Podcast
Questions and Answers
Can a triangle be constructed with the lengths 72cm, 60cm, and 145cm? Justify your answer.
Can a triangle be constructed with the lengths 72cm, 60cm, and 145cm? Justify your answer.
No, because the sum of the lengths of the two shorter sides (72cm + 60cm = 132cm) is less than the length of the longest side (145cm).
What is the probability that event A occurs if the sample space S consists of 20 equally likely outcomes and event A has 8 outcomes?
What is the probability that event A occurs if the sample space S consists of 20 equally likely outcomes and event A has 8 outcomes?
The probability of event A is $\frac{8}{20} = 0.4$.
In a Venn diagram, if event A has 8 outcomes and event B has 6 outcomes from a sample space of 20, what is the probability of event A occurring given that event B has occurred?
In a Venn diagram, if event A has 8 outcomes and event B has 6 outcomes from a sample space of 20, what is the probability of event A occurring given that event B has occurred?
The probability of event A given B is $\frac{P(A \cap B)}{P(B)}$, where P(B) = $\frac{6}{20}$ and P(A and B) needs to be determined from the diagram.
If a teacher identifies the solid that does NOT belong from a cone, a pyramid, and a prism, can you argue why the cone could be considered the odd one out?
If a teacher identifies the solid that does NOT belong from a cone, a pyramid, and a prism, can you argue why the cone could be considered the odd one out?
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Given a triangle LMN with sides LM = 4 mm, MN = 8 mm, and NL = 7 mm, what angle is the largest?
Given a triangle LMN with sides LM = 4 mm, MN = 8 mm, and NL = 7 mm, what angle is the largest?
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The initial fee for hiring a limo is to be determined. If the total cost for 5 hours is $400, what can you say about the cost per hour?
The initial fee for hiring a limo is to be determined. If the total cost for 5 hours is $400, what can you say about the cost per hour?
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How do you convert 18cm to inches, and what is the result rounded to the hundredths place?
How do you convert 18cm to inches, and what is the result rounded to the hundredths place?
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State the number of faces, edges, and vertices in a square pyramid.
State the number of faces, edges, and vertices in a square pyramid.
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Study Notes
Exam 3 - Study Notes
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Problem 1: Determine if triangles can be constructed from given side lengths.
- Example: 72cm, 60cm, 145cm (No)
- Example: 42m, 58m, 96m (Yes)
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Problem 2: Venn Diagrams and Probability
- Probability of event A occurring (Example values provided)
- Probability of event B occurring
- Conditional probabilities (A given B, B given A, A given not B) and P(A and B) and P(A or B)
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Problem 3: Identifying Non-Matching Solids
- Cone, pyramid and prism identification
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Problem 4: Triangle Sketching and Classification.
- Sketching triangle LMN with given side lengths
- Side lengths LM = 4mm, MN = 8mm, NL = 7mm
- Sketching triangle LMN with given side lengths
- Large Angle Identification: Identify the largest angle, explain reasoning
- Triangle Classification: Determine the type of triangle and show how to derive the answer
- Problem 5: Precision and Greatest Possible Error (GPE) (Values provided)
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Problem 6: Calculating Costs and Time for Limousine
- Interpretation of coordinate pairs on a graph
- Calculating hours for a specific cost and initial fee values.
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Problem 7: Converting Centimeters to Inches
- Round to hundredths place
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Problem 8: Square Pyramid Properties
- Faces, edges, and vertices.
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Problem 9: Hexagon Area and Radius Calculation.
- Hexagon apothem (Example Value) , perimeter (Example Value).
- Calculate area and radius.
- Problem 10: Angle Relationships. Describe the connection of two angles provided.
- Problem 11: Outliers in Data Sets. Identify and determine outliers in dataset. Given a 5-number summary. Calculating an outlier.
- Problem 12: Data Spread Comparison (Upper vs Lower).
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Problem 13: Probability of No Green Marbles
- Calculate probability of drawing two marbles that are not green, without replacement.
- Problem 14: System of Equations (solutions for y = 3x + 7 and y = 5x - 9). Solve for system.
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Description
Prepare for your Geometry Exam 3 with this comprehensive study guide. The quiz covers topics like triangle construction, Venn diagrams, probability, identifying solids, and triangle classification. Test your knowledge with practical problems and scenarios to ensure you're ready for the exam.
