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MAVERICK [17]
3 years ago
13

Your sock drawer has six white socks, six brown socks, and four black socks. you randomly pick two socks and get a matching pair

of black socks. find the probability of this occuring.
Mathematics
1 answer:
Helen [10]3 years ago
4 0
Total socks in the drawers = 6 + 6 + 4 = 16 

Probability of picking the first black sock = 4/16
Probability of picking the second black sock = 3/15

Probability of picking two black socks = 4/16 × 3/15 = 1/20
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Can someone help me solve (x+18)^(1/2)+2=x
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Lets solve your equation step by step:
(x+18)^1/2+2=x
step 1:Add -2 to both sides:
(x+18)^1/2+2-2=x+-2
(x+18^)1/2=x-2
step 2:solve exponent
(x+18)^1/2=x-2
((x+18)^1/2)^2=(x-2)^2
x+18=x^2-4x+4
x+18-(x^2-4x+4)=x^2-4x+4-(x^2-4x+4) (subtract x^2-4x+4 from both sides)
-x^2+5x+14=0
(-x-2)(x-7)=0(factor left side of equation)
-x-2=0 or x-7=0 (set factors equal to zero)
x=-2 or x=7

check answers:(plug them in to make sure they work )
x=-2(doesn't work in original equation)
x=7(works in original equation)
6 0
3 years ago
Try It #2
storchak [24]

Answer:

The population in year 2014 is 41100.

Step-by-step explanation:

In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .

It is required to predict the population in 2014 .

To do so, use the population given in two years as two points on a line and find the equation of population and year. Then, find the population in year 2014 .

Step 1 of 2

The population in 2008 was 28200 and in 2012 it was, 36800 .

The equation relating population and year is,

$$\begin{aligned}&y-28200=\left(\frac{36800-28200}{2012-2008}\right)(x-2008) \\&y-28200=\left(\frac{8600}{4}\right)(x-2008) \\&y-28200=2150(x-2008)\end{aligned}$$

Step 2 of 2

The population in year 2014 can be determined by substituting 2014 for x,

$$\begin{aligned}&y-28200=2150(2014-2008) \\&y-28200=2150(6) \\&y-28200=12900 \\&y=41100\end{aligned}$$

6 0
2 years ago
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Vanyuwa [196]

Answer:

If the numbers have the same sign, then the answer will be positive.

If the numbers have different signs, then it will be negative.

8 0
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vampirchik [111]
<span>It will take Trevor 6 days to paint 6/6 of the fence if he paints 1/6 every day. 3/4 of 6 can be worked out by the following sum: (6/4)x3. 4.5 days is the answer. </span>
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(3.15x10^4) (5.15x10^-7 express the result as a decimal
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Answer: 1.62225 x 10^-2 or 0..0162225

Step-by-step explanation:

8 0
3 years ago
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