Answer: 2/10
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
Given that an advisor to the mayor of a large city wants to estimate, within 3 minutes, the mean travel time to work for all employees who work within the city limits.
Let X be the random variable denoting the time for employees to travel within city limit
Std dev of X
For 95% confidence interval Z critical 1.96 is used because population std dev is known
Margin of error
i.e.
where n is the desired sample size.
Simplify to get
Hence atleast 64 employees should he poll
Answer:
a) 272 used at least one prescription medication.
b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
Step-by-step explanation:
Question a:
86.6% out of 3149, so:
0.866*3149 = 2727.
272 used at least one prescription medication.
Question b:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
For the percentage:
0.856*100% = 85.6%
0.876*100% = 87.6%.
The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
The greatest common factor between the expressions is 6v.
<h3>
How to find the greatest common factor?</h3>
We have the expressions:
We can see that the smallest power of "v" is 1, and it appears on the second expression, so the greatest common factor will be a number times v.
To get the number, we need to find the greatest common factor between the 3 coefficients.
12, 30, and 42.
Rewriting these 3 numbers we can see that:
12 = 2*2*3
30 = 2*3*5
42 = 2*3*7
In all the cases we can see that the factor 2*3 appears, so that is the greatest common factor between the coefficients.
So we can conclude that the greatest common factor between the expressions is:
2*3*v = 6v
And we can rewrite:
- 12v^2 = (6v)*(2v)
- 30v = (6v)*(5)
- 42v^4 = (6v)*(7v^3)
If you want to learn more about common factors, you can read:
brainly.com/question/219464