Answer:
points (8, 0) and (3, 0)
Step-by-step explanation:
Here we're being asked to find the roots of this quadratic equation.
Set f(x) = 3(x² - 11x + 24 = 0.
This factors into f(x) = 3(x - 8)(x - 3) = 0.
Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3. These correspond to the points (8, 0) and (3, 0).
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar R
5.8 0.42
6.1 0.38
16.02 0.08
15.95 0.15
16.12 0.42
6.18 0.23
5.87 0.36
16.2 0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361
It’s 50/50 hope this helps
The answer is 9.857. This can be rounded.