∠X=5x+30
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​ \angle \mathrm{Y}=3\mathrm{x}+60^{\circ}∠Y =3x+60
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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).

Consider circle o, where and . m∠bpd °. °.

Which value of y will make the inequality y< -1 false?