9514 1404 393
Answer:
1816.7 in³ ≈ 29,769.6 cm³
Step-by-step explanation:
The surface area of a sphere is given by the formula ...
A = 4πr²
Then the radius is ...
r = √(A/4π) = (1/2)√(A/π)
The volume of a sphere is given by the formula ...
V = 4/3πr³
Using the above value of r, we find the volume to be ...
V = (4/3)π(1/2)³(A/π)^(3/2) = 1/6√(A³/π) ≈ 1816.7 in³
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The answer is requested in cm³. The conversion factor is (2.54 cm/(1 in))³, so this volume is ...
(1816.7 in³)·(2.54 cm/(1 in))³ = 29,769.6 cm³
_____
<em>Additional comment</em>
We suspect an error in the problem statement, as the given units are square inches and the requested volume is in cubic centimeters. Usually, there would be an explicit statement regarding the necessity for units conversion.
Answer:
-$2.63
Step-by-step explanation:
Calculation for the expected profit for one spin of the roulette wheel with this bet
Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.
Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.
Now let find the Expected profit using this formula
Expected profit = sum(probability*value) -sum(probability*value)
Let plug in the formula
Expected profit =($1,750 * 1/38) - ($50 * 37/38)
Expected profit=($1,750*0.026315)-($50×0.973684)
Expected profit= 46.05 - 48.68
Expected profit = - $2.63
Therefore the expected profit for one spin of the roulette wheel with this bet will be -$2.63
The equation of this parabola will have the form f(x) = a(x+5)(x-4), which works out to f(x) = a(x^2 + x - 20). Since the parabola passes thru (3,40),
40 = a(3^2 + 3 - 20), or 40 = a(-8), so a = -5.
Thus, the equation of this parabola is y = -5(x^2 + x - 20).
Answer:46293
Step-by-step explanation:
Step-by-step explanation:
36400 sec = 0.421 day
I think this should be the answer
