What is AE? Enter your answer in the box.

wo segments A D and B C intersect at point E to form two triangles A B E and D C E. Side A B is parallel to side D C. A E is labeled 2 x plus 6. E D is labeled x plus 6. A B is 10 units long. D C is 8 units long.

And using the complement rule and a calculator, excel or the normal standard table we have that:

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

Where and

Since the distribution for X is normal then the distribution for the sample mean is given by:

We want to find this probability:

And we can use the z score given by:

And replacing we got

We can find the individual probabilities like this:

And using the complement rule and a calculator, excel or the normal standard table we have that: