Problem 8-32 You are conducting a reliability analysis for a new product. Based on prior testing with a similar product, you bel
ieve the Weibull failure-time distribution, with parameter lambda=.200 per year, applies. But you have no basis for establishing beta. Compute at a time span of 5 years (1) the failure rate and (2) the survival probability assuming that
(a) beta=0.1
failure rate=
survival probability=
(b) beta=1
failure rate=
survival probability=
(c) beta=1.9
failure rate=
survival probability=
(d) beta=2.2
failure rate=
survival probability=
(a) beta=0.1
failure rate=
survival probability=
(b) beta=1
failure rate=
survival probability=
(c) beta=1.9
failure rate=
survival probability=
(d) beta=2.2
failure rate=
survival probability=
1 answer:
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Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
Answer:
The approximate number of years until the species is extinct will be 9 years
Step-by-step explanation:
We are given
The population of a species is modeled by the equation
where
t is the number of years
we have to find time when species extinct
we know that any species will be extinct only if population of that species becomes 0
so, we can set P(t)=0
and then we can solve for t
we can factor it
we get t value as imaginary for this equation
So,
the approximate number of years until the species is extinct will be 9 years