Answer:
Step-by-step explanation:
a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S
Write the probability of energy supplied by these energy sources in the next 10 years
P(energy supplied) = P(S ∪ F) -----(1)
Rewrite eqn (1)
P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)
substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources
P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)
= 0.85 + 0.7 - (0.595)
= 1.55 - 0.595
= 0.955
Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955
B) write the probability of only one source of energy available
P(only one source of energy available) = ∪ ---(3)
Rewrite the equation (3)
P(only one source of energy available) =
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36
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Answer:
1/7
Step-by-step explanation:
The probability that the Captain hits is \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
The probability that the pirate hits is \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction.
1/2 x 2/7 = 1/7
We can use the fact that, for ,
Notice that
so that
By the ratio test, this series converges if
so the series has radius of convergence .
The given formula is f(t) = 0.4t
They want to solve for f(10), replace t in the formula with 10"
f(10) = 0.4(10)
Multiply:
f(10) = 4 centimeters.