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:

or

Step-by-step explanation:
-7,-3,1,5,... is a arithmetic sequence.
Arithmetic sequences have a common difference. That is, it is going up by 4 each time.
When you see arithmetic sequence, you should think linear equation.
The point-slope form of a line is
.
m is the common difference, the slope.
Any they are using the point at x=1 in the point slope form. So they are using (1,-7).
So let's put this into our point-slope form:


Subtract 7 on both sides:

So your answer is

Answer:
17 and 38
Step-by-step explanation:
x + y = 55......x = 55 - y
x * y = 646
y(55 - y) = 646
55y - y^2 = 646
y^2 - 55y + 646 = 0
(y - 17)(y - 38) = 0
y - 17 = 0 y - 38 = 0
y = 17 y = 38
ur numbers are 17 and 38
Answer:
3x + 5
Step-by-step explanation:
Add like terms together:
8x - 2 - 5x + 7
3x - 2 + 7
3x + 5