Bob wants to create two pens. one pen if for a garden and it needs a heavy duty fence to keep out the critters. this heavy duty fence costs $15 per foot. the dog pen shares a side with the garden and has a lighter weight fence on the other three sides that costs $5 per foot. if each pen is to have an area of 504, find the values of x and y that would minimize the total cost of the fencing.

Simplify this expression. 8x 16(x + y)

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.)

Why does the shape of the distribution of the weights of russet potatoes tend to be symmetrical?