We wish to write x + 3 (x − 3)(x + 1) as a sum a x − 3 + b x + 1 . let’s find a and b. set the two expressions equal and clear denominators (that is, multiply through by (x − 3)(x + 1) and cancel (x − 3)’s and (x + 1)’s as much as possible). plug in x = 3 and solve for a. use the same idea to find b. check your work by adding the two fractions together.

Use the sample data and confidence level given below to complete parts a through d. a research institute poll asked respondents if they felt vulnerable to identity theft. in the poll, n=1090 and x=549 who said yes. use a 99% confidecne level. a. find the best point of estimate of the population of portion p. b. identify the value of the margin of error e. e= round to four decimal places as needed. c. construct the confidence interval._ < p < _ round to three decimal places. d. write a statement that correctly interprets the confidence interval.