Unit 9 probability and statistics homework 1 answers

Complete the sentence with the best answer. An exponential model should be used to model data if: A scatter plot of ln y versus ln x fits a linear pattern. A scatter plot of y versus ln x fits a linear pattern. A scatter plot of y versus x fits a linear pattern. A scatter plot of ln y versus x fits a linear pattern. Which system of equations can be used to find the exponential function that passes through the points (2, 254)) and (4, 6254)? 2=a(254)b4=a(6254)b 254=ab26254=ab4 254=a(2)b6254=a(4)b 2=ab2544=ab6254 Which system of equations can be used to find the power function that passes through the points (2, 10) and (8, 25)? Complete the sentence with the best answer. A power model should be used to model data if: A scatter plot of ln y versus ln x fits a linear pattern. A scatter plot of ln y versus x fits a linear pattern. A scatter plot of y versus ln x fits a linear pattern. A scatter plot of y versus x fits a linear pattern. Which table of values shows ln y versus x for the data below? Which of the following exponential models can be used to model the data below? Which exponential function goes through the points and ? Which of the following tables of values shows ln y versus ln x for the data points below? Which of the following power models can be used to model the data below? Find a power function that passes through the points (2.9, 9.4) and (7.3, 12.8). Which of the following equations shows the logarithmic equation below in exponential form? Which of the following equations shows the logarithmic equation below in exponential form? Which of the following logarithms is equal to 1? Evaluate the logarithm -2 2 1/2 -1/2 without a calvulator. Use a calculator to evaluate log 6. Round to three decimal places. 1.732 0.778 1.792 2.449 Simplfy the expression Log x log 2 x Find the inverse of the function y = log7 49x y=2x y=7x What is the domain and range of the graph of the function below? y = log (x-2) Domain: all real numbers; Range: y > 2 Domain: all real numbers; Range: y < 2 Domain: x > 2; Range: all real numbers Domain: x < 2; Range: all real numbers The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model below, where E is the energy (in kilowatt-hours) released by the earthquake. R = 0.67 log (0.37E) + 1.46 Suppose an earthquake releases 14,500,000,000 kilowatt-hours of energy. What is the earthquake’s magnitude? Round to three decimal places. 4.400 3.979 8.268 7.979 Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table below. Which of the following statements is false? In Favor Not in Favor Students 16 23 Teachers 9 14 Thirty-nine students were polled in all. Fourteen teachers were polled in all. Twenty-three students are not in favor of extending the parking lot. Nine teachers are in favor of extending the parking lot. The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the marginal relative frequency of 12th graders? 9th Grade 10th Grade 11th Grade 12th Grade Football 12 8 12 7 Basketball 5 10 7 9 0.4375 0.5625 0.2286 0.1 The table below shows the results of a poll in which randomly selected high school students were asked if they prefer Football or Basketball. What is the joint relative frequency of 10th graders who like football? 9th Grade 10th Grade 11th Grade 12th Grade Football 12 8 12 7 Basketball 5 10 7 9 0.1143 0.1429 0.4444 0.3077 The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. What is the marginal relative frequency of students who prefer traditional school? 9th Grade 10th Grade 11th Grade 12th Grade Virtual 9 14 17 20 Traditional 17 16 5 2 0.06 0.6 0.04 0.4 The table below shows the results of a poll in which randomly selected high school students were asked if they prefer virtual or traditional schools. If you are given a student who prefers virtual school, what is the probability that the student is also a 12th grader? 9th Grade 10th Grade 11th Grade 12th Grade Virtual 9 14 17 20 Traditional 17 16 5 2 about