Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. he found that 35 of the 99 students who own a skateboard have snowboarded. also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. which two-way table correctly displays this data?

third graph

Step-by-step explanation:

We represent the above information in a two way frequency table.

                             Have Snowboarded         Never Snawboarded          Total

Skateboard                          35                                     64                          99

No Skateboard                    13                                     147                        160

Total                                     48                                     211                        259

Therefore, the third graph is the correct answer.

We are given that,

The number of students who have gone snowboarding and who own a skateboard shown by the survey are,

Number of students who own a skateboard = 99

Out of these 99, the number of students who have snow-boarded = 35

So, the number of students who have not snow-boarded = 99 - 35 = 64

The number of students who have snow-boarded but do not own a skateboard = 13

And, the number of students who have never gone snowboarding and do not own a skateboard = 147

Thus, the two-way table is given by,

                           Have Snow-boarded       Never snow-boarded      Total

Skateboard                     35                                           64                     99

No skateboard                13                                           147                    160

Total                                48                                           211                    259                    

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2