Michael has constructed a device that fits on the end of a water hose. with this device, he can adjust the diameter of a tube connected to the end of the hose. he has found that the speed of the water coming out of the hose varies inversely with the diameter of the tube at the end of the hose. with the diameter set at .6 inches, the water will come out of the hose at a speed of 5 feet per second. how fast will the water be moving out of the tube if its diameter is reduced to .2 inches?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

Which equation represents the function on the graph?

6points possible: 3. total attempts: 5 for the data shown, answer the questions. round to 2 decimal places. x 7.3 11.7 21.7 18.8 23.2 20.7 29.7 21.2 10.6 find the mean: find the median: find the standard deviation: