Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 oz. and the average range is 0.4 oz., what is the lower control limit for an x-bar chart for this process? a. 13.7084 oz.

b. 13.8768 oz.

c. 14.2916 oz.

d. 12.8000 oz.

e. 13.5908 oz.

a. 13.7084 oz.

Step-by-step explanation:

Formula for Lower Control Limit =

(LCL = x-bar - A²R-bar)

x - bar = 14 oz

A2 = 0.729

R - bar = 0.4 oz

= 14 - 0.729 × 0.4

= 14 - 0.2916

= 13.7084oz

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct