Only need help with part c

Suppose that the distribution of monthly earnings for all people who possess a bachelor's degree is known to have bell-shaped and symmetric with a mean of $2116 and a standard deviation of $455. Answer each of the following questions. What percentage of individuals with a bachelor's degree earn less than $1661 per month?

Suppose that the distribution of monthly earnings for all people who possess a bachelor's degree is known to have bell-shaped and symmetric with a mean of $2116 and a standard deviation of $455. Answer each of the following questions. What percentage of individuals with a bachelor's degree earn less than $1661 per month?

A system 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 (Type an ordered pair.) x₁ = 2, x2 = 4, x1 + x2 = 6 C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) ×₁ = 2, x2 = 4, x1 + x2 = 8 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. ×₁ = 2, x2 = 4, x1 + x2 = 12 ○ D. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution. ×₁ = 2, x2 = 4, x1 +…

A system 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 (1,1) (Type an ordered pair.) ×₁ = 2, x2 = 4, x1 + x2 = 6 C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solution (Type an ordered pair.) 8 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. ×₁ = 2, x2 = 4, x1 + x2 = 12 D. No, overdetermined systems cannot be consistent because there are no free variables. For example, the system of equations below has no solution x₁ = 2, x2 = 4, x1 + x2 = 24

Suppose a 3x6 coefficient matrix for a system has three pivot columns. Is the system consistent? Why or why not? Choose the correct answer below. A. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have seven columns, could have a row of f OB. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [ 0 0 0 0 001], so th C. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have four columns and will not have a row of the form [0001], so the system is D. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have seven columns, must have a row of t

Suppose a 3x6 coefficient matrix for a system has three pivot columns. Is the system consistent? Why or why not? Choose the correct answer below. A. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have seven columns, could have a row of f OB. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [ 0 0 0 0 001], so th C. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have four columns and will not have a row of the form [0001], so the system is D. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have seven columns, must have a row of t

Do the three lines 3x1-12x2 = 5, 6x₁ +39x2 = 74, and -3x₁-51x2 = 79 have a common point of intersection? Explain. Choose the correct answer below. A. The three lines do not have a common point of intersection. B. The three lines have at least one common point of intersection. C. There is not enough information to determine whether the three lines have a common point of intersection.

The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system. 1 -260 0 150 0 030