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
8 is a whole number, so this will be the whole number part of our mixed number.
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.

Simplify by dividing 25 to the numerator and denominator.


So our fraction is

0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.

Simplify by dividing 5 to the numerator and denominator.


So our fraction is


To convert this to a decimal, just divide 5 / 8
Cylinder is 10 meters wide, so its diameter is 10 meters. You get radius of it by dividing 10 by 2, which equals 5.
As you count volume of cylinder from that equation
You get an equation to count height:
h≈3.82 meters
They share a horizontal asymptote at y=-.5
Answer is B
Given : Diameter of the right circular cone ==> 8 cm
It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)
Given : Volume of the right circular cone ==> 48π cm³
We know that :

where : r is the radius of the circular cross-section.
h is the height of the right circular cone.
Substituting the respective values in the formula, we get :




<u>Answer</u> : Height of the given right circular cone is 9 cm