Algebra EOC Practice - Data & Probability

1) 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?

4 hours

8 hours

18 hours

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.

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

36

720

46,656

21

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.

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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12) 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?

36

144

1320

479,001,600

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.

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.