10) at 9: 00 there are exactly 10 bacteria in a dish, and the population doubles every 15 minutes . pick a time after 10: 30 but before 12: 00 and determine the number of bacteria in the dish at that time. show all work supporting your answer.

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).