Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Answer:
Step-by-step explanation:
1) add all angles to 180
2) exterior angle = P + Q
i can add remaining ones also
Intersecting on the y axis means x=0.
Plug x=0 in the equation to find out the y value of the intercept> 0+4y-24=0, y=6
so the both line passes the point (0,6)
two perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other is -b/a
In this case, the line x+4y-24=0, 4y=-x+24, y=-1/4 x + 6, the slope is -1/4, so the slope of the perpendicular line is 4/1.
the equation is y=4x+6
Yes that is correct always
Answer:
C. (36337.32, 48968.68)
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B9114%7D%7B%5Csqrt%7B8%7D%7D%20%3D%206315.68)
The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.
The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.
So the correct answer is:
C. (36337.32, 48968.68)