: True or False? If P(∅)=0 y P(A)=0 then A=∅

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Q: 6. There are real numbers a and b such that Tarb = √at VE Proof: Let

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Q: 4. Prove: A\ (BNC) = (A \ B) U (A \ C)

A: A\ B = A-B .

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Q: If Lar 98n+2 then > 99ar 99n+3 %3D k-2 k-2 O 99 100

A:

Q: How many ways can three items be selected from a group of eight items?

A: Number of items = n = 8 Number of items to be chosen = r = 3

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.