# Algebra EOC Practice - Data & Probability

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| By Lreusch
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Lreusch
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Quizzes Created: 7 | Total Attempts: 48,355
Questions: 12 | Attempts: 129

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### A math competition awards prizes to the first, second, and third place winners.  There are 12 teams entered.  How many ways can the winning team be selected?

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36

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144

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1320

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479,001,600

C. 1320
Explanation
There are 12 teams entered in the math competition. The first place winner can be selected from any of the 12 teams. After the first place winner is selected, there are 11 teams remaining to choose from for the second place winner. Similarly, after the second place winner is selected, there are 10 teams remaining to choose from for the third place winner. Therefore, the total number of ways to select the winning team is 12 * 11 * 10 = 1320.

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• 9.

### Six people are at Applebee's for lunch.  How many ways can arrange themselves at the table?

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36

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720

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46,656

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21

B. 720
Explanation
There are six people at the table, and each person can sit in one of the six available seats. The first person has six options, the second person has five options, the third person has four options, and so on. Therefore, the total number of ways to arrange themselves at the table is 6 x 5 x 4 x 3 x 2 x 1 = 720.

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• 10.

### On Monday Bridget worked 7 hours, on Tuesday she worked 8 hours, and on Wednesday she worked 9 hours.  What is the average number of hours she worked per day?

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4 hours

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8 hours

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18 hours

B. 8 hours
Explanation
The average number of hours Bridget worked per day can be calculated by adding up the total number of hours she worked over the three days (7 + 8 + 9 = 24) and dividing it by the number of days (3). So, 24 divided by 3 equals 8 hours.

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• Current Version
• Apr 15, 2024
Quiz Edited by
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• May 17, 2011
Quiz Created by
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