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AURORKA [14]
3 years ago
12

Categorize the type of sampling (simple random, stratified, systematic, cluster, or convenience) used in each of the following s

ituations.
A) To conduct a preelection opinion poll on a proposed amendment to the state constitution, a random sample of 10 telephone prefixes (first three digits of the phone number) was selected, and all households from the phone prefixes selected were called.
B) To conduct a study on depression among the elderly, a sample of 30 patients in one nursing home was used.
C) To maintain quality control in a brewery, every 20th bottle of beer coming off the production line was opened and tested.
D) Subscribers to the magazine Sound Alive were assigned numbers. Then a sample of 30 subscribers was selected by using a random-number table. The subscribers in the sample were invited to rate new compact disc players for selecting the songs in the playlist.
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

Answer: See explanation

Step-by-step explanation:

Cluster sampling, is a form of sampling whereby the population is divided by the researchers into smaller groups that are referred to as clusters and then the sample will be taken from the clusters formed.

Convenience sampling is when a sample is drawn based on the available population.

Systematic sampling is when a sample is gotten when the members are taken at regular intervals e.g 5th person, 12th items etc.

Simple random sampling is when the sample is selected from the larger population and in this case, every member involved can be selected as they all have an equal chance.

Based in the definition above, the answers will be:

a. Cluster sample

b. Convenience sample

c. Systematic sample

d. Simple random sample

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I need the domain range and function. With an explanation
erastovalidia [21]
<h3>Answers:</h3>

Problem 1

  • Domain = -3 < x \le 3, interval notation (-3, 3]
  • Range = -3 \le y < 3, interval notation [-3, 3)
  • Is it a function? Yes

Problem 2

  • Domain = x \ge -2, interval notation [-2, \infty)
  • Range = All real numbers, interval notation (-\infty, \infty)
  • Is it a function? No

Problem 3

  • Domain = -4 \le x < 3, interval notation [-4, 3)
  • Range = -4 < y \le 3, interval notation (-4, 3]
  • Is it a function? Yes

Problem 4

  • Domain = All real numbers, interval notation (-\infty, \infty)
  • Range = y \le 4, interval notation (-\infty, 4]
  • Is it a function? Yes

==================================================

Explanations:

  1. The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore -3 < x \le 3 which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
  2. The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is x \ge -2 which in interval notation is [-2, \infty). The range is (-\infty, \infty) to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
  3. This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
  4. This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is y \le 4 which is the same as saying (-\infty, 4] in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

7 0
3 years ago
Two similar polygons have areas of 16 square inches and 64 square inches. The ratio of a pair of corresponding sides is 1/4.
Luden [163]
Your answer is A. True.

Hope this helps.


5 0
3 years ago
Someone help please
Mrac [35]
Use ax^2 + bx + c = 0

ac = -8
b = 2

The factors are 4 and -2.
Plug them into the equation:

x^2 + 4x - 2x - 8

Then factorise it:

x ( x + 4) - 2 (x + 4)

so m = 4

(x + 4)^2

4 0
3 years ago
What's the degree of the polynomial c^5+9c^2– 3d^7c3 – 3d
Irina18 [472]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
SUBSETS
anastassius [24]

Answer:

1 = false

2 = true

3 = false

4 = false

6 0
2 years ago
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