Given the following set, evaluate the following: P = {T,F} P×P= P×P×P= |P×P|=|P×P|= |P×P×P|=|P×P×P|=

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

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

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Q: find a if A=8a

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Q: Find , if f = 1læ“ + 7y² ду 14y O O o 44x° + 14y 44x 3

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: p(a)= 0.7 p(b)=0.2 and A and B are mutually exclusive, find p(A and B)

A: Given that  p(A)=0.7 , p(B)=0.2

Q: Show that A x (B\C) = (A × B)\(A× C). Please do not use membership tables.

A: Given  A X (B\C) = (A X B)\(A X C)

Q: Given x - (32,225). Find P(x < 22).

A: Given that X follows normal distribution with mean 32 and variance 225. That is, mu=32 and…

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

A:

Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

A:

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: If P(A) 0.3 , P(B) = 0.8 and P(A or B) = 0.9 Find P(A and B).

A:

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

A:

Q: If - x + 10 s 15 then: Select one: a. xs-5 b. x 2 5 C. X 2 - 5 d. xs 5

A: Given information: An inequality is given as: -x+10≤15 This inequality is solved for the value of x.

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: ind p hat if x is 7 and n is 10

A: The provided information are: Number of success (x) = 7 Number of trials (n) = 10

Q: Factor.  A) x2-2x-35   B) x2+2x-35

A: A) We will factor -35 so that the sum of the factors= -2 Such factors are -7 and 5 So we write -2x…

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

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: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

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Q: 10 Find t if y= lo08 lo98

A: Giveny=log 8(x2-104)=log (8)(x2-10)4Differentiate above equation with respect to x we get that…

Q: Give a example of a set of 4 points in r3 that are in general positions

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Q: Compute x3 in two ways: by computing x, and x₂, and by computing P³ 0.1 0.2 -~8 0.9 0.8 -0₁ ₂2-0…

A: The given matrix is, P=0.10.20.90.8,x0=10. The value x3 was obtained from: Now, x1can be computed…