<span>An obtuse triangle will have one and only one obtuse angle. </span>
<span>The other two angles are acute angles.</span>
<span>The sum of the two angles other than the obtuse angle is less than 90º.<span /></span>
<span><span>The side opposite to the obtuse angle is the longest side of the triangle.</span></span>
<span><span>
</span><span>The points of concurrency, the Circumcenter and the Orthocenter lie outside of an obtuse triangle, while Centroid and Incenter lie inside the triangle.
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Answer:
Mean = 151
MAD = 9.14
Step-by-step explanation:
Given the data:
135, 160, 145, 155, 170, 150, 142
Mean = Σx / n
Mean = 1057 / 7
Mean = 151
Mean absolute DEVIATION (MAD) : Σ(x - μ) / n
[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7
Mean absolute deviation = 9.14
It’s on open dot because it doesn’t include the 4 and it shades all the numbers greater then 4 (so it goes to the right).
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
The 4th option.
The values with no x or y attached are the y intercept
6x - 7y = 21
Subtract 6x from both sides
6x - 7y - 6x = 21 - 6x
-7y = 21 - 6x
Divide both sides by - 7
-7y/-7 = 21/-7 - 6x/-7
Y = -3 +6x/7
The why intercept, -3 is the same as the one in the question
