An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Calculate the total number of games: 6 + 9 + 8 + 1 + 0 + 1 = 25 .
Calculate the relative frequency for 0 goals: 25 6 = 0.24 .
Calculate the relative frequency for 1 goal: 25 9 = 0.36 .
The relative frequencies for 2, 3, 4, and 5 goals are 0.32, 0.04, 0, and 0.04, respectively. Therefore, the completed relative frequency table is obtained by filling in these values.
Explanation
Understand the problem We are given a table with the frequency of goals scored by a soccer team. Our task is to calculate the relative frequencies for each goal count and complete the table. The relative frequency is calculated by dividing the frequency of each goal count by the total number of games played.
Calculate the total number of games First, we need to find the total number of games played. We sum the frequencies of all goal counts: T o t a l = 6 + 9 + 8 + 1 + 0 + 1 = 25 So, the team played a total of 25 games.
Calculate the relative frequencies Now, we calculate the relative frequency for each goal count by dividing its frequency by the total number of games (25):
For 0 goals: R e l a t i v e F re q u e n cy ( 0 ) = 25 6 = 0.24
For 1 goal: R e l a t i v e F re q u e n cy ( 1 ) = 25 9 = 0.36
For 2 goals: R e l a t i v e F re q u e n cy ( 2 ) = 25 8 = 0.32
For 3 goals: R e l a t i v e F re q u e n cy ( 3 ) = 25 1 = 0.04
For 4 goals: R e l a t i v e F re q u e n cy ( 4 ) = 25 0 = 0
For 5 goals: R e l a t i v e F re q u e n cy ( 5 ) = 25 1 = 0.04
Complete the table Finally, we can complete the relative frequency table with the calculated values.
Examples
Understanding relative frequencies can help a coach analyze the team's performance. For example, if the relative frequency of scoring 0 goals is high, the coach might focus on improving the team's offensive strategies. Similarly, if the relative frequency of scoring 1 or 2 goals is high, the coach can analyze those games to identify successful tactics and replicate them.
