11,15,8,2,7,10,9,12,11,8,12,3,14,8, 1,9 Which dot plot represents this data

The only choice showing the correct distribution of frequencies is c.

Step-by-step explanation:

Data Plots

Considering the provided data:

{11,15,8,2,7,10,9,12,11,8,12,3,14,8,2,9}

To produce a data plot, it's convenient to sort the data:

{2,2,3,7,8,8,8,9,9,10,11,11,12,12,14,15}

It's easier now to see the frequency of each data:

# :f

2 :2

3 :1

7 :1

8 :3

9 :2

10:1

11:2

12:2

14:1

15:1

The only choice showing the correct distribution of frequencies is c.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6