If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 7 ties , and one of 4 jackets, how many leaves would that be?

Number of leaves = 56   

Step-by-step explanation:

Number of shirts to be chosen = 2

Number of tie to be chosen = 7

Number of jackets to be chosen = 4

We need to find the number of leaves if a tree diagram is made by using the above given information.

When making a tree diagram :

Number of shirts chosen = 2

⇒ Number of leaves = 2

Now, choosing one of 7 ties

⇒ Number of leaves = 2 × 7

Then choosing one of 4 jackets

⇒ Number of leaves = ( 2 × 7 ) × 4

Therefore, Total number of leaves in the tree diagram = ( 2 × 7 ) × 4

                                                                                           = 56

Thus, Number of leaves = 56

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)