Answer:
9.562
Step-by-step explanation:
Use the Heron’s Formula to find the area of a triangle when all three sides are known (SSS). In the formulas below, S represents the semi-perimeter of the triangle, and ABC are the three given sides.
You must first know the semi-perimeter (S) before you are able to calculate the area.
S= 1/2 (A+B+C)
Area = √S(S-A)(S-B)(S-C)
In your case:
<u>semi perimeter </u>
= 1/2 (9+4+6)
= 19/2
= 9.5
<u>Area </u>
= √9.5(9.5−9)(9.5−4)(9.5−6)
= √91.4375
= 9.562
Answer:
a)
USL = 6.2 inches
LSL = 5.8 inches
b) Cp = 1.33
Cpk = 0.67
c)
Yes it meets all specifications
Step-by-step explanation:
The specification for a plastic handle calls for a length of 6.0 inches ± .2 inches. The standard deviation of the process is estimated to be 0.05 inches. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.1 inches. What is the Cp and Cpk for this process? Is this process capable of producing the desired part?
Given that:
Mean (μ) = 6.1 inches, Standard deviation (σ) = 0.05 inches and the length of the plastic handle is 6.0 inches ± .2
a) Since the length of the plastic handle is 6.0 inches ± .2 = (6 - 0.2, 6 + 0.2)
The Upper specification limits (USL) = 6 inches + 0.2 inches = 6.2 inches
The lower specification limits (LSL) = 6 inches - 0.2 inches = 5.8 inches
b) The Cp is given by the formula:

The Cpk is given by the formula:
c)
The upper specification limit lies about 3 standard deviations from the centerline, and the lower specification limit is further away, so practically all units will meet specifications

Answer:
The correct option is A.
Step-by-step explanation:
The difference between actual value and predicted value is called residual.
Formula of residual is

Where, y is observed value or actual value and
is predicted value.


The value of residual is 1.4 and option A is correct.
9514 1404 393
Answer:
1/9
Step-by-step explanation:
The ratio of areas is the square of the scale factor for linear dimensions.
Area(y)/Area(x) = (1/3)^2 = 1/9
Answer:
1
Step-by-step explanation:
1x1=1