the distance a plane travels between two cities is 260 miles. The same trip, in miles, traveled by car is approximately 10% grea
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Answer: The correct option is 5.7/20 = x/200
Step-by-step explanation: Please refer to the diagram attached for more details.
From the 7-column by 2-row table drawn, you can determine that the mean number of catfish as given in the question is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (3 + 5 + 7 + 5 + 6 + 8)/6
Mean = 34/6
Mean = 5.6667
Mean ≈ 5.7
Also the mean number of all fish is derived as follows;
Mean = Summation of observed data / Number of observations
Mean = (20 + 20 + 20 + 20 + 20 + 20)/6
Mean = 120/6
Mean = 20
Using relative frequency, we can confidently predict the number of catfish population in the pond. This simply means, if the mean number of catfish is 5.7 and the mean number of all fish is 20, then the relative frequency would be 5.7 over 20 of the total fish population.
Hence, if there is a total of 200 fish in the pond then to predict the proportion which would be catfish can be expressed as follows;
StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction.
OR better expressed as;
5.7/20 = x/200
This is how this one is done. I'm assuming by this type of a problem that you are in logs in math since you need to rules of logs to solve it. First things first...laws of exponents when the bases are like. Our base is a 3. Here's the problem written out: 
. The rules for exponents when dividing like bases is that you subtract the exponents. So we will do that: 
. Since we are solving for x we need to find a way to get it down from its exponential position. We do that by takking the log of both sides. 
. Another rule of logs, the power rule, is that once we take the log of a base with an exponent, we can move the exponent down in front, like this: ![x^2-2x[log(3)]=log27](https://tex.z-dn.net/?f=x%5E2-2x%5Blog%283%29%5D%3Dlog27)
. Now we will divide both sides by log(3) to get
. We do that math on the right side on our calculator to get 
. Now this is something we can handle. We have a second degree polynomial that we have to factor for x. Do that by moving the 3 over by subtraction. 
. Factoring that you have that x = 3 and x = -1. There you go!