Angle OAB is a right angle, since line AB is tangent to the circle at A. Thus, triangle AOB is a right triangle.
Applying the Pythagorean Theorem: 5^2 + 12^2 = |OB|^2
Then |OB|^2 = 13^2, and |OB| = 13.
We find x by subtracting |OC| from 13: 13 - 5 = 8.
Line segment has length 8; x = 8.
Standard for is x × 10 ^I
where,
I = indice
10 > x < 0
you cannot write this is standard form with putting in what they stand for. However you can simplify it -
4(8m-7n) +6(3n-4m)
32m - 28n + 18n - 24m
8m - 10n
but hey I am from England do what we call standard form might be different
Answer: Third quartile =$21.58
Step-by-step explanation:
Let x be value of a stock .
For uniform distribution,
probability density function = 
Let a be the stock value such that P(x<a) =75% or 0.75
![\Rightarrow\ \int ^{a}_{10.82}f(x)\ dx=0.75\\\\\Rightarrow\ \int ^{a}_{10.82}\dfrac{100}{1435}\ dx=0.75\\\\\Rightarrow\dfrac{100}{1435}[x]^{a}_{10.82}=0.75\\\\\Rightarrow \dfrac{100}{1435}(a-10.82)=0.75\\\\\Rightarrow a-10.82=0.75\times\dfrac{1435}{100}\\\\\Rightarrow a-10.82=10.7625\\\\\Rightarrow a= 10.7625+10.82= $$21.5825\approx $$21.58](https://tex.z-dn.net/?f=%5CRightarrow%5C%20%5Cint%20%5E%7Ba%7D_%7B10.82%7Df%28x%29%5C%20dx%3D0.75%5C%5C%5C%5C%5CRightarrow%5C%20%5Cint%20%5E%7Ba%7D_%7B10.82%7D%5Cdfrac%7B100%7D%7B1435%7D%5C%20dx%3D0.75%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B100%7D%7B1435%7D%5Bx%5D%5E%7Ba%7D_%7B10.82%7D%3D0.75%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B100%7D%7B1435%7D%28a-10.82%29%3D0.75%5C%5C%5C%5C%5CRightarrow%20a-10.82%3D0.75%5Ctimes%5Cdfrac%7B1435%7D%7B100%7D%5C%5C%5C%5C%5CRightarrow%20a-10.82%3D10.7625%5C%5C%5C%5C%5CRightarrow%20a%3D%2010.7625%2B10.82%3D%09%24%2421.5825%5Capprox%09%24%2421.58)
Hence, 75% of all days the stock is below $21.58 or Third quartile =$21.58 .
It would convert into a whole number so if you have to put it in decimal form it would look like this:
8.0
