Since this is a combination not a permutation problem, (order does not matter) you should use the "n choose k" formula.
C=n!/(k!(n-k)!) where C is the number of unique combinations, n equals the total number of possible choices and k equals the specific number of choices. In this case:
C=9!/(4!(9-4)!)
C=9!/(4!5!)
C=362880/(24*120)
C=362880/2880
C=126
So there are 126 unique ways to pick 4 people from a group of 9 people.
When using scientific notation, you only want one number to be in front of the decimal place. If you have to make the number smaller, then the 10^nth power will be positive. If you have to make the number bigger, then 10^nth power will be negative. Example:
0.54 --> 5.4 * 10^-1
35 --> 3.5 * 10^1
The value of n depends on how many spaces the decimal point needs to be moved. For your question, putting 23 in scientific notation would look like this:
23 --> 2.3 * 10^1
Answer:
Write a time equation, time = dist/speed
:
go time + return time = total time
d%2F16 + d%2F15 = 7.75 hrs
multiply equation by the least common multiple 240, cncel the denominators:
15d + 16d = 240(7.75)
31d = 1860
d = 1860/31
d = 60 km one way
total dist = 120 km
:
Check this, find the actual time each way
60/16 = 3.75 hrs
60/15 = 4 hrs
-----------------
total time 7.75 hrs
Step-by-step explanation:
Answer:
George by 3/8 of a foot
Step-by-step explanation:
Answer: A = 4400(1 + 0.0825 x 22)
Step-by-step explanation:
A = accumulated amount
P = original amount unloaded- $4400
r = rate - 8.25% = 0.0825
t = years = 22
= 4400(1 + 0.0825 x 22)
