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5-Minute Check 2

A B C D. Find the volume of a cone with slant height of 4.3 centimeters and radius of 3.5 centimeters. 32.0 cm 3. 5-Minute Check 2. A B C D. Find the volume of a hemisphere with radius of 6 meters. 452.4 m 3. 5-Minute Check 3. A B C D.

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5-Minute Check 2

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  1. A B C D Find the volume of a cone with slant height of 4.3 centimeters and radius of 3.5 centimeters. 32.0 cm3 5-Minute Check 2

  2. A B C D Find the volume of a hemisphere with radius of 6 meters. 452.4 m3 5-Minute Check 3

  3. A B C D Find the surface area of a cone with slant height of 8.5 yards and radius of 3.5 yards. 131.9 yd2 5-Minute Check 5

  4. A B C D The volume of a sphere is 24,429 cubic inches. What is the radius of the sphere? 18.0 in. 5-Minute Check 6

  5. Represent sample spaces. • Use the Fundamental Counting Principle to count outcomes. Then/Now

  6. Represent a Sample Space One red token and one black token are placed in a bag. A token is drawn and the color is recorded. It is then returned to the bag and a second draw is made. Represent the sample space for this experiment by making an organized list a table, and a tree diagram. Organized List Pair each possible outcome from the first drawing with the possible outcomes from the second drawing. R, R B, BR, B B, R Example 1

  7. Represent a Sample Space Table List the outcomes of the first drawing in the left column and those of the second drawing in the top row. Example 1

  8. Represent a Sample Space Tree Diagram Example 1

  9. A B C D A.B. C.D.Y, Y; B, B; Y, B One yellow token and one blue token are placed in a bag. A token is drawn and the color is recorded. It is then returned to the bag and a second draw is made. Choose the correct display of this sample space. Example 1

  10. Multi-Stage Tree Diagrams CHEF’S SALAD A chef’s salad at a local restaurant comes with a choice of French, ranch, or blue cheese dressings and optional toppings of cheese, turkey, and eggs. Draw a tree diagram to represent the sample space for salad orders. The sample space is the result of 4 stages. ● Dressing (F, R, or BC) ● Cheese (C or NC) ● Turkey (T or NT) ● Eggs (E or NE) Draw a tree diagram with 4 stages. Example 2

  11. Multi-Stage Tree Diagrams Answer: Example 2

  12. A B C D BASEBALL GAME In the bleachers at a major league game you can purchase a hotdog, bratwurst, or tofu dog. This comes with the optional choices of ketchup, mustard, onions, and/or relish. How many stages are in the sample space? 5 Example 2

  13. Concept

  14. exterior interior seat engine computer wheels doors possible color color outcomesexterior interior seat engine computer wheels doors possible color color outcomes 11 7 5 3 6 4 3 83,160 × × × × × × = Use the Fundamental Counting Principle CARS New cars are available with a wide selection of options for the consumer. One option is chosen from each category shown. How many different cars could a consumer create in the chosen make and model? Use the Fundamental Counting Principle. Answer:So, a consumer can create 83,160 different possible cars. Example 3

  15. A B C D BICYCLES New bicycles are available with a wide selection of options for the rider. One option is chosen from each category shown. How many different bicycles could a consumer create in the chosen model? 3,888 Example 3

  16. End of the Lesson

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