Answer:
number 4 is
Step-by-step explanation:
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.
Ok so,
Simplifying
4x + 4y + 4z + 4 = 0
Reorder the terms:
4 + 4x + 4y + 4z = 0
Solving
4 + 4x + 4y + 4z = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + 4x + 4y + -4 + 4z = 0 + -4
Reorder the terms:
4 + -4 + 4x + 4y + 4z = 0 + -4
Combine like terms: 4 + -4 = 0
0 + 4x + 4y + 4z = 0 + -4
4x + 4y + 4z = 0 + -4
Combine like terms: 0 + -4 = -4
4x + 4y + 4z = -4
Add '-4y' to each side of the equation.
4x + 4y + -4y + 4z = -4 + -4y
Combine like terms: 4y + -4y = 0
4x + 0 + 4z = -4 + -4y
4x + 4z = -4 + -4y
Add '-4z' to each side of the equation.
4x + 4z + -4z = -4 + -4y + -4z
Combine like terms: 4z + -4z = 0
4x + 0 = -4 + -4y + -4z
4x = -4 + -4y + -4z
Divide each side by '4'.
x = -1 + -1y + -1z
Simplifying
x = -1 + -1y + -1z
