Answer:
-3.5 < -3
Step-by-step explanation:
-3 is greater than -3.5
From the table, you know that Jupiter is further away from the sun. So if you subtract the distance of the shorter one, which is Mars, from the distance of the longer one, which is Jupiter, you woould get the distance of Jupiter from Mars.
4.84 x 10^8 - 1.42 x 10^8
= (4.84 - 1.42) x 10^8
= 3.42 x 10^8
Therefore the distance is 3.42 x 10^8
Hope this helped, if you don't understand what I was doing in the working, you can just imagine substituting a = 10^8, things will make more sense. As for what I was talking about in the huge paragraph above, if you're confused you can also draw it out.
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
