For 
, we have
and so
which is, again, only valid for.
and so
which is, again, only valid for
Let f (x) = -3x + 4. Describe the transformations from the graph of f to the graphs of g(x) = f (x) + 3 and h(x) = f (x - 2).
1 answer:
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Answer:
λN N(0) = 6
N(t) = N₀e^(λt)
Applying the inital value condition
N(t) = 6e^(λt)
Step-by-step explanation:
Summarizing the information briefly and stating the variables in the problem.
t = time elapsed during the decay
N(t) = the amount of the radioactive substance remaining after time t
λ= The constant of proportionality is called the decay constant or decay rate
Given the initial conditions
N(0) = N₀ = 6
The rate at which a quantity of a radioactive substance decays () is proportional to the quantity of the substance (N) and λ is the constant of proportionality is called the decay constant or decay rate :
λN
N(t) = N₀e^(λt) ......equ 1
substituting the value of N₀ = 6 into equation 1
N(t) = 6e^(λt)
Answer:
- 0.80
- 0.289
- 0.20
- 0.711
Step-by-step explanation:
Given:
The rule of total probability states that:
Compute the individual probabilities as follows:
Conditional probability of an event A given B is:
- Compute the value of
:
- Compute the value of
- Compute the value of
- Compute the value of