State the row operation performed below and describe how it affects the determinant. [Start 2 By 2 Matrix 1st Row 1st Column a 2nd Column b 2nd Row 1st Column c 2nd Column d EndMatrix ], [Start 2 By 2 Matrix 1st Row 1st Column c 2nd Column d 2nd Row 1st Column a 2nd Column b EndMatrix ]What row operation was performed?

#1-20 state whether the angles are alternate interior, alternate exterior, vertical, or corresponding angles.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).

How do the number line graphs of the solutions sets of -23 > x and x-23 differ?