Answer:
Step-by-step explanation:2 one
Answer:
The first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
![P_{(n,x)} = \frac{n!}{(n-x)!}](https://tex.z-dn.net/?f=P_%7B%28n%2Cx%29%7D%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n-x%29%21%7D)
In this question:
4 guests from a set of 15. So
![P_{(15,4)} = \frac{15!}{(15-4)!} = 32760](https://tex.z-dn.net/?f=P_%7B%2815%2C4%29%7D%20%3D%20%5Cfrac%7B15%21%7D%7B%2815-4%29%21%7D%20%3D%2032760)
The first 4 guests can arrive in 32,760 ways.
Answer:72 ounces
Step-by-step explanation:
The correct answer is 72 ounces. In order to reach this answer you need to multiply 80 times .9, which equals 72.
Answer:
54 ~ see below for explanation
Step-by-step explanation:
you're going to replace n with the 6 since n= 6
so (8+3)6
then you're going to add 8+3 in the parenthesis because of PEMDAS
(9)6
you're going to multiply 6 by 9 since 9 is in parenthesis (a number in parenthesis means multiply)
then you get 54 so the answer would be 54.
Answer:
12/5 gallons/minute, or 2 2/5 gallons/minute
Step-by-step explanation:
Find the unit rate with time as the independent variable:
2 gallons
---------------- = 12 gallons / 5 minutes = 12/5 gallons/minute
5/6 minute