Answer:
8
Step-by-step explanation:
Add all the numbers and then divide them by how many numbers there are.
(14 + 2 + 12 + 11 + 2 + 14 + 3 + 2 + 12) = 72
72/9 = 8
There are
ways to select 3 from 9.
There are
ways to select 3 men from 5 men and
ways to select 3 women from 4 women.
If all three selected are men, then no woman was selected, and we have
ways we can do that.
1)
![P(All -3 -are -men)=[tex]\frac{5C_3 \times 4C_0}{9C_3}=\frac{5}{42}](https://tex.z-dn.net/?f=P%28All%20-3%20-are%20-men%29%3D%5Btex%5D%5Cfrac%7B5C_3%20%5Ctimes%204C_0%7D%7B9C_3%7D%3D%5Cfrac%7B5%7D%7B42%7D)
2) If all 3 are women then no man was selected, and we have
ways we can do that.

3) If 2 men and 1 woman were selected, the we have
ways we can do that.

4) If 2 women and 1 man is selected, then we have 

Answer:
see below
Step-by-step explanation:
The angle where chords cross is the average of the intercepted arcs. Here, that is ...
(37° +46°)/2 = (83°)/2 = 41.5°
Angle SUT is 41.5°.
_____
<em>Comment on the error</em>
The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.
Answer:
Perpendicular
Step-by-step explanation:
The lines below are perpendicular because they intersect at a 90 degree angle. Hope this helps.