Answer:
Average range(R-bar) = Sum of the sample range for each sample/number of samples = (9+8+1+8+7) /5 = 33/5 = 6.6
Sample size = 8
For a sample size of 8 the factors for control limit for range (D3) = 0.136 (obtained from table of constraints for x-bar and R chart
LCL = R-bar × D3 = 6.6 × 0.136 = 0.90
Step-by-step explanation:
Answer:
The difference between 19 and 8 is 11.
Step-by-step explanation:
Given:
The difference between a number and 8 is 11
Find the number.
Solution:
Let the unknown number be 
The difference between the unknown number can be written as:

We are given that the difference =11
So we can write the equation to find
as :

Using additive property to solve for 
Adding 8 to both sides to isolate
on one side.

∴ 
∴ The unknown number = 19
Answer:
62.8
Step-by-step explanation:
The formula for circumference is 2(pi)r
Let's plug in the values.
Well, we know the diameter, and since the radius is 1/2 the diameter, but then you multiply by 2 again, you don't have to change anything. Therefore, another formula is (pi)<em>d</em>
3.14 x 20
= 62.8 is your answer. And the answer is already rounded to the nearest tenth, so nothing is left to do!
<em>Hope this helps!</em>
The surface (call it
) is a triangle with vertices at the points



Parameterize
by

with
and
. Take the normal vector to
to be

Then the flux of
across
is



Answer:
Step-by-step explanation:
b