Answer:
n=1849
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Assuming that the proportion is estimated 
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1849
Answer:
Option a)
Step-by-step explanation:
To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.
Then. x = 2 it's a vertical asintota.
To obtain the horizontal asymptote of the function take the following limit:
if 
then y = b is horizontal asymptote
Then:
Therefore y = 0 is a horizontal asymptote of f(x).
Then the correct answer is the option a) x = 2, y = 0
The first one on the right
If b is greater, then it will be to the right of a
Answer:
$138
Step-by-step explanation:
We can first turn the words into a mathematical equation by substituting words with the information we have:
Total earning - ( Price of three books)
$180 - (Price of one book x 3)
$180 - ($14 x 3)
Finally, after we have created the mathematical equation, we solve it!
$180 - ($14 x 3)
$180 - $42
$138
Answer:
slope= 11
Step-by-step explanation:
(12,23) = (x1,y1)
(14,45) = (x2,y2)
Now,
slope(m)= (y2-y1)/(x2-x1)
=(45-23)/(14-12)
=22/2
=11
