Answer:
0.33
Step-by-step explanation:
because 0.45 plus 0.22 is 0.67 which means the other probability is 0.33.
7 + 2 = 9 and 9/12 + 11/12 = 20/12 = 1 8/12 = 1 2/3
9 + 1 2/3 = 10 2/3
This will involve adding fractions then subtracting. 25% is equivalent to 1/4. So you'll be adding 1/4 + 1/3 + 1/8. To add fractions you'll need to find a common denominator. 3, 4, & 8 area all factors of 24. So convert your original fractions to 1/4= 6/24, 1/3= 8/24, & 1/8= 3/24. Add your numerators 6+ 8+ 3= 17 which you'll put over the denominator of 24= 17/24. the original question asks how many free hours does she have. their are 24 hours in a day so now you'll subtract 17 from 24. 24-17= 7. She has 7 hours free in a day.
Answer:
Approximately 1705 liters of oil leaked out during the first hour.
Step-by-step explanation:
We are given the following in the question:
The rate of oil leak is given by:
This function gives the rate of leakage in liters per minute.
We have to find the amount of water leak during the first hour.
It can be calculated as:
![r(t) = 75 e^{-0.04t}\\\text{Integrating both sides}\\\\\displaystyle\int^{60}_0 = \int^{60}_0 75 e^{-0.04t}dt\\\\=\bigg[\dfrac{75 e^{-0.04t}}{-0.04}\bigg]^{60}_0\\\\=-1875\big[e^{-0.04(60)}-e^{0}\big]\\=-1875(0.0907-1)\\=1704.90\\\approx 1705](https://tex.z-dn.net/?f=r%28t%29%20%3D%2075%20e%5E%7B-0.04t%7D%5C%5C%5Ctext%7BIntegrating%20both%20sides%7D%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B60%7D_0%20%3D%20%5Cint%5E%7B60%7D_0%2075%20e%5E%7B-0.04t%7Ddt%5C%5C%5C%5C%3D%5Cbigg%5B%5Cdfrac%7B75%20e%5E%7B-0.04t%7D%7D%7B-0.04%7D%5Cbigg%5D%5E%7B60%7D_0%5C%5C%5C%5C%3D-1875%5Cbig%5Be%5E%7B-0.04%2860%29%7D-e%5E%7B0%7D%5Cbig%5D%5C%5C%3D-1875%280.0907-1%29%5C%5C%3D1704.90%5C%5C%5Capprox%201705)
Thus, approximately 1705 liters of oil leaked out during the first hour.
