The venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet. enter your answers in the boxes to complete the two way table based on the given data. dog not dog total cat not cat total

We are given a Venn Diagram that represents the results of a survey that asked participants whether they would want a dog or a cat as a pet.  

So, based on the Venn diagram we can make the two way table based on the given data.

                       Dog              Not dog             Total  

Cat                     31                      10                      41

Not  Cat              24                     7                       31    

Total                    55                   17                       72

( since, the region that  represents cat and dog both is the intersection of cat and dog in the Venn diagram which is 31.

Also, the region cat but not dog is the region of cat excluding the common region i.e. intersection region.

Also, the region dog but not cat represent the region of dog excluding the intersection region.

and not cat not dog represent the region outside the circle i.e. 7 )

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct