Answer:
x+3, y-4
Step-by-step explanation:
You are moving the triangle 3 to the right, so x+3, an 4 down, so y-4.
Answer:
20 fluid ounces
Step-by-step explanation:
Each cup contains 8 fl oz. This means that if you multiply 2.5 times 8, you get 20.
If you want to break it down more, you can multiply the 2 * 8, then multiply the .5 * 8. Then add the answers together. So.... you get 16 + 4 = 20 fl oz.
Using synthetic division, you can find the quadratic factor to be
.. 2x^2 -3x +1
That, in turn, factors as
.. (2x -1)(x -1)
So the complete factorization is
.. (2x -1)(x -1)(x +3)
and the zeros are confirmed by a graphing calculator to be
.. x = 1/2, 1, -3
Hello :
<span>27x²z+36xz+12z= 3z(9x²+12x+4)</span>
Answer:
The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
For this problem, we have that:
He takes a simple random sample of 122 people living in Gastown and finds that 25 have an annual income that is below the poverty line. This means that
and 
We have
, z is the value of Z that has a pvalue of
= 0.975, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).