Answer:
(f - g) (x)
Step-by-step explanation:
Since (x) is common between them, you can bring it out. for example,
f(x) = x +1
g(x) = 2x + 3
f(x) - g(x) = x + 1 - 2x + 3
= -x + 4
(f - g) (x) = x + 1 - 2x + 3
= -x + 4
Answer:
The answer is
her score was in the top 85% of all test takers' scores.
Step-by-step explanation:
Percentile is the relative standing in a set of data from the lowest values to highest values.
If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score.
Answer:
n=601
Step-by-step explanation:
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
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 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
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)
Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=601