Based on the NYC Department of Health Community Health Survey in 2010, a 95% confidence interval for the proportion of New Yorkers who were tested for HIV in the past 12 months is (29.9%, 32.9%). If the population size is 6 million in 2010, with 95% confidence, we know that at least how many New Yorkers were tested for HIV within the past 12 months?

Evaluate cos2θ for cosθ = square root of 3/2

Solve x+3y=6 and 4x-6y=6 by elimination . show work !

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )