a survey of a groups sports viewing habits over the last year revealed the following information: 28% watched soccer, 295 watched basketball, 19% watched tennis, 14% watched soccer and basketball, 12% watched basketball and tennis, 105 watched soccer and tennis, 8% watched all three sports.
Answers
Answer:
Wrong Data
Step-by-step explanation:
a survey of a groups sports viewing habits over the last year revealed the following information: 28% watched soccer, 295 watched basketball, 19% watched tennis, 14% watched soccer and basketball, 12% watched basketball and tennis, 105 watched soccer and tennis, 8% watched all three sports.
Let say Total number of Players = x
Watched Soccer = 28% of x = 0.28x = S
Watched Basket ball = 295 = B
Watched Tennis = 0.19x = T
watched Soccer & Basketball = 0.14x = S ∩ B
watched Basketball & Tennis = 0.12x = B ∩ T
watched Soccer & Tennis = 105 = S ∩ T
Watched All three sports = 0.08x = S ∩ B ∩ T
Total number of Players = S + B + T - S ∩ B - B ∩ T - S ∩ T + S ∩ B ∩ T
Total number of players = x
0.28x + 295 + 0.19x - 0.14x - 0.12x - 105 + 0.08x = x
=> 0.29x + 190 = x
=> 190 = 0.71x
=> x = 190/0.71
=> x = 267
So there is something wrong in data.