Suppose s and h are the mileage numbers for the SUV and Hybrid, respectively. Then if each vehicle drives 1 mile, the total gas consumption is
.. 1/s +1/h
Then the combined mileage is
.. 2/(1/s +1/h) = 2sh/(s+h)
Option 1: s=12, h=60
.. mpg = 2*12*60/(12+60) = 20
Option 2: s=11, h=75
.. mpg = 2*11*75/(11 +75) = 1650/86 ≈ 19.2
In summary,
.. Option 1: 20.0 mpg
.. Option 2: 19.2 mpg
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It usually works out best to increase the efficiency of the least-efficient contributor, as here.
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
it the temperature is -2 and rises by 15 you do -2+ 15 to get 13
T >= 150
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He will need 2 pencils to fill 20 desks. Here's how I found the answer:
20÷10=2
2×10=20. So the answer is 2.