Splash Screen
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Transcript of Splash Screen
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Five-Minute Check (over Chapter 12)
CCSS
Then/Now
New Vocabulary
Example 1:Represent a Sample Space
Example 2:Real-World Example: Multi-Stage Tree Diagrams
Key Concept: Fundamental Counting Principle
Example 3:Real-World Example: Use the Fundamental Counting Principle
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Over Chapter 12
A. 159 in2
B. 145 in2
C. 135 in2
D. 120 in2
Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches.
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Over Chapter 12
A. 85.8 cm3
B. 64.5 cm3
C. 32.0 cm3
D. 15.05 cm3
Find the volume of a cone with slant height of 4.3 centimeters and radius of 3.5 centimeters.
![Page 5: Splash Screen](https://reader035.fdocuments.in/reader035/viewer/2022062422/5681387b550346895da02bc6/html5/thumbnails/5.jpg)
Over Chapter 12
A. 339.3 m3
B. 360.4 m3
C. 421.5 m3
D. 452.4 m3
Find the volume of a hemisphere with radius of 6 meters.
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Over Chapter 12
A. 84 ft2
B. 603.2 ft2
C. 1005.3 ft2
D. 2412.7 ft2
Find the lateral area of a cylinder with radius of 8 feet and height of 12 feet.
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Over Chapter 12
A. 93.4 yd2
B. 99.4 yd2
C. 131.9 yd2
D. 142.8 yd2
Find the surface area of a cone with slant height of 8.5 yards and radius of 3.5 yards.
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Over Chapter 12
A. 8.7 in.
B. 18.0 in.
C. 19.8 in.
D. 76.4 in.
The volume of a sphere is 24,429 cubic inches. What is the radius of the sphere?
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Content Standards
Preparation for S.CP.9 (+) Use permutations and combinations to compute probabilities of compound events and solve problems.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
2 Reason abstractly and quantitatively.
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You calculated experimental probability.
• Use lists, tables, and tree diagrams to represent sample spaces.
• Use the Fundamental Counting Principle to count outcomes.
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• sample space
• tree diagram
• two-stage experiment
• multi-stage experiment
• Fundamental Counting Principle
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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
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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.
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Represent a Sample Space
Tree Diagram
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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.
A. B.
C. D. Y, Y; B, B; Y, B
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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.
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Multi-Stage Tree Diagrams
Answer:
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A. 3
B. 4
C. 5
D. 6
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?
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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.
exterior interior seat engine computer wheels doors possiblecolor color outcomes
11 7 5 3 6 4 3 83,160 × × × × × × =
Answer: So, a consumer can create 83,160 different possible cars.
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A. 3,888
B. 3,912
C. 4,098
D. 4,124
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?
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