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) =
![=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)](https://tex.z-dn.net/?f=%3DP%28%5Cbar%20F%20S%29%2BP%28%5Cbar%20S%20F%29%5C%5C%5C%5C%3D%5C%7B%5B1-P%28F%29%5DP%28S%29%2B%5B1-P%28S%29%5DP%28F%29%5C%7D---%284%29)
![=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36](https://tex.z-dn.net/?f=%3D%5C%7B%5B1-0.7%5D0.85%2B%5B1-0.85%5D0.7%5C%7D%5C%5C%5C%5C%3D0.255%2B0.105%5C%5C%5C%5C%3D0.36)
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36
Answer:
the interest is 960.
Step-by-step explanation:
the formula: I=prt i=interest p= pricipal [the money you start with]
r= rate t= time
I=? I= 800 (0.02) (10)
P= $800 I= 160+ 800 {because $160 is added}
R= 2% --> 0.02 [as a decimal] I= $960
T= 10 years
Answer:
https://www.calculatorsoup.com/calculators/geometry-plane/polygon.php
that might help
Step-by-step explanation:
Answer: x = -7/3
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/%5Cleft(3x%20%2B%207%5Cright)2%20%3D%20-6x%20-%2014
there are the steps
Answer:
A)30705
Step-by-step explanation:
3* 10^4 + 7 x 10^2 + 5 x 10^0
Evaluate the exponent
3⋅10^4+7⋅10^2+5⋅10^0
3⋅10000+7⋅10^2+5⋅10^0
Multiply the numbers
3⋅10000+7⋅10^2+5⋅10^0
30000+7⋅10^2+5⋅10^0
Evaluate the exponent
30000+7⋅10^2+5⋅10^0
30000+7⋅100+5⋅10^0
Multiply the numbers
30000+7⋅100+5⋅10^0
30000+700+5⋅10^0
Evaluate the exponent
30000+700+5⋅10^0
30000+700+5⋅1
Multiply the numbers
30000+700+5⋅1
30000+700+5
Add the numbers
30000+700+5
30705