What is the determinant of the coefficient matrix of the system 0 16 18 40

The coefficient matrix is

Notice that the last row is -4 times the first row, so that the rows of the matrix are not independent. This means the determinant would be 0.

Just to confirm, we can compute the determinant via a Laplace expansion along the first row:

yes because a quadrilateral is equal to 4 sides and a rhombus has 4 sides so technacly it is a quadrilateral.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;