Consider the equation x^2+(y-2)^2 =1 and the relation "(x, y) r (0, 2)", where r is read as "has distance 1 of". for example, "(0, 3) r (0, 2)", that is, "(0, 3) has distance 1 of (0, 2)". this relation can also be read as "the point (x, y) is on the circle of radius 1 with center (0, 2)". in other words: "(x, y) satisfies the equation x^2+(y-2)^2 = 1, if and only if, (x, y) r (0, 2)". answer the following in your discussion. does this equation determine a relation between x and y? can the variable x be expressed as a function of y, like x=g(y)? can the variable y be expressed as a function of x, like y= h(x)? if these are possible, then what will be the domains for these two functions? what are the graphs of these two functions? are there points on the x-axis and on y-axis that are relate to (0, 2) by means of r? your discussion should be a minimum of 250 words in length and not more than 750 words.

240 seventh graders and two-thirds of the students participate in after-school activities how many students participate in after-school activities

Jobs and productivity! how do retail stores rate? one way to answer this question is to examine annual profits per employee. the following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. assume σ ≈ 4.0 thousand dollars. 3.7 6.7 3.6 8.5 7.5 5.9 8.7 6.4 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2 (a) use a calculator or appropriate computer software to find x for the preceding data. (round your answer to two decimal places.) thousand dollars per employee (b) let us say that the preceding data are representative of the entire sector of retail sales companies. find an 80% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit -- thousand dollars upper limit -- thousand dollars (c) let us say that you are the manager of a retail store with a large number of employees. suppose the annual profits are less than 3 thousand dollars per employee. do you think this might be low compared with other retail stores? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are less than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. correct: your answer is correct. (d) suppose the annual profits are more than 6.5 thousand dollars per employee. as store manager, would you feel somewhat better? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are greater than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. (e) find an 95% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit 3.75 incorrect: your answer is incorrect. thousand dollars upper limit 6.41 incorrect: your answer is incorrect. thousand dollars

Which of the following is a cost homeowners insurance does not protect? a. the cost of repair or replacement of a home lost in a natural disaster. b. additional living expenses required while your home is repaired after a disaster. c. replacement costs for all contents in your home, including high cost electronics. d. the cost of medical expenses incurred by somebody getting injured on your property. select the best answer from the choices provided