A radio disc jockey has 8 songs on this upcoming hour's playlist: 4 are rock songs, 2 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song and the second is a reggae song? Write your answer as a fraction in simplest form.

Identify the number 127 as a rational or irrational. explain

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).

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x