Answer: C or 2 seconds.
Step-by-step explanation:
To find the vertex in a standard form equation: (-b/2a,f(-b/2a))
plug it in: -64/2*-32 = 2
Answer:
19.
How do you want to prank him?
Step-by-step explanation:
Answer:
this might be helpful for you
Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
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.
The standard deviation is the square root of the variance. So
![\sigma = \sqrt{0.16} = 0.4](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B0.16%7D%20%3D%200.4)
Then
![M = 1.96*\frac{0.4}{\sqrt{400}} = 0.0392](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B0.4%7D%7B%5Csqrt%7B400%7D%7D%20%3D%200.0392)
The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.