noahprice0519
19.09.2019 •
Mathematics
The surface areas of two similar solids are 384 yd squared and 1057 yd squared the volume of the larger solid is 1795. what is the volume of the smaller solid?
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Ответ:
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
Ответ:
Check the explanation
Step-by-step explanation:
The given problem can be modeled into a geometric distribution as follows.
Suppose, X be the number of at-bats required to get a home run. As each at-bat is independent.
A.
Required probability is given by
P(X=5)=(1-0.16)^{5-1}0.16=0.07965942
B.
We have to calculate E(X).
Subtracting later from earlier we get,
So, expected number of at-bats until home run = 1/0.16 = 6.25