Answer:
A typical example would be when a statistician wishes to estimate the ... by the standard deviation ó) is known, then the standard error of the sample mean is given by the formula: ... The central limit theorem is a significant result which depends on sample size. ... So, the sample mean X/n has maximum variance 0.25/ n.
Step-by-step explanation:
Tan (pi/3) = Sin (pi/3) / Cos (pi/3) or y/x
y= (squareroot of 3)/2
x= 1/2
sqrt 3/2 × 2/1 (the reciprocal) = sqrt 3
Answer:
The area of the regular octagon is ![293.72\ units^{2}](https://tex.z-dn.net/?f=293.72%5C%20units%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of the regular polygon is equal to
![A=\frac{1}{2}Pa](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7DPa)
where
P is the perimeter of the regular polygon
a is the apothem
<em>Find the perimeter P</em>
![P=8(7)=56\ units](https://tex.z-dn.net/?f=P%3D8%287%29%3D56%5C%20units)
Find the area
![A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2856%29%2810.49%29%3D293.72%5C%20units%5E%7B2%7D)
Which one will we start with? I'll explain 21. multiply it out and the clean it up. you should end up with 140=A if I'm correct.
Answer:
![\large\boxed{|x+7|\geq2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%7Cx%2B7%7C%5Cgeq2%7D)
Step-by-step explanation:
Look at the picture.
![|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)](https://tex.z-dn.net/?f=%7Cx-a%7C%5Cgeq%20b%5C%5C%5C%5Ca%3D%5Cdfrac%7B-9%2B%28-5%29%7D%7B2%7D%3D%5Cdfrac%7B-14%7D%7B2%7D%3D-7%5C%5C%5C%5Cb%3D-9-%28-7%29%3D-9%2B7%3D-2%5C%5Cb%3D-5-%28-7%29%3D-5%2B7%3D2%5C%5C%5C%5C%7Cx-%28-7%29%7C%5Cgeq2%5C%5C%5C%5C%7Cx%2B7%7C%5Cgeq2%5C%5C%5C%5CCheck%3A%5C%5C%5C%5C%7Cx%2B7%7C%5Cgeq2%5Ciff%20x%2B7%5Cgeq2%5C%20%5Cvee%5C%20x%2B7%5Cleq-2%5Cqquad%5Ctext%7Bsubtract%207%20from%20both%20sides%7D%5C%5C%5C%5Cx%2B7-7%5Cgeq2-7%5C%20%5Cvee%5C%20x%2B7-7%5Cleq-2-7%5C%5C%5C%5Cx%5Cgeq-5%5C%20%5Cvee%5C%20x%5Cleq-9%5Cqquad%20CORRECT%5C%20%3A%29)