Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
t = 3c - 5
Step-by-step explanation:
The relation between c and t is linear as the increase of the value of t is uniform for each unit increase in the value of c.
Now, any two points on the graph of the t = f(c) equation are sufficient to determine the equation.
Let the points are (2,1) and (3,4).
So, using two points formula of straight line we get the equation is
⇒ t - 4 = 3(c - 3)
⇒ t - 4 = 3c - 9
⇒ t = 3c - 5 (Answer)
As per given , we have
Sample size : n= 5
Degree pf freedom = : df= 5-1=4
Significance level for 90% confidence =
Using t-value table , t-critical value for 90% confidence:
Margin of error of :
Interpretation : The repair cost will be within $12.39 of the real population mean value 90% of the time.