Answer:
Cpk = Cpu = Cpl = 0.4785
Step-by-step explanation:
Solution:-
- The capability of a process is determined using the capability index ( Cpk ). The index helps in determining the output of the process lies within the specification limits.
- The key dimension on a product measure is:
105 ± 12 units
- Process is producing this product at a 6-sigma quality standards i.e ( process is producing this product has a standard deviation (σ) of three units.)
Where, Standard Error in measured value = 12 units.
- The process capability (Cpu) is defined based on the Upper Specification Limit of the process (USL):
Cpu = (USL - u) / 3σ
- The process capability (Cpl) is defined based on the Lower Specification Limit of the process (LSL):
Cpl = ( u - LSL) / 3σ
- Assume that the process is centered with respect to specifications, then the given absolute value of u = 105 units.
Where the specification limits are defined as:
LSL = u - SE = 105 - 12
LSL = 93 units
USL = u + SE = 105 + 12
USL = 117 units
- Now evaluate the Process capability on each of the two limits specification limits:
Cpu = (USL - u) / 3σ
Cpu = (117 - 105) / 3σ
Cpu = 4 / σ
Cpl = ( u - LSL) / 3σ
Cpl = ( 105 - 99 ) / 3σ
Cpl = 4 / σ
- The minimum of Cpu and Cpl is denoted as the Cpk value:
Cpk = min ( Cpu , Cpl )
Cpk = Cpu = Cpl = 4 / 8.36
Cpk = Cpu = Cpl = 4 / 8.36 = 0.4785
7, is the part of the solution set because of the number it has inside of it. 8 years old worth of
Answer:
(a) 412 +A -B
(b) 412 +A -B + (A-20) -(B+14)
(c) 378 +2A -2B
Step-by-step explanation:
Water flowing in adds to the amount in the reservoir. Water flowing out subtracts from the amount in the reservoir.
__
(a) 412 + A - B . . . . at the end of January
__
(b) Flowing in was (A -20), flowing out was (B +14). In February, we start with the amount at the end of January.
(412 +A -B) +(A-20) -(B +14)
__
(c) Simplifying the above, we have ...
412 -20 -14 +2A -2B = 378 +2A -2B
13 *72.10 = 937.30 rupees
Answer:
$2184
Step-by-step explanation:
The total number of "ratio units" in the ratio fiction : non-fiction is 3+5 = 8. The total number of fiction + non-fiction books is 832, so each ratio units must stand for 832/8 = 104 books.
Then the 3 ratio units of fiction books stand for 3×104 = 312 books. The total spent on fiction books is that number times the average price:
312 × $7 = $2184 . . . . total spent on fiction books
