Description Unit 9: Applications of Probability End Checkpoint Apply Lessons 4 - 5 Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it. OPEN ENDED Describe two real-life events that are dependent. OPEN ENDED Describe two mutually exclusive events and two inclusive events. Writing in Math Use the information on page 730 to explain how probability applies to what teens do online. Include an explanation of whether the events listed in the graphic are mutually exclusive or inclusive.
Description Which expression could be used to represent the total amount of money (in cents) in x nickels, (x + 3) dimes, and 2x quarters? (Hint: the value of a nickel is 5 cents, the value of a dime is 10 cents, and the value of a quarter is 25 cents). A. x + x + 3 + 2x B. 5x + 10(x + 3) + 25x C. 5x + 10x + 3 + 25(2x) D. 5x + 10(x + 3) + 25(2x)
Description 1) Find csc ? in the right triangle below. 2) Find tan ? in the right triangle below. 3) Find x in the triangle below. Round to the nearest tenth. 4) Find x in the triangle below. Round to the nearest degree. 5) Find x in the triangle below. Round to the nearest tenth. 6) Find x in the triangle below. Round to the nearest degree. 7) Find the exact value of x in the triangle below. 8) Find the exact value of x in the triangle below. 9) If the secant of angle ? is 13/5, what is the value of the sine of angle ?? 10) A geologist measured a 40° of elevation to the top of a mountain. After moving 0.5 kilometer farther away, the angle of elevation was 34°. How high is the top of the mountain? (Hint: Write a system of equations in two variables.)
Description Which of the following equations is equivalent to the equation below? 8(x - 4) - 2 = 6x - 3x + 1 A. 1 + 2(x - 2x) = 15 B. 2(x - 1) + 2x = x + 19 C. 3(x - 4) + 2x = 5(x + 6) D. -2(x - 1) = 2x + 16
Description Lessons 1 - 3 Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it. OPEN ENDED Draw and label an example of an angle with negative measure in standard position. Then find an angle with positive measure that is coterminal with this angle. Writing in Math Use the information on page 779 (attached below) to explain how trigonometry is used in building construction. Include an explanation as to why the ratio of vertical rise to horizontal run on an entrance ramp is the tangent of the angle the ramp makes with the horizontal. Writing in Math Use the information on page 796 (attached below) to explain how you can model the position of riders on a skycoaster.
Description Complete the following activity. You will turn in the results of this activity for your assessment for this lesson. Calculate the volume and surface area of a standard cereal box. Calculate the cost of manufacturing a standard cereal box if cardboard costs .05 per square inch. Design a new cereal box that will hold the same amount of cereal but reduce manufacturing costs. Prove that your new design holds the same amount but can be manufactured more cheaply. Draw a net of your new design. Include all relevant measurements so that your cereal box can be mass produced. You will turn in the following: a table containing the measurements of a standard cereal box clearly labeled work showing how you calculated the volume of a standard cereal box clearly labeled work showing how you calculated the surface area of a standard cereal box clearly labeled work showing how you found the cost of producing a standard cereal box an explanation proving that your new design holds the same amount of cereal as a standard cereal box but that it costs less to manufacture a net of your new design, including any measurements that would be necessary to produce the cereal box
