If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1. (1, −1) (1, 1) (−4, −1) (−4, 1) Question 9(Multiple Choice Worth 1 points) (02.02 LC) Pentagon ABCDE is shown on the coordinate plane below: Pentagon on coordinate plane with ordered pairs at A negative 2, 4, at B negative 6, 2, at C negative 5, negative 2, at D 1, negative 2, at E 2, 2. If pentagon ABCDE is rotated 180° around the origin to create pentagon A′B′C′D′E′, what is the ordered pair of point D′? (−1, 2) (2, 1) (1, −2) (−2, −1) Question 10(Multiple Choice Worth 1 points) (02.02 MC) Which statement accurately describes how to perform a 180° rotation of point A (−2, 3) around the origin? Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 180° from point A. Create a circle with point A as its center and a radius of the origin and point A, then locate a point on the circle that is 180° from point A. Create a line parallel to the x‒axis from point A, and locate a point on the perpendicular line that is equidistant to the distance between the y-axis and A. Create a line perpendicular to the y-axis from point A, and locate a point on the perpendicular line that is equidistant to the distance between the y-axis and A. You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam Explorer Toolbox Workload My Folders Current course: 4872 Instructors monitor ALL areas of a student's account Student e-mail accounts are to be used for FLVS course-related email only and not for general introductions or spamming of people in your address book. Please remember to click the Logoff link when you have completed your work in the course. FDK441.10 Previous QuestionNext Question

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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

Angie has saved 3/8 of the amount she needs to buy a bike. clive has saved 7/10 of the amount he needs to buy a skateboard. what is the difference between clive's and angie's fraction of savings?