The three sigma limits for a process whose distribution conforms to the normal distribution include approximately percent of the observed values in the long run.

99.7%

Step-by-step explanation:

Refer to the attached image showing the empirical method:

The red section shows all the data within one standard deviation of the mean. According to the empirical rule, this is 68 % of the data.

The yellow section shows all the data within two standard deviations of the mean, which is 95 % of the data.

The blue section shows all the data within three standard deviations of the mean, which is 99.7 % of the data.

Thus, the data within three sigma limits, is 99.7%, of the observed values.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.