Survey asked 286 married men and 307 single men if they regularly watch do-it-yourself house design tv shows. of those men surveyed, 157 married men and 102 single men responded positively. find the lower bound of the 90% confidence interval for the difference in population proportions of married men who regularly watch do-it-yourself house design tv shows and single men who regularly watch do-it-yourself house design tv shows. let the married men be sample 1 and let the single men be sample 2. assume that the samples are independent. enter your answer as a decimal rounded to three decimal places.

Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2 . (1 point) 2 square root of 8 8 square root of 2 8 square root of 6 6 square root of 8

Which of the following is most likely the next step in the series? a3z, b6y, c9x, d12w, е15v, f18u

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?