Simplify x^3- + x^2 + y^2
1 answer:
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Answer:
The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean
Explanation:
According to the empirical rule of normal distribution:
1. Approximately 68% of the data falls within 1 standard deviation of the mean
2. Approximately 95% of the data falls within 2 standard deviations of the mean
3. Approximately 99.7% of the data falls within 3 standard deviations of the mean.
Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct
Answer:
Step 1:
To find ordered pair solutions, you could create an x and y graph and fill out the x side. Then, plug in an x number to get your y number and graph the ordered pairs to see if they give you a straight line. I'm going to use these numbers: -1, 0, 1, and 2.
Now, let's plug in -1 into the equation first to see what we get for y.
-5 is our y if x was -1.
We do the same for the other three numbers.
Step 2:
With all that done, we can now fill out our table and graph the points.
If you graph these points on graph paper / a graphing website, you will see that these points go in a straight line. If you are given an ordered pair already (for example: (3,5)), then all you have to do is plug in the x into the equation (3) and see if the outcome is true (5).
Since they don't equal each other, then (3,5) is false.
Here is the graph for the table above. I hope I helped you!
