a man brings 20 sodas and $51.16 on a train it was hot so he had one soda. he took two more out for himself and sat them on the floor. not even a second later a man walks up and offers 3 times his sodas for 1.25 times his money he accepts and he makes the deal. out of joy as soon as he arrived at his stop he left the train and ran home In joy when he got there he feels like he forgot something

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

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.)

The equations 2x-5y = -5 11x-5y = 15 9x+ 5y = 5 and 14x+ 5y = -5 are shown on the graph below. which system of equations has a solution of approximately (-0.6. 0.8)?