Asmall publishing company is planning to publish a new book. the production cost to include a one-time fixed cost and variable cost. there are two production methods it could use. with one method the one fixed cost will total $19,521, and the variable cost will be $21 per book. but the other method, the one-time fixed cost will total $62,265, and the variable cost will be $11.25 per book. for how many books produce will accost from the two methods be the same?

On the first of each month sasha runs a 5k race she keeps track of her times to track her progress her time in minutes is recorded in the table

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.)

04.05 graphing exponential functions write an exponential function to represent the spread of bens social media post