Find the area of the shaded region. the graph depicts the standard normal distribution with mean 0 and standard deviation 1
z=0.65

The area of the shaded region as depicted by the graph is 0.7422

The formula for calculating the z-score is expressed as:

Given the following

The z-score of the distribution from the distribution table for z = 0.65 is 0.7422

Substituting the given values into the formula:

Hence the area of the shaded region as depicted by the graph is 0.7422

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0.74215

Step-by-step explanation:

Given: Mean= 0

          Standard deviation= 1

          Z= 0.65

First lets find the z score of 0.65 from the normal distribution table.

∴ The value from the table is

Now using the formula for z-score to find x, which is the shaded region.

Z-score=

⇒

Multiplying both side by 1

∴

Hence, the area of shaded region is 0.74215.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.