From the sample space S = {1,2,3,4,...,15), a single number is to be selected at random. Given the following events, find the indicated probability. A: The selected number is even. B: The selected number is a multiple of 4. C: The selected number is a prime number. P(A and B) P(A and B) = (Simplify your answer.)

Q: A B C What is the most simplified form of output D? O (AB) + (A + B) B(A + C) O A(B+ A) (B+C) ARYA…

A:

Q: Which expression is equivalent to (x+4)(x-8) a. (x+2)²-28 b. (x-2)²-36 c. (x+2)²-28 d. (x-2)?-36…

A: The answer are as follows

Q: - 41 and B = -8 4 Given A = -4 2 -7 7 Find out the value of det(AB).

A:

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A:

Q: Q-4. Find the value of given combination 11 (H) + (5) 6 2

A:

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A:

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A: To find the difference of (e+f i ) -(g + h i )

Q: Simplify the following under Zs and Z7. (-4) + a. 3 -2 b. 3-1 -5+(-11) C.

A:

Q: In the expression b-d :- the quotient is a+b

A: The given expression is: b2-d2a+b÷b-da2-b2

Q: Find, if possible, (a) AB and (b) BA.

A:

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: m: (-6, 0) b: |(2, -2)

A:

Q: Which expression is meaningless? a. axbxc d. (a - b).c b. (axb).c e. a. (bx c) C. (a × b).c

A: Solve the following

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: 3a + 6ab = 18ab² What is a?

A: see below the answer

Q: b) Find P(A or B) P(A or B) = P(A) + P(B) - P(A and B) = ANSWER E 178 120 + 250 250 e) Translate (b)…

A: Probability is a chance factor, which can occur any outcome of the random experiment.…

Q: Find (a) ∣A∣ and (b) ∣A−1∣.

A: a). Determinant of A is,

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A:

Q: 5|x-4|-7=2

A: Given,

Q: Find (a) ∣A∣ and (b) ∣A−1∣.

A: a).  Determinant of matrix A is

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Find (a) ∣A∣ and (b) ∣A−1∣.

A: a). Determinant of matrix A is,

Q: Find, if possible, (a) AB and (b) BA.

A: A is a 3x3 matrix and B is a 3x1 matrix So the product AB will be possible. Because the number of…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: 5x+3x-6-x+2

A:

Q: Second answer of C is not the correct answer

A: Given data values 323 326 331 339 350 353 356 359 360 364…

Q: P(oc) - -2

A:

Q: || X₁ x₂ = 0

A: Use matrix multiplication rules