The UCL and LCL for an x-bar chart are 25 and 15 respectively and the centerline is 20. The process range is considered to be in statistical control. The results of the next seven sample means are 21, 23, 22, 21, 24, 23, and 16. What should you do

nothing

Step-by-step explanation:

you do not have to do anything given these seven sample means. This is because the sample means are all within the upper and the lower control limits. the plots are randomized and they do not form any patterns. This process is still in control so you do not really have to do anything. This answers the question.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4