Give the domain and the range of the function in the graph. The domain is ... (Type your answer in interval notation.) -10-8-6 The range is (Type your answer in interval notation.) 10- 8. = -4- X 6 8 10 Give the domain and the range of the function in the graph. The domain is ... (Type your answer in interval notation.) -10-8-6 The range is (Type your answer in interval notation.) 10- 8. = -4- X 6 8 10 The data given is the expected points for a football team with first down and 10 yards to go from various points on the field. In the given table, x stands for the number of yards from the goal and y stands for the expected points. (Note: x = 500, x = 33,250, y = 21.178, y = 95.726782, = 413.81.) X y X y 5 6.041 55 1.538 15 4.982 65 0.923 25 3.681 75 0.236 35 3.167 85 - 0.537 45 2.392 95 - 1.245 a. Calculate the coefficient of correlation. Does there appear to be a linear correlation? b. Find the equation of the least squares line. c. Use the answer from part (b) to predict the expected points when a team is at the 50-yd line. a. The coefficient of correlation r is (Do not round until the final answer. Then round to three decimal places as needed.) Does there appear to be a linear correlation? A. Yes, the data points show linear correlation. B. No, there is no linear correlation between the data points. b. The equation of the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) points. c. When a team is at the 50-yd line, the expected points will be (Type an integer or decimal rounded to two decimal places as needed.) The half-life of plutonium-241 is approximately 13 years. (a) How much of a sample weighing 6 g will remain after 70 years? (b) How much time is necessary for a sample weighing 6 g to decay to 0.1 g? (a) After 70 years, g will remain. (Do not round until the final answer. Then round to four decimal places as needed.) (b) The sample will decay to 0.1 g after years. (Do not round until the final answer. Then round to the nearest year.)