Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
The proportions differ from those reported in the survey.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The proportions does not differ from those reported in the survey.
<em>Hₐ</em>: The proportions differ from those reported in the survey.
Assume that the significance level of the test is, α = 0.01.
The Chi-square test statistic is given by:

Consider the Excel sheet provided.
The Chi-square test statistic value is 191.32.
The <em>p</em>-value of the test is:

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.
Thus, concluding that the proportions differ from those reported in the survey.
Answer:
n = 19/18
Step-by-step explanation:
11/6 = n + 7/9
-n + 11/6 = 7/9
-n = 7/9 - 11/6
-n = -19/18
n = 19/18
Answer:
10 mi
Step-by-step explanation:
In this question you have to use Pythagorus Theorem. a²+b²=c²
a = 15
b = 20
So, 15²+ 20² = c²
= 225 + 400 = 625
So Ferris to Butte is
which is 25.
So now you would do 15 + 20 to find out Wayne's distance. 35 - 25 = 10.
Hope it made sense and I didn't waffle
Answer:
(-3, -7)
Step-by-step explanation:
Let 
The midpoint coordinates
of any two points
and
are given by
and 
Since B is the midpoint of AC


Since E is the midpoint of B and D and we are given the coordinates of E as (-4,-3). it follows that

Therefore

Similarly
