<h3>
Answer: 6 dollars per kilogram</h3>
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Explanation:
The mixed number 4 & 1/2 converts to the decimal form 4.5
The unit price is 27/(4.5) = 6 dollars per kilogram
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If you wanted, you can think of it like this ratio
4.5 kg : 27 dollars
Dividing both parts of that ratio by 4.5 will lead to
1 kg : 6 dollars
Answer:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Step-by-step explanation:
We know that the dive results in 40 gold coins.
We know that:
Alice: $7,600 Ben: $5,900 Carlos: $1,400.
So they have $ 14900 in total.
Now we will divide that money by 40.

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

We conclude that:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Answer:
3:10
Step-by-step explanation:
Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145