Answer:
(3,1.5)
Step-by-step explanation:
Finding the midpoint of 2 endpoints (or just two points) can be done with the equation (x1+x2)/2 and (y1+y2)/2. When I say x1 I mean the x-value of the first coordinate which would be -2 and when I say y1 i mean the y-value of the first coordinate which is 6. So plugging in the coordinates would give you (-2+8),(6+-3). Now you add your terms together and get the numbers (6) and (3). After that you must divide those number by two so (6)/2 and (3)/2 which would equal (3,1.5).
2x=-y+6
-4x+3y=8
Rewriting the equations;
y+2x=6
3y-4x=8
Multiplying equation I by 3;
3y+6x=18
3y-4x=8
Subtracting equation II from equation I;
10x=10
x=1
Replacing for x in the first equation;
2x=-y+6
2(1)=-y+6
2=-y+6
2-6=-y
-4=-y
y=4
If u are trying to solve for x is that x=2
Answer:
There is no enough evidence to claim that there is a difference between the two population proportions.
Step-by-step explanation:
We have to perform an hypothesis testing for a difference between two population proportions.
The null hypothesis will state that both proportions are the same, and the alternative hypothesis will state that they differ. This would be than a two-side hypothesis test.
We can write this as:
The significance level for this test is 0.05.
The sample of city residents with school-age children has a sample size n1=230 and a sample proportion p1=0.41
The sample of city residents without school-age children has a sample size n2=341 and a sample proportion p2=0.51
The weighted p, needed to calculate the standard error, is the weighted average of both sample proportions:
The standard error of the difference of proportions can now be calculated as:
The test statistic z is:
The P-value for this two side test and this value of the z-statistic is:
The P-value is bigger than the significance level, so the effect is not significant. The null hypothesis failed to be rejected.
There is no enough evidence to claim that there is a difference between the two population proportions.
Answer: y = 18.
First subtract 2 on both sides.
y/3 = 6
Then multiply 3 on both sides.
y = 18
Hope this helps!