Answer:
x - 3/4 is a zero
Step-by-step explanation:
f(x) = x+3/4
To find the zeros, set f(x) =0
0 = x+3/4
Solve for x
Subtract 3/4 from each side
0-3/4 = x+3/4-3/4
-3/4 =x
The zero is -3/4
The total time of flight of a projectile motion is calculated through the equation,
t = 2v₀sinФ/g
Substituting the known values,
t = (2)(12 m/s)(sin 90)/9.8 m/s²
t = 2.45 s
Thus, the total flight time of the ball in the atmosphere is 2.45 s.
Find the value of any expressions (within) parentheses first. Then evaluate all powers. Then multiply or (divide) from left to right, and finally add or (subtract) from left to right.
Answer:
75
Step-by-step explanation:
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
