Answer:
The answer is 4,277,241
Step-by-step explanation:
I subtracted 283,651 from 4560892.
You undistribute like
ab+ac=a(b+c) so
2pir^2+2pirh=(2pir)(r)+(2pir)(h)=2pir(r+h)
Answer:
The blank is - only chance factors caused the outcome.
Step-by-step explanation:
Null hypothesis significance testing uses the laws of probability to estimate the likelihood of an outcome by first assuming that - only chance factors caused the outcome.
This kind of testing is a statistical testing where an experimental factor is tested against the hypothesis of no effect based on a given observation.
Answer:
Long diagonal: 12.12 yd
Short diagonal: 7 yd.
Step-by-step explanation:
As you can see, 4 righ triangles are formed.
The larger diagonal divides the angle ∠AFM=60° into two angles of 30° each.
Then, choose one the triangles that has the angles of 30°. The hypotenuse will be the side lenght of 7 yards, the long diagonal (D) will be twice the adjacent side and the short diagonal (d) will be twice the opposite side.
Then:
- Long diagonal:
![\frac{D}{2}=7*cos(30\°)=6.06yd\\\\D=2(\frac{D}{2})=2(6.06yd)=12.12yd](https://tex.z-dn.net/?f=%5Cfrac%7BD%7D%7B2%7D%3D7%2Acos%2830%5C%C2%B0%29%3D6.06yd%5C%5C%5C%5CD%3D2%28%5Cfrac%7BD%7D%7B2%7D%29%3D2%286.06yd%29%3D12.12yd)
- Short diagonal:
![\frac{d}{2}=7*sin(30\°)=3.5yd\\\\d=2(\frac{d}{2})=2(3.5yd)=7yd](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B2%7D%3D7%2Asin%2830%5C%C2%B0%29%3D3.5yd%5C%5C%5C%5Cd%3D2%28%5Cfrac%7Bd%7D%7B2%7D%29%3D2%283.5yd%29%3D7yd)
Answer:
<h2>Graph b</h2>
Step-by-step explanation:
The equation of a linear function in slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The graph of linear function is a straight line therefore we need only two points to the plotting the graph.
![-4x+3y=-12\qquad\text{add 4x to both sides}\\\\3y=4x-12\qquad\text{divide both sides by 3}\\\\y=\dfrac{4}{3}x-4\\\\for\ x=0\to y=\dfrac{4}{3}(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=3\to y=\dfrac{4}{3}(3)-4=4-4=0\to(3,\ 0)](https://tex.z-dn.net/?f=-4x%2B3y%3D-12%5Cqquad%5Ctext%7Badd%204x%20to%20both%20sides%7D%5C%5C%5C%5C3y%3D4x-12%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B4%7D%7B3%7Dx-4%5C%5C%5C%5Cfor%5C%20x%3D0%5Cto%20y%3D%5Cdfrac%7B4%7D%7B3%7D%280%29-4%3D0-4%3D-4%5Cto%280%2C%5C%20-4%29%5C%5C%5C%5Cfor%5C%20x%3D3%5Cto%20y%3D%5Cdfrac%7B4%7D%7B3%7D%283%29-4%3D4-4%3D0%5Cto%283%2C%5C%200%29)
![-2x+3y=-18\qquad\text{add 2x to both sides}\\\\3y=2x-18\qquad\text{divide both sides by 3}\\\\y=\dfrac{2}{3}x-6\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0,\ -6)\\\\for\ x=3\to y=\dfrac{2}{3}(3)-6=2-6=-4\to(3,\ -4)](https://tex.z-dn.net/?f=-2x%2B3y%3D-18%5Cqquad%5Ctext%7Badd%202x%20to%20both%20sides%7D%5C%5C%5C%5C3y%3D2x-18%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B2%7D%7B3%7Dx-6%5C%5C%5C%5Cfor%5C%20x%3D0%5Cto%20y%3D%5Cdfrac%7B2%7D%7B3%7D%280%29-6%3D0-6%3D-6%5Cto%280%2C%5C%20-6%29%5C%5C%5C%5Cfor%5C%20x%3D3%5Cto%20y%3D%5Cdfrac%7B2%7D%7B3%7D%283%29-6%3D2-6%3D-4%5Cto%283%2C%5C%20-4%29)