A Parent is using a garden hose to fill up a small inflatable pool for her young child the pool has a capacity of 90 gallons she turns the water off after five minutes but leaves the hose in the pool for another three minutes before putting it away. in this situation the relationship between the gallons of water in the pool and the eight minute since the parent started filling the pool can be seen as a function. 1. write a sentence of the form “ is a function of .” 2. sketch a graph of the relationship on the coordinate plane be sure to label to indicate a scale on each axis P. S THE GRAPH IS FOR 2.

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.)