Kami Export - U08L05GA12
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University of Texas *
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Subject
Mathematics
Date
Apr 3, 2024
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3
Uploaded by SuperHumanGorillaMaster1233
Name: ___________________ Geometry B Unit 08 –
Lesson 05 Circles & Probability
07212022 University of Texas at Austin UT High School 1 Graded Assignment –
Circles & Probability Directions:
Print and provide answers all answers on this sheet. You may use your journal and calculator. Make sure to show all work and use the rubric to get the most credit.
When complete, upload your completed assignment and submit to your teacher. Part 1 Circles Use the diagram for #1- #3 1.
Suppose that 𝑚??
̂
= 67.37°. Determine 𝑚??
̂
and m
∠
ADB
.
2.
??
̅̅̅̅
≅??
̅̅̅̅
; BE = 6; and AC = 13. Find ??
̅̅̅̅
. 3.
Using the measurements provided in Question 2, solve for BC. Round your answer to the nearest hundredths place or leave in simplest radical form. 4.
In the space below, use a compass and straight edge to construct two circles that share two common tangents.
Geometry A 65503 Unit 08 –
Lesson 05 Circles & Probability University of Texas at Austin UT High School 2 5.
Below, graph the circle that is represented by the equation (
x
+ 3)² + (
y
–
1)² = 16 Part 2 Probability 6.
Jon is packing for a trip. He has packed 2 pairs of pants, 4 shirts, and 2 pairs of shoes. In the space below, create a tree diagram, table, or list to show the sample space representing his outfit combinations and determine how many outfits can be made.
Geometry A 65503 Unit 08 –
Lesson 05 Circles & Probability University of Texas at Austin UT High School 3 7.
Describe, in your own words, the difference between a combination and permutation. 8.
Hawkeye Elementary School is having a raffle for students who are in sports. The school leaders are voting to choose between the two options below. i.
Option 1: Raffle off two items and include all boys and girls in each raffle. ii.
Option 2: Have a separate raffle for boys and a separate raffle for girls. Not in Sports In Sports Total Girls 17 18 35 Boys 17 21 38 Total 34 39 73 If you get to vote and you have a daughter in sports, which option would you vote for and why? Use at least two or more calculations to defend your answer. 9.
A bag contains one tile for each letter of the word PANDA. If you selected a permutation of these letters at random, what is the probability that they would spell the word panda? Hint: Note that there is a repeated letter. 10.
An employee was conducting a service at the local supermarket. In his survey, he found that 63% of the shoppers intended to purchase produce on their trip. 80% of those shoppers intended to purchase both fruits and
vegetables. What percentage of total shoppers surveyed intend to purchase only fruits or
vegetables (not both)?
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