Answer:
0.025 ;
(-0.7198 ; 0.7698)
Step-by-step explanation:
From the table :
_____________ private schls ___ public schls
Sample size, n _____ 80 __________ 520
P, NBC teachers ___ 0.175 ________ 0.150
P1 = P of private school teachers
P2 = P of public school teachers
Difference in proportion :
P1 - P12 = 0.175 - 0.150.= 0.025
The 90% confidence interval for 2 - sample proportion :
C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]
Zcritical at 90% = 1.645
C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]
C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]
C.I = 0.025 ± 1.645 * 0.0452755
C.I = 0.025 ± 0.07448
C.I = (-0.7198 ; 0.7698)
Answer:
SAS
Step-by-step explanation:
SSS, as you used, is incorrect because we only have two of the sides. Luckily, if we look at our theorems, one of them includes two sides!
These triangles are prooven similar with SAS. We have to two of the sides that are similar (as you have showed with your work in the photo), and we also have an angle. This angle comes from the vertical angles that show up as our triangles share a point.
I hope this helps, have a nice day! :D
or 
is very easy to graph.
Choose whatever value of 
and use the same for 
in the same coordinate. Repeat and strike a line through all the points.
Some examples of valid points would be: 
, 
, 
and 
.
Then, to graph 
you have to look at it in terms of the equation of a line (
) and its parts.
In this case, 
and 
.
So, you choose any value for and you solve to find its counterpart.
I will start with 
:
Now, we have a first coordinate: 
.
Repeat with a different value:
It gives us the coordinates 
.
Plot those into the graph and strike a line through them.
Wherever the two lines in your Cartesian Plane cross, that is the solution for both equations. It should be 
.
You can check it by replacing and by "3" in both formulas and equating the values of :
Your solution is worked out and checked to be correct.
PS: I am attaching a picture of the graph, so you can have a visual idea of what it should look like.
Answer:
rn i am doing hw but i can help you with this later , do you need the answer rn ??
