4x + 2x + 2
= 6x + 2
So the answer is B
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
The first thing we must keep in mind is that there are 2 bags left over.
Therefore, Luis distributed:
534-2 = 532
The number of bags will be:
N = (total amount distributed) / (amount distributed per store)
Substituting we have:
N = (532) / (28)
N = 19
Answer:
Luis distributed milk for 19 stores.
Something you should know. A ratio is comparing two numbers. Anyway, the ratio is 12:8, remember to put it the order as it is listed. I hope this helps.
Answer:
3π
Step-by-step explanation:
Arc length is given in terms of central angle θ in radians as ...
s = rθ
For r = 27 and θ = (20/180)π, the arc length is ...
s = (27)(20/180)π = 3π
The arc length is 3π units.
