The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring t
1 answer:
Answer:
Step-by-step explanation:
Given that the Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point.
Let X be the hardness
X is N(68,3)
This area lies on both sides of the mean. Hence we add the corresponding prob values form table
= 0.1293+0.4901=0.6194
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Answer
(a)
(b)
Step-by-step explanation:
(a) δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=>
where d(t) = δ(t)
=>
Integrating, we have:
=>
Inputting the boundary conditions t = a = ∞, t = 0:
(b)
The Laplace transform of function f(t) is given as:
Integrating, we have:
Inputting the boundary condition, t = a = ∞, t = 0:
It will be easier to understand this using a venn diagram :
