1. in 1758, the dimensions expanded to 96 feet by 32 feet. what was the perimeter?
2. washington's last addition was called the new room, often used for parties. most homes at the time could have fit in just this room! it's perimeter was 108 feet. the length was 31 feet. what was the room's width?

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

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.)

Alistair has 5 half-pounds chocalate bars. it takes 1 1/2 pounds of chocalate, broken into chunks, to make a batch of cookies. how many batches can alistair mke with chocalate he has on his hand?