Answer:
1/2!(12, 2)(10, 5)
Step-by-step explanation:
Let's pick 2 persons for team one. We can do that in (12, 2) ways. Then, let's pick five of the remaining people for team two. We can do that im (10, 5) ways. Five remaining people form team three., because the order of teams foes not matter divide the team by 2! (we have 2 teams with five people). Thus the final answer is 1/2!(12, 2)(10, 5)
Answer:
∠MON = 57°
Step-by-step explanation:
∠LOM + ∠MON = ∠LON ← substitute values
3x + 20 + 2x + 33 = 113, that is
5x + 53 = 113 ( subtract 53 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Hence
∠MON = 2x + 33 = (2 × 12) + 33 = 24 + 33 = 57°
Answer:
66.2
Step-by-step explanation:
We know that the middle 68% of the distribution is between -1 and +1 standard deviations from the mean. -1 standard deviation is a score of ...
69.9 - 3.7 = 66.2
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<em>Comment on the question</em>
The way the question is worded, "A" can be any value less than 68.1, down to -∞. The question does does not require the A-B range to be symmetrical.
If we divide 360 by the number of sides, 16, we will get the measure of one of the 16 central angles. 360/16 = 22.5. The vertex angle of one of the triangles that makes up this 16-gon is 22.5. That means that each of the base angles measure 78.75. If we put 2 of these triangles next to each other, 2 sides touching, the bases of both those triangles meet to form an interior angle. Two base angles of 78.75 together form the interior angle: 78.75+78.75 = 157.5. An interior angle measures 157.5. The exterior angle then has to measure 180-157.5 which is 22.5, same as the vertex angle of 1 of the triangles that make up this 16-gon.