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Irina18 [472]
4 years ago
8

You draw a card at random from a deck that contains 3 black cards and 7 red cards. What is the probability of drawing a black ca

rd
Mathematics
1 answer:
g100num [7]4 years ago
7 0

Answer:

Probability of drawing a black card =  \frac{3}{10} or 0.3 .

Step-by-step explanation:

Given : You draw a card at random from a deck that contains 3 black cards and 7 red cards.

To find : What is the probability of drawing a black card.

Solution : We have given that

Deck that contains  black cards  = 3.

Red cards = 7.

Total card = 10.

Probability of drawing a black card = \frac{3}{10}.

Probability of drawing a black card = 0.3.

Therefore,  Probability of drawing a black card =  \frac{3}{10} or 0.3 .

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X(2x-5) = 12<br><br> How to solve for x?
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Answer:

x=4,\:x=-\frac{3}{2}

Step-by-step explanation:

x\left(2x-5\right)

Apply the distributive law.

=x\cdot \:2x-x\cdot \:5
=2x^2-5x
2x^2-5x=12
Subtract 12 from both sides.
2x^2-5x-12=12-12
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Now, apply the quadratic formula.
x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}
x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}
Separate the solutions.
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2 years ago
Write the inequality based off the description
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3 years ago
Which of the following statements must be true
Mumz [18]

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

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3 years ago
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