Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!
ANSWER
![P( \bar E) =\frac{14}{15}](https://tex.z-dn.net/?f=P%28%20%5Cbar%20E%29%20%3D%5Cfrac%7B14%7D%7B15%7D%20)
EXPLANATION
The sample space is S={1,23,4,5,...60}
n(S)=60
The multiples of 13 are:
E={13,26,39,52}
n(E)=4
Probability of choosing a picture that is a multiple of 13 is
![P(E)= \frac{n(E)}{n(S)}](https://tex.z-dn.net/?f=P%28E%29%3D%20%5Cfrac%7Bn%28E%29%7D%7Bn%28S%29%7D%20)
![P(E)= \frac{4}{60}](https://tex.z-dn.net/?f=P%28E%29%3D%20%5Cfrac%7B4%7D%7B60%7D%20)
Probability of choosing a picture that is NOT a multiple of 13 is
![P( \bar E)= 1 - \frac{4}{60} = \frac{56}{60} = \frac{14}{15}](https://tex.z-dn.net/?f=P%28%20%5Cbar%20E%29%3D%201%20-%20%5Cfrac%7B4%7D%7B60%7D%20%20%3D%20%20%5Cfrac%7B56%7D%7B60%7D%20%20%3D%20%20%5Cfrac%7B14%7D%7B15%7D%20)
4 quarts in each gallon, so 8 quarts. There are 16 cups in each gallon, so 32 cups.
Answer:
0.875
Step-by-step explanation:
3.5 liters for every 4 days
3.5/4 liters per day
0.875 liters per day