Beatrice calculated the slope between two pairs of points. She found that the slope between (-3, -2) and (1, 0) is 12. She also found that the slope between (-2, -1) and (4, 2) is 12. Beatrice concluded that all of these points are on the same line. Use the drop-down menus to complete the statements about Beatrice's conclusion. CLEAR CHECK Beatrice is . All of these points on the same line because the slope between (-2, -1) and (1, 0), which are coordinates from each of the pairs above, equal to 12.

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).