2) The plant managers for the Brand-X Cereal Company are responsible for periodically checking the variability of the weight of the boxes of cereal produced. Adjustments are made to the machine that loads the boxes if the sample variance sX 2 of the weights of a sample of 51 boxes exceeds 1.2825 ounces2. If, with the current setting of the machine, the weights of the cereal boxes are normally distributed with a variance (sigma. gif X 2) of 0.95 ounces2, what is the probability that the plant managers for Brand-X will make adjustments to the machine that loads the boxes

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24