Hello!
3x + 5 = x - 10
Solve for x by isolating the variable.
Subtract 5 from both sides:
3x + 5 - 5 = x - 10 - 5
3x = x - 15
Subtract x from both sides:
3x - x = x - x - 15
2x = -15
Divide both sides by 2:
2x /2 = -15 / 2
x = -15/2.
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
Actually your answer is wrong. Ava has already use 1 teaspoon of spice plus 1/3 teaspoon plus another 1/2 teaspoon of spice. 1/3 + 1/2 = 5/6 so the answer is 1 5/6 teaspoons of spice.
Answer:
C
Step-by-step explanation:
The question states that Car A after two hours is at 95. We can represent this as (2, 95). We know the slope is 40, which means we can find the y intercept of Car A using point slope form: y = 40(x - 2) + 95. y = 40x + 15. This means that Car B is 5 miles east of car a, as the Y intercept of Car B is 5 greater.
8 over 32 multiplied by 7 over 31 would be your answer for that question. the second part would be 7 over 31 because one of the boxes were already taken leaving us with only 7 not 8.
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