If you reflect something over the y axis, you reverse the x coordinate, because as you reflect it over the y axis, it's not changing its height, it's changing its place on the x axis.
So basically,
(8, -10)
becomes
(-8, -10)
Answer:
18 is 72% of 25 which is also known as 28% less of 25
Step-by-step explanation:
18/25=.72
1-.72=.28
.28=28%
Answer:
x = 14
Step-by-step explanation:
It is a 6 sided shape so 6 -2 x 180 = 720 degrees sum of exterior angles
10 x + 6x+10 +9x+4 +7x+2 +12x-8 +8x-16 = 720
52 x - 8 = 720
52x = 728
x =14
Answer:
Tu divises 3.50$ par 24 cookies donc environ 14 centimes
Answer:
The 96% confidence interval for the population mean of all bulbs produced by this firm is between 765 hours and 795 hours.
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{1-0.96}{2} = 0.02](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.96%7D%7B2%7D%20%3D%200.02)
Now, we have to find z in the Ztable as such z has a pvalue of ![1-\alpha](https://tex.z-dn.net/?f=1-%5Calpha)
So it is z with a pvalue of 1-0.02 = 0.98, so z = 2.055
Now, find the margin of error 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.
So
![M = 2.055*\frac{40}{\sqrt{30}} = 15](https://tex.z-dn.net/?f=M%20%3D%202.055%2A%5Cfrac%7B40%7D%7B%5Csqrt%7B30%7D%7D%20%3D%2015)
The lower end of the interval is the mean subtracted by M. So 780 - 15 = 765 hours.
The upper end of the interval is M added to the mean. So 780 + 15 = 795 hours.
The 96% confidence interval for the population mean of all bulbs produced by this firm is between 765 hours and 795 hours.