A voter polling research group determined that 41% of the voters in a country would vote for the democratic candidate with a 4%
margin of error. If they anticipate only 12,000 people will turn out to vote in the election, which would represent the possible number of voters for the democratic candidate?
A. 480 to 960 voters
B. 4916 to 4924 voters
C. 4440 to 5400 voters
D. 4680 to 5160 voters
A. 480 to 960 voters
B. 4916 to 4924 voters
C. 4440 to 5400 voters
D. 4680 to 5160 voters
2 answers:
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Question 1
Identify the following data set:
...In a study about all of the runners in the Peachtree Road Race last year, the first 10 and the last 50 runners to finish were asked what type of shoe they preferred for the race.
Sample
Question 2
Identify the following NUMERICAL values:
...the average number of years of experience a teacher has at GCA out of ALL the teachers at GCA.
Parameter
Question 3
Which type of sampling method is being employed in the following example:
"A study is being conducted at a ride at six flags, where every 5th person is asked how long had to wait in line."
Systematic Sampling
Question 4
Which type of sampling method is being employed in the following example:
"A newspaper reporter wants to know what the people of Georgia think about the latest trades the Braves baseball team have made for an article but is running late. So, the reporter decides to just ask people at the news office what they think to provide a sample of the public's opinion in the article."
Sampling of Convenience
Question 5
Which type of study best describes the following research most likely to be done?
The bureau of Labor Statistics needs to determine the average hourly wage of teenage employees for the U.S.government.
Sampling
Question 6
Which type of study best describes the following research most likely to be done?
A researcher believes that headaches can be relived by drinking water flavored by mint leaves. So the researcher asks a group at the hospital to participate in a study in which the researcher gives half of the participants in the study just plain water and half the water flavored by mint leaves to compare the two groups.
Experimental
Question 7
A researcher believes that working out in colder temperatures will burn more calories because a person has to burn more calories to keep warm. The researcher decides to study various groups of people working out at different temperatures and measure their progress.
How would you describe the temperature in the study?
Independent Variable
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Answer:
According to the rule of 72, the doubling time for this interest rate is 8 years.
The exact doubling time of this amount is 8.04 years.
Step-by-step explanation:
Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.
By the rule of 72, we have that the doubling time D is given by:
The interest rate is in %.
In our exercise, the interest rate is 9%. So, by the rule of 72:
.
According to the rule of 72, the doubling time for this interest rate is 8 years.
Exact answer:
The exact answer is going to be found using the compound interest formula.
In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
So, for this exercise, we have:
We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.
is double the initial amount, double the principal.
The interest is compounded anually, so
Now, we apply the following log propriety:
So:
The exact doubling time of this amount is 8.04 years.