PLEASE HELP!!! A sample of bacteria is grown in a Petri dish. It contains 1,000 bacteria, and the population doubles every half hour. The inequality 1,000(2)2t>50,000, where t is the number of hours, models when the population of the bacteria sample will be greater than 50,000.
Based on the inequality, when will the population in the sample be greater than 50,000?

A. t>2 hours
B. t>6 hours
C. t>3 hours
D. t>1 hour

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).