Question
When Alison and Pamela play chess, Alison wins 60% of the time. If they play a best-3-of-5 series, how many games would you expect to be played before a winner is determined? Use the random digits below which were generated using the command Int(5 × Rand) + 1 on a graphing calculator. Let the digits 1-3 represent a win for Alison and the digits 4 and 5 represent a win for Pamela. Each string of random digits was terminated once a winner had been determined.
A)
4.5
B)
3.9
C)
3.6
D)
4.2
A)
4.5
B)
3.9
C)
3.6
D)
4.2
Answers
Anonymous
When Alison and Pamela play chess, Alison wins 60% of the time. If they play a best-3-of-5 series, how many games would you expect to be played before a winner is determined? Use the random digits below which were generated using the command Int(5 × Rand) + 1 on a graphing calculator. Let the digits 1-3 represent a win for Alison and the digits 4 and 5 represent a win for Pamela. Each string of random digits was terminated once a winner had been determined.
RED
When Alison and Pamela play chess, Alison wins 60% of the time. If they play a best-3-of-5 series, how many games would you expect to be played before a winner is determined? Use the random digits below which were generated using the command Int(5 × Rand) + 1 on a graphing calculator. Let the digits 1-3 represent a win for Alison and the digits 4 and 5 represent a win for Pamela. Each string of random digits was terminated once a winner had been determined.
1 4 2 5 3
1 1 5 2
5 2 4 1 2
2 2 1
2 5 4 1 5
4 2 3 2
1 5 5 2 4
2 1 4 2
2 3 5 1
4 2 5 5
1 4 2 5 3
3 2 1
4 3 5 2 2
3 5 1 1
5 4 5
1 4 2 5 3
1 1 5 2
5 2 4 1 2
2 2 1
2 5 4 1 5
4 2 3 2
1 5 5 2 4
2 1 4 2
2 3 5 1
4 2 5 5
1 4 2 5 3
3 2 1
4 3 5 2 2
3 5 1 1
5 4 5
RED
Identify the specified angles.
4)
All pairs of corresponding angles
4)
_______
A)
Ú4 and Ú2, Ú5 and Ú7, Ú3 and Ú1, Ú6 and Ú8
B)
Ú4 and Ú8, Ú5 and Ú1, Ú3 and Ú7, Ú6 and Ú2
C)
Ú3, Ú2 , Ú7, and Ú6
D)
Ú4 and Ú1, Ú3 and Ú2, Ú5 and Ú8, Ú6 and Ú7
4)
All pairs of corresponding angles
4)
_______
A)
Ú4 and Ú2, Ú5 and Ú7, Ú3 and Ú1, Ú6 and Ú8
B)
Ú4 and Ú8, Ú5 and Ú1, Ú3 and Ú7, Ú6 and Ú2
C)
Ú3, Ú2 , Ú7, and Ú6
D)
Ú4 and Ú1, Ú3 and Ú2, Ú5 and Ú8, Ú6 and Ú7
RED
If the triangles are similar, write a similarity statement and give a reason why they are similar. If you cannot confirm that the triangles are similar, indicate "Not necessarily similar."
9)
9)
_______
A)
¢ABC ~ ¢DEF, SAS Similarity Theorem
B)
¢ABC ~ ¢DEF, Right Triangle Similarity Theorem
C)
¢ABC ~ ¢DEF, AA Similarity Postulate
D)
Not necessarily similar
9)
9)
_______
A)
¢ABC ~ ¢DEF, SAS Similarity Theorem
B)
¢ABC ~ ¢DEF, Right Triangle Similarity Theorem
C)
¢ABC ~ ¢DEF, AA Similarity Postulate
D)
Not necessarily similar
RED
Find the area of the specified figure.
10)
¢ABC
10)
______
A)
35 square units
B)
70 square units
C)
80 square units
D)
40 square
10)
¢ABC
10)
______
A)
35 square units
B)
70 square units
C)
80 square units
D)
40 square
RED
Use the properties of parallel lines to solve the problem.
11)
If p ðF q and mÚ8 = 52‹, what are the measures of the other angles?
11)
______
A)
mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 38‹
B)
mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 128‹
C)
mÚ5 = mÚ6 = mÚ7 = 52‹, mÚ1 = mÚ2 = mÚ3 = mÚ4 = 128‹
D)
mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 138‹
11)
If p ðF q and mÚ8 = 52‹, what are the measures of the other angles?
11)
______
A)
mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 38‹
B)
mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 128‹
C)
mÚ5 = mÚ6 = mÚ7 = 52‹, mÚ1 = mÚ2 = mÚ3 = mÚ4 = 128‹
D)
mÚ2 = mÚ4 = mÚ6 = 52‹, mÚ1 = mÚ3 = mÚ5 = mÚ7 = 138‹
RED
Given the floor plan, determine whether a person could traverse through each unit by passing through each door only once.
12)
12)
______
A)
Yes
B)
No
12)
12)
______
A)
Yes
B)
No