Answer:
The total volume of the water in the tank after 20 minutes = 1220 gallons
Step-by-step explanation:
Rate of water pumped into the tank r (t) = 30 (1 - 
)
Initial volume of water in the tank = 800 gallons
The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank
= 
Where a = 0 , b = 20
Put the value of r (t) in above equation we get
= 
= ![30 [ t + \frac{e^{-0.16t} }{0.16} ]](https://tex.z-dn.net/?f=30%20%5B%20t%20%2B%20%5Cfrac%7Be%5E%7B-0.16t%7D%20%7D%7B0.16%7D%20%5D)
= 
= 420 gallon
Now, total volume in the tank
Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons
Answer:
11.1
Step-by-step explanation:
Answer: 25
Step-by-step explanation: -5 x 25 + 13 = -112
Total number of students who did a test was 24
Number of students who scored an A is 14
Number of students who scored a B is 10
Probability that when we randomly select a student, he/she will have an A is:
(Number of students that scored A)/(Total number of students)
=14/24
=7/12
Therefore our answer is 7/12
Answer:
The students can group themselves in 360360 ways
Step-by-step explanation:
For this exercise we need to use the following equation:
This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell
In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:
Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.
Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.
