Atank contains 1000l of brine with 40kg of dissolved salt. pure water enters the tank at a rate of 5l/min. the solution is kept thoroughly mixed and drains from the tank at the same rate. answer the following questions. 1. how much salt is in the tank after t minutes? answer (in kilograms): s(f) 2. how much salt is in the tank after 20 minutes? answer (in kilograms):

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)