Phaedra would like to buy a blouse costing $27, which is $3 more than 4 times the amount of money she has saved so far. how much more does she need to buy the blouse

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).

Simplify each expression for 18, 20, and 21

Willard f. libby received his undergraduate degree from . after he completed his graduate work, he became a professor at . in 1960, he won a nobel prize in .