Answer:
The sum of the slam dunks made in the junior league is 1,000 slam dunks
Step-by-step explanation:
The known parameters are;
The average number of slam dunks between the sophomore basketball league members, μā = 20
The average number of slam dunks between the sophomore and junior basketball league members, μā = 30
The number of members of the sophomore league, nā = 40
The number of members of the junior league, nā = 20
We get;
The sum of the scores of the sophomore league members, Sā = μā Ć nā
ā“ S = 20 Ć 40 = 800
The sum of the scores of the sophomore and junior league members combined, Sā = (nā + nā) à μā
ā“ Sā = (40 + 20) Ć 30 = 1,800
The sum of the slam dunks made by the junior league members, Sā = Sā - Sā
ā“ Sā = 1,800 - 800 = 1,000
ā“ The sum of the slam dunks made in the junior league, Sā = 1,000