Answer:
28, 56
56
Step-by-step explanation:
a
To solve this, we use the combination rule.
nCk = n!/k!(n-k)! where
n is the number of options (8) k is the number of slots (2).
Assuming the order doesn't matter, then
8C2 = 8! / 2!(8-2)!
8C2 = 8! / 2! 6!
8C2 = 40320 / 2 * 720
8C2 = 40320 / 1440
8C2 = 28
If the order does matter, then we use permutation instead.
nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!
8P2 = 40320 / 720
8P2 = 56
b
We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56
In fact, none of the above. It is 2(60h+m).
Answer:
1 g = .001 kg
4 kg = 4000 g
Step-by-step explanation:
1 kg = 1000 g
0.1 kg = 100 g
.01 kg = 10 g
.001 kg = 1 g
4 kg = 4000 g
Answer:
The point slope equation is: y - y1 = m (x - x1)
m = slope
Step-by-step explanation:
To use this equation, you need to know:
-<u> </u><u>one point on the line</u>
-<u> the slope of the line</u>
<u>First</u>:
(x1,y1) = a known point on the line
m = the slope
(x,y) = any other point on the line
<u>Now</u>:
we plug the numbers into the equation to get y - y1 = m (x - x1)
<u>Then</u>:
you solve the equation
The point is on the y- axis it will be a postive number if it is going up if it is going down it will be negative.
