Question

A dance school has 54 students who learn salsa, and 23 of those students also learn ballet. There are 15 students who do not learn salsa but learn ballet, and 10 students do not learn either salsa or ballet. Which table best shows the conditional relative frequency of rows for the data?

Learn salsa Do not learn salsa Total
Learn ballet 0.29 0.19 1
Do not learn ballet 0.39 0.13 1
Total 0.68 0.32 1

Learn salsa Do not learn salsa Total
Learn ballet 0.61 0.39 1
Do not learn ballet 0.76 0.24 1
Total 0.68 0.32 1

Learn salsa Do not learn salsa Total
Learn ballet 0.43 0.60 1
Do not learn ballet 0.57 0.4 1
Total 0.68 0.32 1

Learn salsa Do not learn salsa Total
Learn ballet 0.23 0.15 1
Do not learn ballet 0.31 0.10 1
Total 0.54 0.25 1

Answer 1

first step would be to sketch a venn diagram

Answer 2

alright

Answer 3

the only thing missing is salsa only which is just 54 - 23 = 31 so we put that in the salsa only part

now that every student is accounted for exactly once, we add the #'s in the circles and the # outside

to get

10 + 15 + 23 + 31 = 79 if I did my math correctly

Answer 4

after that we just need to figure out what # goes in the first spot in the table under "learns both salsa and ballet"

check the venn diagram to see how many students took both ballet and salsa (the center of the venn) and divide by the total 79

Answer 5

ohh okay

Answer 6

so if we look at the venn diagram we see that the "both" category has 23 in it

total = 79


so the first # in the table should be 23/79 --> = ?

Answer 7

3.4

Answer 8

23 divided by 79 not the other way around

Answer 9

0.29

Answer 10

good

so the first table must be the correct sol'n

Answer 11

ohhh thank u