Find the Vertex Form
y = -(x-3)^2-1
Answer:
*1 month later*
Step-by-step explanation:
Answer:
The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.8595
The margin of error is:
M = T*s = 1.8595*2.7 = 5
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams
The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.
The 90% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.
Answer:

Step-by-step explanation:
First at all, we need to use
to convert this expression into a fraction, like:
to convert into
.
Expand the fraction to get the least common denominator, like

Write all numerators above the common denominator, like this:

The bottom one used the same way to became simplest form, like this:




And it became like this:

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

3y-2(5) and 5y-1(3)
and it will becomes like this in function form:

Then, we should distribute 5 through the parenthesis


And.... Here we go. That is the answer.