State the name of the sampling method used in each of the following scenarios. (a) When a biologist takes a sample from one location in a lake rather than randomly sampling various locations in the lake.(b)A researcher is interested in opinions about stem cell research. A random sample of U. S. residents is selected, and the respondents are asked questions about stem cell research.
(c) A researcher would like to investigate the spread of some kind of cow disease. He selected randomly four farms out of 200 farms and surveyed all the cows in those selected farms.
(d) A public opinion poll is conducted in Virginia to determine whether registered voters in the state approve of a measure to ban smoking in all indoor restaurants in the interest of public health. The researchers select a simple random sample of 50 registered voters from each county in the state and ask whether they approve or disapprove of the measure.

Subscriptions to a popular fashion magazine have gone down by a consistent percentage each year and can be modeled by the function y = 42,000(0.96)t. what does the value 42,000 represent in the function?

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? )

Consider the following equation. 1/2x^3+x-7=-3sqrtx-1 approximate the solution to the equation using three iterations of successive approximation. use the graph below as a starting point. a. b. c. d.