In a survey, 26 voters were asked their ages. The results are shown below. Given a lower class limit of 20 and a class width of 10

School has 204 sixth grade students. if the sixth grade is 30% of the total school, how many students are in the middle school?

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).

Prove that 16^4-2^13-4^5 is divisible by 11.