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Alex
4 years ago
13

A drawer contains 12 brown socks and 12 black socks, all unmatched. A man takes socks out at random in the dark. 21. Required in

formation The least number of socks that he must take out to be sure that he has at least two black socks is _____.
Mathematics
1 answer:
avanturin [10]4 years ago
6 0

Answer:

6  socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

12/24

and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:

11/23

the final probability is the multiplication of these events:

(12/24) * (11/23)

P = 0.24

Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

So you must take out at least 6 socks for the above to happen.

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cestrela7 [59]
Let 's x the width of the sidewalk.

Area of the swimming pool= 10*16=160 (ft²)
Area of the sideway+the swimming pool= (16+2x)*(10+2x) =160+155

==>160+20x+32x+4x²=160+155
==>4x²+52x-155=0
Δ=52²+4*4*155=5184=72²
==>x=(-52+72)/2=5/2 or x=a negative to exclude.

Width of the sideway=5/2 ft
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3 years ago
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown co
oksian1 [2.3K]

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C. 33%

Step-by-step explanation:

Theres a total of 15 cows

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5 divided by 15=0.334

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3 years ago
How do fraction tiles help me subtract unlike fractions?
Leokris [45]

Answer:

Step-by-step explanation:

They let you see how one fraction compares to another for one.  Say you had 2/5 and 3/7 it may be tricky to tell which is bigger, but having the tiles will let you see that 3/7 is slightly bigger.  And there are many many more complicated  examples.  So if you know which is bigger you will know subtracting the smaller one will keep it positive, while if you subtract the larger from the smaller one it will be negative.

Also, you can then find equivalent tiles.  In the example I gave you would be able to see 2/5 = 14/35 and 3/7 = 15/35.  Which are like fractions you can subtract simply.  

3 0
3 years ago
The table shows the heights of 40 students in a class.
Darya [45]

Answer

A. 129.3

B. The students ages can be any number within the ranges, so having the middle number wont represent the other possible heights.

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'h' is the number between the surrounding number, the first would be 122.

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126x8=1008

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3 years ago
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Answer:

x=1

Step-by-step explanation:

We can solve this equation using a mix of simplifying and using arithmetic on both sides:

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6-4x=-2x+4

2-4x=-2x

2=2x

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3 years ago
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