At the Westminster Dog Show, sponsors wish to measure the popularity of the booths in the retail area. Using a list of all attendees, a random number is generated to determine a starting position in the list and then every tenth attendee is placed in the sample. When the end of the list is reached, sampling continues from the top of the list. Sampling stops when the starting position is reached. Which of the following methods was used to select the probability sample?
(A) Random
(B) Systematic
(C) Stratified
(D) Cluster
(E) Simple random

(B) Systematic

Step-by-step explanation:

(A) Random   : In this researcher randomly selects individual from population to make sample.

(B) Systematic  : It is a kind of random sampling method where researcher decide the starting point to select individual , then follow a systematic pattern to select them.

(C) Stratified  : It is a kind of random sampling method where researcher divides the population into groups ( on the basis of characteristics) called as strata , then selects individuals from each strata.

(D) Cluster  : It is a kind of random sampling method where researcher divides the population into groups known as clusters , then randomly selects clusters to include in sample.

(E) Simple random : It is a kind of random sampling method  where researcher randomly selects individual from population to make sample.

Since , a random number is generated to determine a starting position in the list and then every tenth attendee is placed in the sample.

That means  sponsors follow as systematic pattern.

Therefore , the methods was used to select the probability sample : (B) Systematic

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.