Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:
The slopes of segment EF and segment DF are given below:
For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
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:
The chances you will get a red marble over a white or blue marble is 30%
Step-by-step explanation:
If you add 5 + 3 + 2 you will get 10
You then turn it into a fraction
3/10 is the chance you will get a red over a blue or white, now we need to convert it into a percentage by turning to 10 into 100 and multiplying 3 x 10
Once you have done that you should have 30/100
Take the 100 away and turn it into a percentage
The answer would be 30%
Y = kx
k = y/x = 15/3 = 5
<span>when y = 4
5 = 4/x
x = 4/5
answer
</span><span>when y = 4 , x = 4/5</span>
100%/x%=12/15
<span>(100/x)*x=(12/15)*x - </span>we multiply both sides of the equation by x
<span>100=0.8*x - </span>we divide both sides of the equation by (0.8) to get x
<span>100/0.8=x </span>
<span>125=x </span>
<span>x=125
so 125%</span>
