4.6-14. Consider the following problem. Maximize Z = -x, + 2x2 + X3, subject to 3x2 + X3 s 120 X - X2 - 4x, s 80 -3x, + X2 + 2x, s 100 (no nonnegativity constraints). (a) Reformulate this problem so that all variables have nonnega- tivity constraints. D.I (b) Work through the simplex method step by step to solve the problem. c (c) Use a computer package based on the simplex method to solve the problem.

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: 29(P − 34) = 464

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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: The AM and GM for two observations are 5 and 4 respectively. Find the two observations.

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Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

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Q: Suppose that P(E)=0.76, P(F)= 0.45, and P(E and F) = 0.32. What is P(E or F)? P(E or F) (Simplify…

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Q: H={74,75,76,...,280} n(H)=

A: We are going to use basic counting principal to find n(H)

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: How was the S1 found on answer A?

A:

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: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

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: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: t(r) dr

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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: 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: p(a) = 0.65, P9b) = 0.56, P(a and b) = 0.4, find p( a or b

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Q: 7

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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: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

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Q: Brandon's score in the high jump at a track and field event showed that he was only able to jump…

A: B's score in the high jump at a track and field event showed that he was only able to jump higher…

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

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Q: x – 1 Find + C

A: The given integral, ∫x-1x2dx

Q: Let F(x, y) = -o (a) + F. dr + j. Find the value of the line integral.

A: The general form of a vector-valued function in two dimensions is given by F=F1i+F2j, where F1 and…