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

9 months agofirst step would be to sketch a venn diagram |dw:1531705979380:dw|

9 months ago|dw:1531705997910:dw|

9 months agoalright

9 months agothe only thing missing is salsa only which is just 54 - 23 = 31 so we put that in the salsa only part|dw:1531706082330:dw| 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

9 months agoafter 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

9 months agoohh okay

9 months agoso 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 --> = ?

9 months ago3.4

9 months ago23 divided by 79 not the other way around

9 months ago0.29

9 months agogood so the first table must be the correct sol'n

9 months agoohhh thank u

9 months ago