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%.
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
Answer:
592,000
Step-by-step explanation:
The new dimensions are 500, 280, and 200. Multiply 2(500*280 + 500*200 + 280*200) to get the answer
Answer:
b) $640
Step-by-step explanation:
Competitor's price = $800
<u>Price, 20% below of competitor's:</u>
- $800 - 20% =
- $800*(100-20)/100 =
- $800*0.8 =
- $640
Correct answer choice is b) $640