What is the mean of the normal distribution shown below?

We have been given a graph of a normal distributed data and we are asked to find the mean from our graph.

Since we know that a normal distribution is a bell shaped curve, perfectly symmetric around its center. The density curve is symmetric about mean. In a normal distribution mean, median and mode are equal.

We can see from our graph that our graph is symmetric about 4. The center of graph is 4, therefore, mean of our data is 4.    

the perimeter is increased by a factor of 2

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: