Answer:
4.17% (nearest hundredth)
Step-by-step explanation:
percent change = [ (difference between initial value and final value) ÷ initial value] x 100
⇒ percent change = [ (50 - 48) ÷ 48 ] x 100 = 4.17% (nearest hundredth)
A^2b^2 + 3ab + 3ab + 3^2
= a^2b^2 + 6ab + 9
Answer:
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>
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:
=
9
Step-by-step explanation:
