Answer:
There is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
Step-by-step explanation:
We have to answer the population proportion for Vermont.
We can only do it by a confidence interval, as we only have information from a sample.
This sample, of size n=100, has a proportion p=0.653.
The degrees of freedom are:
We will calculate a 95% confidence interval, which for df=99 has a critical value of t of t=1.984.
The margin of error can be calculated as:
Then, the upper and lower bounds of the confidence interval are:
Then, we can say that there is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
Answer:
Step-by-step explanation:
The Cartesian product between two discrete sets, is given by all possible ordered pairs originated with the combinations of the elements of the two sets, thus the requested Cartesian product is:
You can see the attached file
Answer:
Option a -
Step-by-step explanation:
Given : f(x) = x minus three divided by eight.; g(x) = 8x + 3
To find : The value of g(f(x)) ?
Solution :
The function given are,
and
The value of g(f(x)) is given by,
Therefore, Option a is correct.
Answer:
b
Step-by-step explanation:
180 minus 82