Answer:
X=3.33
Step-by-step explanation:
5(-3x+1)=-45
-15x+5=-45
-15x=-45-5
-15x=-50
x=3.33
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
Answer:
26
Step-by-step explanation:
19 + 7 = 26
Answer:
35 Students
Step-by-step explanation:
So if 40% of the students like Baseball and that there are 14 students in the class room.
Another way to interpret this is that you can divide 14 by 40% to find the total amount.
This gets you: 14 divided by 0.40 = 35 Students
