. Ketchup An automatic filling machine in a factory fills bottles of ketchup with a mean of 16.1 oz and a standard deviation of 0.05 oz with a distribution that can be well modeled by a Normal model. What is the probability that your bottle of ketchup contains less than 16 oz

0.9772

Step-by-step explanation:

The machine in the factory fills bottles of ketchup with a mean of 16.1 oz and a standard deviation of 0.05 oz.

We want to find the probability that a bottle of ketchup contains less than 16 oz.

We find the z-score of x=16.1 using

We substitute to get;

We read read the area corresponding to 2.0 on the standard normal distribution table to get:

P(X≤16.1)=0.9772

-232

step-by-step explanation:

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