What is 9/20 - 1/4 in the simplest from
2 answers:
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Answer:
There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.
Step-by-step explanation:
First, we need to calculate the volume of each balloon by considering the balloons as a sphere:
Where:
r: is the radius = 0.4 meters
Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:
Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.
I hope it helps you!
The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
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