12
Explanation: Since Avery randomly selected 50 colored pencils and found 2 to be unsharpened, we can calculate the proportion of unsharpened colored pencils in the sample.
2 unsharpened pencils / 50 total pencils = 0.04
Then, we can apply this proportion to the total number of colored pencils in the basket:
0.04 * 300 total pencils = 12 unsharpened pencils
Therefore, we would expect 12 colored pencils in the basket to be unsharpened.
Avery randomly selects 50 colored pencils from a basket and finds that 2 are not sharpened. If the basket contains 300 colored pencils, how many would you expect to be unsharpened?
2
12
120
20
5 answers
There are 628 students in Tan’s high school. Tan surveys 120 randomly chosen students about their favorite movie genre. The results are as follows.
Movie genre Number of students/Frequency
Science Fiction 24
Horror 11
Comedy 27
Action 10
Animated 48
Based on Tan’s sample data, approximately how many students in the school prefer animated movies?
251
141
125
52
Movie genre Number of students/Frequency
Science Fiction 24
Horror 11
Comedy 27
Action 10
Animated 48
Based on Tan’s sample data, approximately how many students in the school prefer animated movies?
251
141
125
52
To find the approximate number of students in the school who prefer animated movies based on Tan's sample data, we can use the concept of proportional reasoning.
Out of the 120 students surveyed, 48 students preferred animated movies.
To scale up to the total number of students in the school (628 students), we set up a proportion:
48 students (preferred animated movies) is to 120 students (surveyed) as x students (preferred animated movies in the school) is to 628 students (total students in the school).
(48/120) = (x/628)
Solving for x:
x = (48 * 628) / 120
x ≈ 251
Therefore, approximately 251 students in Tan's high school prefer animated movies.
So, the closest option is:
251
Out of the 120 students surveyed, 48 students preferred animated movies.
To scale up to the total number of students in the school (628 students), we set up a proportion:
48 students (preferred animated movies) is to 120 students (surveyed) as x students (preferred animated movies in the school) is to 628 students (total students in the school).
(48/120) = (x/628)
Solving for x:
x = (48 * 628) / 120
x ≈ 251
Therefore, approximately 251 students in Tan's high school prefer animated movies.
So, the closest option is:
251
There are 528 students in Pablo’s high school. Pablo surveys 130 randomly chosen students about their favorite ice cream flavor. The results are as follows.
Ice cream flavor Number of students/Frequency
Strawberry 29
Butter Pecan 31
Chocolate 43
Orange Sherbet 10
Vanilla 17
Based on Pablo’s sample data, approximately how many students in the school prefer orange sherbet?
110
45
195
41
Ice cream flavor Number of students/Frequency
Strawberry 29
Butter Pecan 31
Chocolate 43
Orange Sherbet 10
Vanilla 17
Based on Pablo’s sample data, approximately how many students in the school prefer orange sherbet?
110
45
195
41
To find the approximate number of students in the school who prefer orange sherbet based on Pablo's sample data, we can use the concept of proportional reasoning.
Out of the 130 students surveyed, 10 students preferred orange sherbet.
To scale up to the total number of students in the school (528 students), we set up a proportion:
10 students (preferred orange sherbet) is to 130 students (surveyed) as x students (preferred orange sherbet in the school) is to 528 students (total students in the school).
(10/130) = (x/528)
Solving for x:
x = (10 * 528) / 130
x ≈ 40.62
Therefore, approximately 41 students in Pablo's high school prefer orange sherbet.
So, the correct answer is 41.
Out of the 130 students surveyed, 10 students preferred orange sherbet.
To scale up to the total number of students in the school (528 students), we set up a proportion:
10 students (preferred orange sherbet) is to 130 students (surveyed) as x students (preferred orange sherbet in the school) is to 528 students (total students in the school).
(10/130) = (x/528)
Solving for x:
x = (10 * 528) / 130
x ≈ 40.62
Therefore, approximately 41 students in Pablo's high school prefer orange sherbet.
So, the correct answer is 41.