Here is the graph of g(x) = -0.25x³ + x² + 1.75x – 2.5 on the interval [-4, 6] . Notice the shaded area. Use it and the function's equation to answer the following questions. a) The value of the integral representing the shaded area between the curve and the x-axis is | [ Select ] b) In the integral representing this shaded area between the curve and the x-axis, the lower limit of integration is [Select ] , and the upper limit is [ Select )

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

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Q: R₁ = {(2, 3); (3, 5); (4, 7): (5, 9); (6, 11)} A 10 13 6 16 A 00 00 00 -9 -11 (b) 8 6

A: As we see, we are given a relation in which 2 is mapped to 3, 3 is mapped to 5 and so on.

Q: -1 (4, -4) (2, –5) (6, –5) (4, -6)

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Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

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Q: Suppose a sack contains 18 candies. There are Grey and yellow candies in the sack packed for a…

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Q: (3c)²(3c)³

A: To solve 3c23c3

Q: Find P(A∪B)

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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: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

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Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

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Q: dx. Evaluate - 1)²(x² + 2) x+3

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Q: Evaluate: 2 1 3 2 1 3 (b) -3 2 1 (a) det 3 2 1 1 2 -1 3 4 0 0 3 0 4 0 0 2 0 0 6 0 0 (c) det

A: As per bartleby guidelines, for more than 3 questions only 1st three are to be answered. Please…

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: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

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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: 3c². 2c +4c² = c(7c — 2) - Select one: O True O False

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Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

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Q: Evaluate: 1 -2 3 1 -2 5 3 -2| -2 1 -2 + 5 3 : 1 3. 3 1 -2 = 1(3 – (-10)) - 3(-6 – 5) + 5(4 – 1)…

A: Given-  1-2131-2553 To find- The value of determinant.

Q: 1 (b) (r² + m)²

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

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

Q: P = R-C, for R %3D N

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

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Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

Q: (B) = 10 and n(A N B) = 4, what is n(A u

A: n(A U B)=12

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: 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: Suppose P(A) = 0.76, P(B) = 0.12 and P(A or B) = 0.54. Determine P(A and B).

A: The information provided in the question are as follows :- P(A) = 0.76 P(B) = 0.12 And P(A or B) =…

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

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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: Evaluate for: x = -2, y = 4, and z = 16 * |-y-x|

A: Given values are  x=-2y=4z=16 It is asked to find the value of -y-xz

Q: A(–8, 3), B(–8, −2), and C(–2, 3)

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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: 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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Statements and Logic

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