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arsen [322]
3 years ago
10

A bag contains 10 green marbles and 4 yellow marbles. If two marbles are chosen at random, one at a time and without replacement

, what is the probability of getting two green marbles?
Mathematics
2 answers:
balu736 [363]3 years ago
8 0
Total marbles = 10+4 = 14
prob of green marble = 10/14 = .71
Then if you are getting 2 green marbles you have to first take out 1 green marble so now there are 9 green marbles and 13 total green marbles
prob of 2nd green marble = 9/13 = .69

So you would then multiply the probabilities of the individual events to get the total probability:
.71 * .69 = .4899 therefore(with rounding):

The probability of getting two green marbles is 49%
Anni [7]3 years ago
4 0

Answer:There is high probability that getting two green marbles.


Step-by-step explanation:


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Which is the value of the rational expression 6-x/x+5 when x=2
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I need help with this question!
34kurt
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.


1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
8 0
4 years ago
Find the domain of the function. (enter your answer using interval notation.) f(x) = 3x3 − 1 x2 + 2x − 15
Neporo4naja [7]

Hello!

A cubic function is in the form of f(x)=ax^{3}+bx^{2}+cx+d.

All cubic functions have a domain of all real numbers, the range also has a range of all real numbers.

Interval notation is used for representing a function/interval as a pair of numbers. Parentheses and brackets are used to show if the endpoints of a given function/interval are included or excluded. Brackets allow the endpoints to be included while parentheses exclude the endpoint.

Our first instinct would be that the domain is written as [-∞, ∞], but that is incorrect. Infinity is not a number, but it is a concept. This means that they are excluded from the domain.

Therefore, the domain of the function f(x) is (-∞, ∞).

6 0
3 years ago
Show that: (3x-1)(x+5)(4x-3) = 12x^3 + 47x^2 - 62x +15 for all values of x. (3x-1)(x+5)(4x-3) = (?????)(4x-3) Expand into 6 term
lara31 [8.8K]
<span>(3x - 1)( x + 5)(4x - 3) = 12x^3 + 47x^2 - 62x +15 </span>
<span>(3x^2 – x + 15x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>(3x^2 + 14x - 5)( 4x – 3 ) = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 9x^2 + 56x^2 – 42x – 20x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>
<span>12x^3 – 47x^2 - 62x + 15 = <span>12x^3 + 47x^2 - 62x +15 </span></span>

<span> </span>

8 0
3 years ago
Read 2 more answers
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