<span>The Empirical Rule is used when data distribution is bell shaped, whereas Chebyshev's theorem is used for all distribution shapes</span>
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
Answer:
4.5
Step-by-step explanation:
We are given opposite and adjacent, so use tangent
tan(37)=x/6
6tan(37)=4.521324301
Answer:B
Step-by-step explanation:
A is wrong because it's less than the 450.
D is wrong because 2 inches would equal 900. So, you're down to B or C. Multiply 450×1.4= 630. 450×1.5= 675. 630 is closer to 635, therefore it is the answer.
Answer:
Slope=2 (m=slope=2)
Step-by-step explanation:
