Create two dart boards using the information in the answered questions and the measurements provided.

MicrosoftWord- X I Body Systems Prc x I E BodySystems Poe x I E BodySystems Pos x I a Watch Believe Me x I u HomeworkHelpr X a Dartboard Projec X + o X (- -> C i docsgoog|e.com/document/cl/1BchnBGngOgK7fP37thYsBMngf05yeq1chaeyzE/edit Q r a. '9 g Dartboard Project-Sophia Greenberg 1} El 6 File Edit View Insert Format Tools Addrons Help Lasteditwassecondsagg In a E A/ ?I 100% v Normaltext v Arial v u + 3 I U A I 2: 1;: ..v 3'; /Edmng v A l - v I z 3 4 5 a v 7 1. What 4 colors will you use for your board? Will it have a theme or a specific name? The 4 colors I chose that I will use for my board are yellow, pink, red and green. The theme of this board ls Spongebob SquarePants. In which Spongebob is color yellow, Patrick ls pink, Mr. Crab ls red and Squldward is green. 2. How will you make sure that all four colors on one board have the same theoretical probability 01 being hit and that the colors on the other board do not have the same probability of being hit'? On the rst board, I will make sure that every color has the same area, so I am sure that each color has the same theoretical probability of being hit. On the second board, I will make the area of each other different so that each color does not have the same probability of being hit. 3. How will you choose the shape of your boards? What is important about the shape? Does the board with equal color probabilities have to be symmetrical? Does the board with unequal color probabilities have to be non-symmetrical? Explain, I will choose a circular dartboard for the shape of my boards because there Is fairness ii the board is circular and it is one of the importances of having a circular board. Also, I plan to make the board spinning so that the art of throwing to the dart board will not affect the probability of result. A board with equal probabi es has to be symmetrical since the chances are the same. A board with unequal color probabilities has to be non-symmetrical since chances are different. 4. How many sections will you have on each board? What is the minimum number of sections? How will you shape the sections of your boards? Do the sections on the board | with equal probability need to be the same shape? Why or why not? I have four sections on each of my boards and I will shape each section for every color so it looks like a pie. The board with equal probability needs to be the same shape since it was stated that their area is the same to have equal probability of landing on each of the colors. 5. How will players score points using your board? Will each section be worth the same amount of points? On the first board, each section will be worth the same number of points since the a, probability Is equal. 0n the second board, each section wIll be worth a cllfierent number of points since the probability is different. o 9 PM E ,0 Type here to search 80 F MOSHY Clear aha/2021 Bb Microsoft Word - X Bb Body Systems Pro X Body Systems Pos X _ Body Systems Pos X a Watch Believe Me X Homework Help X Dartboard Project X + X -> C a docs.google.com/document/d/1BcLvnB6rCggK7fP37dhPYsBMrWgf05yeq1qDcaeyzE/edit F.7 Dartboard Project-Sophia Greenberg File Edit View Insert Format Tools Add-ons Help Last edit was seconds ago Share 100% Normal text Arial 11 + BIUA . 1 3 1 4 ' 6. Calculate the probabilities of hitting each color on your board. Use mathematics to show that each color on one board has an equal probability of being hit and that colors on the other board do not have an equal probability of being hit I choose two boards that have a diameter of 12 inches. By this, the area of the two boards are both the same. Since the diameter is 12 inches, it means that the radius is 6 inches. Calculating the area of the boards: Sophia Greenberg First Board : A = JTr 2 A = JC ( 6 inches ) 2 4 = 3.14 ( 36 inches ) A = 113 .04 in 2 On the first board, each color have the same area of 28.26 in every color has probability of 28.26 in2 1 = or 25% 113. 04 :2 = 4 0 Second Board : Yellow, pink, red and green have area of 11. 304 in 2, 22, 608 in 33. 9132 in2 and 45. 216 in2 Color Yellow probability = 11.304 in 113.04 - = 10 = 10% Color Pink probability = 22 . 608 in2 2 6 = 20% Color Red probability = 33.9 16 2in2 3 Color Green probability 113.04 16: 30% y = 45. 21 6in 2 - 4 113.04 10 = 40 + Type here to search O 9 2 80OF Mostly clear EPIC 10:30 PM 6/13/2021 E3Bb Microsoft Word - X Bb Body Systems Pro X Body Systems Pos X _ Body Systems Pos x a Watch Believe Me X Homework Help - X Dartboard Project X + X learn-us-east-1-prod-fleet01-xythos.content.blackboardcdn.com/blackboard.learn.xythos.prod/5ac3f59cc982/1005913?X-Blackboard-Expiration=1623553200000&X-BI... @ Microsoft Word - Alg2_1000_Quiz.docx 1 / 1 | - 160% + Name Date Chapter 10 Performance Task (continued) A New Dartboard You are a graphic artist working for a company on a new design for the board in the game of darts. You are eager to begin the project, but the team cannot decide on the terms of the game. Everyone agrees that the board should have four colors. But some want the probabilities of hitting each color to be equal, while others want them to be different. You offer to design two boards, one for each group. How do you get started? How creative can you be with your designs? 1. What 4 colors will you use for your board? Will it have a theme or a specific name? 2. How will you make sure that all four colors on one board have the same theoretical probability of being hit and that the colors on the other board do not have the same probability of being hit? 3. How will you choose the shape of your boards? What is important about the shape? Does the board with equal color probabilities have to be symmetrical? Type here to search O Fi 9 2 80OF Mostly clear 10:31 PM 6/13/2021 E3