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LenaWriter [7]
3 years ago
12

A coin is flipped twice. What is the probability that it will come up once heads and once tails

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

1/2 or 50%, because there are two possibilities out of four.

If you think about flipping a coin twice, there are exactly four possible outcomes:

  Flip 1          Flip 2

1. tails            heads

2. tails            tails

3. heads        tails

4. heads        heads

In two of these possibilities (1 and 3) the coin flipped different sides.

That means 2/4 possibilities matched, and this can be reduced to 1/2

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irina1246 [14]
So the pattern is x,y so the left is x and the right is y. Just graph it
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3 years ago
Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +
CaHeK987 [17]
First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0. 

Once you have an x value which makes y=0, you can start factorizing it. 
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0 
to get 6x2+10x+4 

This can be used to write the polynomial as (x-1)(6x2 +10x+4) 
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2) 
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Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).

From this you can deduce that k= 1 
7 0
3 years ago
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3 0
3 years ago
For every 1 litre of water used to make a medicine, 193ml of sucrose and 61ml of saline solution are used. Express the amount of
Brilliant_brown [7]
<h3>Answer is the ratio 1000:193:61</h3>

Explanation

1 liter = 1000 mL

For every 1000 mL of water, we need 193 mL of sucrose and 61 mL of saline solution.

The ratio is therefore 1000:193:61

We cannot simplify this ratio any further because the GCF of those three terms is 1.

A quick way to see this is to look at how 1000 = (2*5)^3 has prime factors 2 and 5, but 2 nor 5 are factors of 193 and 61. So only 1 is a factor of all three values 1000, 193, 61

7 0
3 years ago
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