A sample is a small subset of a population, on which startistical analysis is carried out to obtain the characteristics of the population.
Sampling is the process of selecting units (e.g., people, organizations) from a
population of interest to obtain the characteristics of the population.
When drawing a sample, it is important that all the components of the population of interest is adequately represented.
Thefollowing samples are categorised based on whether they fairly represent the population of interest or not.
1.) M<span>easuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school.
Here, the population of interest is the boys in the school. Drawing a sample of every fiftieth person on the school roster will contain both boys and girls whereas girls are not needed for the purpose of the survey.
Threfore, the sample does not represent fairly the population of interest.
2.) C</span><span>alling
every third person on the soccer team’s roster to determine how many of
the team members have completed their fundraising assignment.
Here, the population of interest is the team members, so drawing a sample of every third person on the soccer team's roster represents fairly the population of interest.
3.) </span>O<span>bserving every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.
Here the population of interest is people who wear glasses, though observing people walking down the road might be a good way to drawing this sample, but the sample will be biased because by 5 pm, the sum will be down and the people who wear glasses because of the sun might not have their glasses on again.
So this sample does not fairly represent the population of interest.
4.) </span>Sending
a confidential e-mail survey to every one-hundredth parent in the
school district to determine the overall satisfaction of the residents
of the town.
Here, the population of interest is the residents of the town and not all residents of the town might be a parent.
So, the sample of one-hundredth parent in the school district does not fairly represent the population of interest.
5.) T<span>aking
a poll in the lunch room (where all students currently have to eat
lunch) to determine the number of students who want to be able to leave
campus during lunch.
Here, the population of interest is the students and taking a poll in the lunch room (where all students currently have to eat lunch) fairly represent the population of interest.
Therefore, the samples that fairly represent the population are:
</span>
<span>C<span>alling
every third person on the soccer team’s roster to determine how many of
the team members have completed their fundraising assignment.
and
</span></span>T<span>aking
a poll in the lunch room (where all students currently have to eat
lunch) to determine the number of students who want to be able to leave
campus during lunch.</span>
Answer:
height = 10.5 cm (for open-top container)
Step-by-step explanation:
The area of the base is ...
A = πr²
The lateral area is ...
A = 2πrh
We want the ratio of these to be 1:6, so we have ...
πr²/(2πrh) = 1/6
6πr² = 2πrh . . . cross multiply
h = 3r . . . . . . . divide by 2πr
h = 3(3.5 cm) = 10.5 cm
The height is 10.5 cm.
Answer: Angle A is 115 degrees
Step-by-step explanation:
In triangle ABC, the measure of angle A is seven more than four times measure of angle B. This means that
Angle A = 4(Angle B) + 7
The measure of angle C is eleven more than measure of angle B. This means that
Angle C = Angle B + 11.
The equations are
A = 4B + 7 - - - - - - - - 1
C = B + 11 - - - - - - - - - - 2
Recall that the sum of the angles in a triangle is 180 degrees. This means that
A + B + C = 180 degrees
Substituting equation 1 and equation 2 into A + B + C = 180, it becomes
4B + 7 + B + B + 11 = 180
6B + 18 = 180
6B = 180 - 18 = 162
B = 162/6 = 27 degrees
Substituting B = 27 into equation 1, it becomes
A = 4×27 + 7 = 108 +7
A = 115 degrees
Substituting B = 27 into equation 2, it becomes
C = 27 + 11
C = 38 degrees
Sum of the angles is 115 + 27 + 38 = 180
Answer:
A) V + 6 B = 372
B) 4V + 12B = 780
We'll divide B) by -4
B) -V -3B = -195 Then we add A)
A) V + 6 B = 372 which equals
3B = 177
1 Bus carries 59 Students
For the Van let's use equation A)
V + 6 * 59 = 372
Van = 372 -354
Each Van Carries 18 Students
Step-by-step explanation:
Hi,
Part A:
Part B;
Vertex is (3,7)
As the coefficient of n² is positive , the vertex is a minimum.
Part C:
Axis of symmetry is n=3
