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nevsk [136]
3 years ago
8

100 POINTS!!! Plz Help

Mathematics
2 answers:
masya89 [10]3 years ago
8 0

geometric probability are probability Q related to geometric figures. Example: a game in county fair - u throw a bean bag onto a square board w/ 1 big blue circle n 1 smaller red circle inside the blue circle. u win a small prize if bean bag lands in blue and a big prize if its in red.


assume bean bag always lands on the board, the probablity of winning a small prize=P(bean lands in blue)

=(Area of blue circle - Area of red circle)/Area of square


Murljashka [212]3 years ago
8 0

During a football game, someone drops a ball from a blimp above. it lands within the playing field which is rectangular in shape with 100 yards in middle and 10 yards for end zone at each end.


Prob(ball land in end zone) = length of end zones / total length of field

= (10+10)/(100+10+10)

=20/120

=1/6



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Volgvan

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Linearly Dependent for not all scalars are null.

Step-by-step explanation:

Hi there!

1)When we have vectors like v_{1},v_{2},v_{3}, ... we call them linearly dependent if we have scalars a_{1},a_{2},a_{3},... as scalar coefficients of those vectors, and not all are null and their sum is equal to zero.

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Now let's rewrite it as a system of equations:

a_{1}\begin{bmatrix}1\\ -2\\ 0\end{bmatrix}+a_{2}\begin{bmatrix}-2\\ 4\\ 1\end{bmatrix}+a_{3}\begin{bmatrix}2\\ -4\\ -1\end{bmatrix}+a_{4}\begin{bmatrix}3\\ 3\\ 4\end{bmatrix}=\begin{bmatrix}0\\ 0\\ 0\end{bmatrix}

2.1) Since we want to try whether they are linearly independent, or dependent we'll rewrite as a Linear system so that we can find their scalar coefficients, whether all or not all are null.

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S=\begin{bmatrix}0\\ a_{3}\\ a_{3}\\ 0\end{bmatrix}

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