That probability is about 1.7% according to my calculator.
Answer: THIRD OPTION.
Step-by-step explanation:
The missing figure is attached.
You can observe in the figure two equal right triangles: RST and RSV.
Notice that:
![TS=VS](https://tex.z-dn.net/?f=TS%3DVS)
Knowing that:
![TS=6x-3\\\\VS=39](https://tex.z-dn.net/?f=TS%3D6x-3%5C%5C%5C%5CVS%3D39)
You can substitute values into the equation and solve for "x":
![6x-3=39\\\\6x=39+3\\\\6x=42\\\\x=\frac{42}{6}\\\\x=7](https://tex.z-dn.net/?f=6x-3%3D39%5C%5C%5C%5C6x%3D39%2B3%5C%5C%5C%5C6x%3D42%5C%5C%5C%5Cx%3D%5Cfrac%7B42%7D%7B6%7D%5C%5C%5C%5Cx%3D7)
Now, you can identify in the figure that:
![RV=2x+5](https://tex.z-dn.net/?f=RV%3D2x%2B5)
Having the value of "x" calculated above, you can subsitute into the equation and evaluate, in order to find the length of segment RV:
![RV=2(7)+5\\\\RV=14+5\\\\RV=19\ units](https://tex.z-dn.net/?f=RV%3D2%287%29%2B5%5C%5C%5C%5CRV%3D14%2B5%5C%5C%5C%5CRV%3D19%5C%20units)
Since:
![RV=RT](https://tex.z-dn.net/?f=RV%3DRT)
You get that:
![RT=19\ units](https://tex.z-dn.net/?f=RT%3D19%5C%20units)
Finally, you must add RT and RV in order to find the length of the segment TV. This is:
![TV=19\ units+19\ units\\\\TV=38\ units](https://tex.z-dn.net/?f=TV%3D19%5C%20units%2B19%5C%20units%5C%5C%5C%5CTV%3D38%5C%20units)
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.
Answer:
x= -2
Step-by-step explanation:
If the slope is zero, that means the line is horizontal.
Answer:
48π ≈ 150.72
Step-by-step explanation:
The volume formula is V = 1/3Bh
The base area formula would be πr²
Since 8 is the diameter, 4 would be the radius
Now plug that in, π (4²) = 16π
Now multiply that by the height, 9, and get 144π
Multiply again by 1/3 and you'll get 48π