Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years of a business or other professional career. The magazine has been fairly successful and the publisher is interested in expanding the publication's advertising base. As a recent hire into the marketing department at the magazine, you have been asked to help develop a survey asking readers demographic information and questions about their interests. Your survey results will be used to help the magazine choose articles of interest and provide advertisers with a profile of subscribers. The culmination of your work will be a presentation of your findings to management. Therefore, you not only have to present summary data, but must also be able to explain the results in a manner that is accurate and easy to understand. After running your analysis, the software returns the following information about the age of the respondents:Which statement should you use to explain the 95% confidence interval to management?a. We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents. b. We are confident that 95% of our readers have ages between 29.7215 to 30.5029.c. There is a 95% probability that the population mean age of all respondents lies within the interval 29.7215 to 30.5029.d. We are 95% confident that the interval 29.7215 to 30.5029 includes the sample mean age of all respondents.

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Me, prove a quadrilateral with vertices g(1,-1), h(5,1), i(4,3) and j(0,1) is a rectangle using the parallelogram method and a rectangle method.

3x = 729 solve for x plz . it's urgent. will mark