Answer:
(11) The central angle of a sector in a circle graph can be calculated by finding the ratio of the number of campers who chose that activity to the total number of campers, and then multiplying by 360 degrees.
For paddleboarding, the ratio is:
54 (number of campers who chose paddleboarding) / 100 (total number of campers) = 0.54
The central angle for paddleboarding is:
0.54 x 360 degrees = 194.4 degrees
Therefore, paddleboarding does not have a central angle of 54 degrees.
For kayaking, the ratio is:
15 / 100 = 0.15
The central angle for kayaking is:
0.15 x 360 degrees = 54 degrees
Therefore, the answer is Kayaking.
(12) Assuming that the proportion of principals in the exhibit room is representative of the entire conference, we can estimate the number of principals in attendance at the conference as follows:
The proportion of teachers in the exhibit room is 18/70 = 0.2571
The proportion of principals in the exhibit room is 52/70 = 0.7429
If we assume these proportions hold for the entire conference, then we can estimate the number of principals in attendance as:
(0.7429)(750) = 557.175
Therefore, we can predict that there were about 557 principals in attendance at the conference. Answer: There were about 557 principals in attendance.
(13) Out of 225 students, 27 prefer cookies.
To predict the number of cookies the college will need, we can use proportions.
Let x be the total number of students in the college who prefer cookies. Then, we can set up the following proportion:
27/225 = x/4000
Solving for x, we get:
x = (27/225) * 4000
x = 480
Therefore, the best prediction about the number of cookies the college will need is that it will have about 480 students who prefer cookies.
The answer is: The college will have about 480 students who prefer cookies.
(14) bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44, is the correct way to display the given data.
(15) To determine which bus typically has the faster travel time, we need to compare the measures of center (mean and median) for both data sets.
For Bus 47, the median is the middle value when the data is arranged in order, which is 14 minutes. The mean can be found by summing all the travel times and dividing by the total number of students:
(4+6+10+10+12+12+16+16+16+18+22+22+22+28+28) / 15 = 16.13 minutes (rounded to the nearest hundredth)
For Bus 18, the median is the middle value when the data is arranged in order, which is 12 minutes. The mean can be found by summing all the travel times and dividing by the total number of students:
(6+6+8+9+10+10+12+12+14+14+16+16+18+20+22) / 15 = 12.27 minutes (rounded to the nearest hundredth)
Comparing the measures of center, we see that Bus 47 has a higher mean and median, indicating that it typically has a longer travel time than Bus 18. Therefore, the answer is: Bus 18, with a median of 12.