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lyudmila [28]
3 years ago
7

A bag contains 9 blue marbles and 3 red marbles. two marbles are drawn at random and at the same time. what is the probability o

f getting two blue marbles
Mathematics
2 answers:
Strike441 [17]3 years ago
7 0
The answer is 9/12 or if simplified, it's 3/4
mr Goodwill [35]3 years ago
3 0

The total number of marbles in the bag are 12 (9 blue marbles and 3 red marbles).

Let "A" be the event that both the drawn marbles are blue.

Therefore, if two marbles are drawn at random and at the same time, then the probability of getting two blue marbles can be calculated as:

P(A)=\frac{9}{12}=\frac{3}{4}

This can also be expressed in terms of percentage as:

P(A)=\frac{3}{4}\times 100=75%

Thus, the required probability is either: \frac{3}{4} or 75%


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The standard equation of a hyperbola is given by:

\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1

where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²

Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)

The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61

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b² = 37

b = √37

Hence the equation of the hyperbola is:

\frac{x^2}{61}-\frac{y^2}{37}  =1

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