Answer:
44% is the probability
Step-by-step explanation:
Complete Question
A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?
Answer:
The value required is
Step-by-step explanation:
From the question we are told that
The upper specification is
The lower specification is
The sample mean is
The standard deviation is
Generally the capability index in mathematically represented as
Now what min means is that the value of CPk is the minimum between the value is the bracket
substituting value given in the question
=>
So
Now from the question we are asked to evaluated the value of standard deviation that will produce a capability index of 2
Now let assuming that
So
=>
=>
So
=>
Hence
So
So is the value of standard deviation required
(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
Answer:
20 units²
Step-by-step explanation:
I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids
Answer:
The rate of change is 8
Step-by-step explanation:
put the 16 as the numerator then the 2 hours as the denominator then divide by 2 to get you 8 dollars for 1 hour