20/35
Simplify it and you will have 4/7
Answer:
50
Step-by-step explanation:
Answer:
The mean blood cholesterol level for the sample is 184mg/dl
Step-by-step explanation:
Hello!
When you construct any confidence interval for the mean, the general structure is "estimator±margin of error"
For example under a Z-distribution the formula is
X[bar]±
*(σ/√n)
So you subtract or add "
*(σ/√n)" to the sample mean. In other words, this type of confidence interval is centered on the sample mean.
If the interval is already calculated, you just have to add both limits and divide by two to get the sample mean.
[166mg/dl;202mg/dl]
sample mean: x[bar]= (166+202) = 184mg/dl
2
I hope you have a SUPER day!
Answer:
Scatter plot graph, both 8 and 12 seem less likely to fit they are longer hours in the time axis x, but if we draw a straight line through 5hrs with a ruler, we see a mirror image of 4 to 6 and see less activity in larger amounts of higher hours spent between 7-12
Step-by-step explanation:
Answer:
![\boxed{r=3cm}](https://tex.z-dn.net/?f=%5Cboxed%7Br%3D3cm%7D)
Step-by-step explanation:
The volume of a cylinder is given by the formula;
![V=\pi \time r^2 h](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Ctime%20r%5E2%20h)
It was given that the volume of the cylinder,
, and its height, ![h=12cm](https://tex.z-dn.net/?f=h%3D12cm)
We substitute the given values into the formula to obtain;
![108\pi=\pi\times r^2\times 12](https://tex.z-dn.net/?f=108%5Cpi%3D%5Cpi%5Ctimes%20r%5E2%5Ctimes%2012)
We divide through by
to obtain;
![\frac{108\pi}{12\pi}=r^2](https://tex.z-dn.net/?f=%5Cfrac%7B108%5Cpi%7D%7B12%5Cpi%7D%3Dr%5E2)
![\Rightarrow 9=r^2](https://tex.z-dn.net/?f=%5CRightarrow%209%3Dr%5E2)
We take the positive square root of both sides to obtain;
![\Rightarrow \sqrt{9}=r](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csqrt%7B9%7D%3Dr)
![3=r](https://tex.z-dn.net/?f=3%3Dr)
![r=3cm](https://tex.z-dn.net/?f=r%3D3cm)
Therefore the length of the cylinder's radius is 3cm.