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Pie
3 years ago
11

A bag has 1 red marble, 4 blue marbles, and 3 green marbles, Peter draws a marble randomly from the bag, replaces it, and then d

raws another marble randomly
What is the probability of drawing 2 blue marbles in a row? Explain your answer
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

1/4

Step-by-step explanation:

There is a total of 1+4+3 marbles = 8 marbles

P( blue ) = blue /total = 4/8 = 1/2

He replaces it

There are still 8 marbles in the bag

P(blue 2nd draw) =  blue /total = 4/8 = 1/2

P(blue,replace, blue) = 1/2*1/2 = 1/4

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M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)
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Answer:

Part 1) MD=9\ units

Part 2) DC=12\ units

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

MD=ME=MF ------> is the radius of a circle inscribed inside the triangle

we have that

MF=9\ units

therefore

ME=9\ units

MD=9\ units

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

MC^{2} =MD^{2}+DC^{2}

we have

MD=9\ units

MC=15\ units

substitute

15^{2} =9^{2}+DC^{2}

DC^{2}=225-81

DC=\sqrt{144}\ units

DC=12\ units

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4 years ago
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