Jim says that a 2 1 2 inch by 3 1 4 inch rectangle has a section that is 2 inches × 3 inches and a section that is 1 2 inch × 1 4 inch. That means the total area is just the sum of these two smaller areas, or 6 1 8 in². Why is Jim

incorrect? Use an area model to explain your thinking. Then, give the correct area of the rectangle.

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).