Write a recurrence equation for a multiplication algorithm that squares any n-digit number by dividing the n-digit number into three parts, each comprised of n/3-digits. this way you are reducing the operation to multiplying six n/3-digit numbers. you mat assume n to be "nice". solve the recurrence equation using the recursion tree approach to find the exact number of multiplications and additions to find the square of a number. you may represent an atomic multiplication between two, one-digit numbers, as µ and the atomic addition of two, one-digit numbers, as α.

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.)