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Plot each group of points.
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- Sports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter freestyle in the Olympics from 1984 through 2012. 1984,55.92 2000,53.83 1988,54.93 2004,53.84 1992,54.64 2008,53.12 1996,54.50 2012,53.00 (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t=84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (d) Compare the linear model you found in part (b) with the linear model you found in part (c).arrow_forwardGraph the points A(3, 2), B ( − 2, 1), C (3, − 4), D( − 2, − 3), E ( − 3, 0), F (0, 2),G(0, 0).arrow_forwardA shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week. How many weeks does one bag last? a.Draw a diagram to represent the situation.arrow_forward
- Find ƒx( x, y, z) , ƒy ( x, y, z) , ƒz ( x, y, z) , and ƒyz ( x, y, z) for the following. ƒ(x, y, z) = 6x3 - x2y2 + y5arrow_forwardQuestion: Which is a table of ordered pairs defined by y = x + 2arrow_forward12.) Using the following ordered pairs: A(-5,5), B(-4,-6), C(7,7), and D (2,-4), what is the image of A when reflected across the line y = 0? a. (5,5) b. (-5,-5) c. (-5,5) d. (5,-5)arrow_forward
- II. COMBINATIONS How many line segments can be formed by 13 distinct points?arrow_forwardIf (3, 62) is a point on the graph of y = f(x), which of the following points must be on the graph of y = - f(x)? (a) (6, 3) (b) (6, - 3) (c) (3, - 6) (d) ( - 3, 6)arrow_forwardIf 13, 62 is a point on the graph of y = f(x), which of thefollowing points must be on the graph of y = f(- x)?(a) (6, 3) (b) 16, - 32(c) (3, - 6) (d) ( - 3, 6)arrow_forward
- which of the following variables is not discrete? (multiple choice) a the number of words on an 8.5x11 inch sheet of paper b the number in a group of 20 people who have college degrees c the number of attempts needed in order to successfully complete d the distance traveled by motorcycle on one gallon of gas\ f the number of countries in which a college student is enrolledarrow_forwardThe table lists the number of members at a local gym for selected years, where year 11 represents 20022002, year 33 represents 20042004, and so on. Year x y=number of membersy=number of members 20022002 11 4040 20042004 33 5050 20062006 55 6666 20082008 77 8888 20102010 99 9696 Use the ordered pairs (5,66)(5,66) and (7,88)(7,88) to find the equation of a line that approximates the data. Express your answer in slope-intercept form. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.)arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill