To get total miles traveled, multiply 30 miles per hour by number of hours.
The equation would be m = 30h
Answer:
You should select at least 216 statistics professors.
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.
In this problem, we have that:
![M = 2, \sigma = 15](https://tex.z-dn.net/?f=M%20%3D%202%2C%20%5Csigma%20%3D%2015)
![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)
![2 = 1.96*\frac{15}{\sqrt{n}}](https://tex.z-dn.net/?f=2%20%3D%201.96%2A%5Cfrac%7B15%7D%7B%5Csqrt%7Bn%7D%7D)
![2\sqrt{n} = 29.4](https://tex.z-dn.net/?f=2%5Csqrt%7Bn%7D%20%3D%2029.4)
![\sqrt{n} = 14.7](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%2014.7)
![\sqrt{n}^{2} = (14.7)^{2}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%5E%7B2%7D%20%3D%20%2814.7%29%5E%7B2%7D)
![n = 216](https://tex.z-dn.net/?f=n%20%3D%20216)
You should select at least 216 statistics teachers.
Step-by-step explanation:
y=1/4x²
using d formula of derivatives
y=nax^n-1
where your n=2 and a=1/4
so we have
y=2(1/4)x^2-1
=1/2x
Translation of 2 units left, and a reflection across the x axis :)
D arouter ,..................................................