The number (in millions) of employees working in educational services in a particular country was 13.8 in 2005 and 19.6 in 2014. Let x = 5 correspond to the year 2005, and estimate the number of employees in 2013. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to
find such a line and then estimate the requested quantity.
Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is ]
(Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.)
In 2013, the number (in millions) of employees working in education services would be
(Type an integer or a decimal rounded to the nearest hundredth as needed.)

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)