Answer:
Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.
Step-by-step explanation:
Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.
Answer:
y = 3
Step-by-step explanation:
(5y - 3)/4 + 6 = 3y
5y - 3 + 24 = 12y
7y = 21
y = 3
Check.
(5*3 - 3)/4 + 6 = 3*3
(15 - 3)/4 + 6 = 9
12/4 + 6 = 9
3 + 6 = 9
9 = 9
The 9 is in the tenths place so it should be 9x1/10. Meaning it would be 100+3x1+9x1/10+3x1,000
Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:

Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:
60 ÷ 5 = 12
12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:
48: 12 = 4: 1
Answer:
The area is 88.39 cm
Step-by-step explanation:
Here, we want to find the area of the semicircle given that the diameter of the semi circle is 15 cm
We start by getting the radius
Mathematically r = D/2
= 15/2 = 7.5
Area of semicircle is area of circle/2
= (pi * r^2)/2
= (22/7 * 7.5^2)/2 = 88.39 cm