The centers for disease control reported the percentage of people 18 years of age and older who smoke (cdc website, december 14, 2014). suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of .28. a. how large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02 (to the nearest whole number)? use 95% confidence. b. assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. what is the point estimate of the proportion of smokers in the population (to 4 decimals)? c. what is the 95% confidence interval for the proportion of smokers in the population (to 4 decimals)? ( , )

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions