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
Answer:
Step-by-step explanation:
let the length of shortest side be x
and length of second side be 2x
and third side be x+17
given , perimeter = 173 feet
therefore , x+2x+x+17 =173
4x =173-17
4x =156
x = 156/4
x = 39
therefore ,
length of :
shortest side = 39 feet
second side =78 feet
third side =56 feet
hope it helps.. please mark me as the brainliest...
7
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To make this easier, you need to change the fractions by multiplication.
-3/4x=15 - First, you multiply 4 to both sides of the equation
(4)-3/4x=15(4)
-12/4x=60 - Simplify
-3x=60 - Divide by -3 on both sides
x=-20 -> (-20,0)
Do the same to find the y-intercept, to get (0,18)
Answer:
y=1, x=-1
Step-by-step explanation:
I used substitution **I'm not sure this is right but this is what I got!!!***
