Answer: (a) 19448 ways
(b) 5292 ways
(c) 0.2721
Step-by-step explanation:
(a) 10 county council members be randomly elected out of the 17 candidates in the following ways:
= 
= 
= 
= 19448 ways
(b) 10 county council members be randomly elected from 17 candidates if 5 must be women and 5 must be men in the following ways:
we know that there are 7 women and 10 men in total, so
=
× 
=
× 
= 21 × 252
= 5292 ways
(c) Now, the probability that 5 are women and 5 are men are selected:
= 
= 
= 0.2721
Answer:

Step-by-step explanation:
To be parallel to the original line, the slope has to be the same
. For the line to go through the point (6,2) the y-intercept has to be 6.
The graph shows the original line (black) and new line that goes through the point (yellow).
Hope it helps!
Answer:
x = 3
Step-by-step explanation:

First begin by adding the like terms on the right side of the equation.
Then, isolate x by subtracting the "2x" on both sides of the equation.