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Galina-37 [17]
3 years ago
10

A certain bag of gemstones is composed of two-thirds diamonds and one-third rubies. If the probability of randomly selecting two

diamonds from the bag, without replacement, is 5/12, what is the probability of selecting two rubies from the bag, without replacement?
Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

Ans = 1/12

Step-by-step explanation:

Diamonds = 2/3 of gemstones

Ruby = 1/3 of gemstones

Diamond = 2x

Rubyb= x

Probability of picking two diamonds = 5/12

(2x / 3x )* (2x-1)/ (3x -1) = 5/12

(4x^2 -2x) / (9x^2 -3x ) = 5/12

12(4x^2 - 2x ) = 5(9x^2 - 3x)

48x^2 - 24x = 45x^2 - 15x

48x^2 - 45x^2 - 24x + 15x = 0

3x^2 - 9x = 0

3x(x - 3) = 0

3x = 0 or (x - 3) = 0

x = 0 or x = 3

Diamond = 2x = 2(3) = 6

Ruby = x = 3

Total number of gemstones = 6+3 = 9

probability of getting 2 rubies =3/9 * 2/8

= 6/72

= 1/12

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(X2y3)1/2(x2y3)1/3=xa/3ya/2 where a is constant, is true for all positive values of c and y, what is value of a?
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3 years ago
Select the correct answer. Which expression represents the series ? 1+5+25+125+625? creating and solving formulas for geometric
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Answer:

The given series can be written as

4

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3 years ago
At the craft store, Tara bought 12 yards of fabric to make tote bags. Each bag requires 1.25 yards of fabric. If Tara makes 5 to
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5.75 yds left

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5 0
2 years ago
Please help me with the below question.
tresset_1 [31]

We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:

  1. \lim_{t \to 14.75^{-}} f(t) = 66.
  2. \lim_{t \to 14.75^{+}} f(t) = 10.
  3. \lim_{t \to 14.75} f(t) does not exist as \lim_{t \to 14.75^{-}} f(t) \ne  \lim_{t \to 14.75^{+}} f(t).

<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.  

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

  1. \lim_{t \to 14.75^{-}} f(t) = 66.
  2. \lim_{t \to 14.75^{+}} f(t) = 10.
  3. \lim_{t \to 14.75} f(t) does not exist as \lim_{t \to 14.75^{-}} f(t) \ne  \lim_{t \to 14.75^{+}} f(t).

To learn more on piecewise function: brainly.com/question/12561612

#SPJ1

8 0
2 years ago
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