Answer:
1/-9
Step-by-step explanation:
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Answer:
(64+320π) cm^3
Step-by-step explanation:
The volume of a cube is the length*width*height, so
the volume of this cube is 4*4*4=64 cm^3
The volume of a cylinder is the base*height
The base of a cylinder is the area of a circle, which is π*the radius of the circle squared
The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.
The area of the base of the cylinder is π8^2=64π
Now, multiply the base by the height, 5
64π*5=320πcm^3
We now have the volume of the cube and the volume of the cylinder, so now we just add them:
(64+320π) cm^3
let's notice the tickmarks on the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.
the trapezoid has an altitude/height of 2 ft, thus
![\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20a%2Cb%3D%5Cstackrel%7Bbases%7D%7Bparallel~sides%7D%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D2.5%5C%5C%20b%3D3.5%5C%5C%20h%3D2%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B2%282.5%2B3.5%29%7D%7B2%7D%5Cimplies%20A%3D6)
64-128-256
each step double previous number
Answer:
Option C) a positive correlation.
Step-by-step explanation:
We are given the following in the question:
" People who tend to score low on one variable tend to score low on another variable."
Correlation:
- Correlation is a technique that help us to find or define a linear relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.
Thus, the correct answer is
Option C) a positive correlation.