P The graph of a function has a slope of −2, passes through the point (−4,−1), and is a straight line. Select all the statements that must be true.

The graph will pass through the point (1,−7

The constant rate of change is −2.

The graph will pass through the point (−1,−11).

The function has a y-intercept at (0,−9).

The graph represents a discrete function.

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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).

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