Answer:
13 a) 12% prefer pumpkin pie
b) 6.4% prefer pumpkin pie
c) 80% did NOT prefer raspberry pie
d) 235 people would be expected to say that their favorite pie is apple
or blueberry.
14 a) 20% prefer Marlin
b) 12% prefer Dolphins
c) 48.33% prefer seahawks or sharks as their mascot.
d) 116 students would be expected to say that their favorite mascot is a
Penguin.
15 a) 20% prefer Science fiction
b) 46 people would be expected to report mystery as their favorite
genre.
c) 810 people would be expected to report drama, history, or romance
as their favorite genre.
Step-by-step explanation:
13. *There are a total of 125 participants or customers.*
- 35 people prefer apple pie
- 15 people prefer pumpkin pie.
- 8 people prefer pecan pie.
- 28 people prefer cherry pie.
- 25 people prefer raspberry pie.
- 14 people prefer blueberry pie.
a) 15/125 = 0.12 = 12%
12% prefer pumpkin pie
b) 8/125 = 0.064 = 6.4%
6.4% prefer pumpkin pie
c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.
100/125 = 0.8 = 80%
80% did NOT prefer raspberry pie
d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?
Apple: 35/125 = 0.28 = 28%
Blueberry: 14/125 = 0.112 = 11.2%
If there were 600 people:
Apple: 600*0.28 = 168
Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a
person, so it's rounded to 67)
168 + 67 = 235
235 people would be expected to say that their favorite pie is apple or blueberry.
14. *There are a total of 60 students.*
- 5 people prefer Penguins.
- 12 people prefer Marlins.
- 9 people prefer Seahawks.
- 14 people prefer Dolphins.
- 20 people prefer Sharks.
a) 12/60 = 0.2 = 20%
20% prefer Marlin
b) 14/60 = 0.12 = 12%
12% prefer Dolphins
c) Seahawks: 9/60 = 0.15 = 15%
Sharks: 20/60 = 0.33 = 33.33%%
15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.
d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.
Penguins: 5/60 = 0.083 = 8.33%
If there were 1,400 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a
person, so it's rounded to 116)
116 students would be expected to say that their favorite mascot is a Penguin.
15. *There are a total of 75 people.*
- 8 people prefer Action.
- 4 people prefer Comedy.
- 16 people prefer Drama.
- 7 people prefer Mystery.
- 10 people prefer Romance
- 6 people prefer Science fiction
- 3 people prefer Biography
- 12 people prefer History
- 9 people prefer Other
a) 6/75 = 0.2 = 20%
20% prefer Science fiction
b) Out of 500 people, how many would you expect to report mystery as their favorite genre?
Mystery: 7/75 = 0.093 = 9.3%
If there were 500 people:
Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a
person, so it's rounded to 46)
46 people would be expected to report mystery as their favorite genre.
c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?
Drama: 16/75 = 0.2133= 21.33%
History: 12/75 = 0.16 = 16%
Romance: 10/75 = 0.1333 = 13.33%
If there were 1,600 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a
person, so it's rounded to 116)
Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a
person, so it's rounded to 341)
History: 1,600*0.16 = 256
Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a
person, so it's rounded to 213)
341 + 256 + 213 = 810
810 people would be expected to report drama, history, or romance as their favorite genre.
Hope this helps!
