Answer:

Or:

Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:

Thus, first, we need to find the slope. We can use the slope formula:

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

Or, fully simplified:

Using the other point, we will acquire:

Or, simplified:

Answer:

Step-by-step explanation:
Factor the numerator and cancel common factors from numerator and denominator.

Answer:
30,122
Step-by-step explanation:
This probably isn't the fastest way to solve but....
28,337x1.26%= 357
357x5=1785
28,337+1785=30,122
The 5 came from the # of years the population is increasing
9514 1404 393
Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
__
Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6
Answer:
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, 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:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).