The number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and a standard deviation of 20 nuts. My can of mixed nuts has only 455 nuts. What is the z-score for this can of nuts?

-2.25

Step-by-step explanation:

We have that the mean (m) is equal to 500, the standard deviation (sd) 20

They ask us for P (x <455)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (455 - 500) / (20)

z = -2.25

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

idk wbu

step-by-step explanation: