Question

a team has 39 baseball games this season. out of the 24 home games, the team won 11 of them. the team had a total of 22 wins over the entire season. use venn diagram below to organize the information. complete the venn diagram by entering the number of elements in each region and then answer the questions below: region i = region ii = region iii = region iv = how many away games did the team win? how many of the away games did the team lose? how many games did the team lose?

Explanation:

Step1: Identify region II

Region II represents home - games that are wins. Given 11 home - games are wins, so Region II = 11.

Step2: Identify region I

Region I represents home - games that are losses. There are 24 home games and 11 home - game wins. So the number of home - game losses (Region I) is $24 - 11=13$.

Step3: Identify region III

Region III represents away - games that are wins. The team had 22 total wins and 11 home - game wins. So the number of away - game wins (Region III) is $22 - 11 = 11$.

Step4: Identify the number of away games

The total number of games is 39 and the number of home games is 24, so the number of away games is $39 - 24=15$.

Step5: Identify region IV

Region IV represents away - games that are losses. The number of away games is 15 and the number of away - game wins is 11. So the number of away - game losses (Region IV) is $15 - 11 = 4$.

Step6: Calculate total losses

The total number of losses is the sum of home - game losses and away - game losses. Home - game losses are 13 and away - game losses are 4, so the total number of losses is $13 + 4=17$.

Answer:

Region I = 13
Region II = 11
Region III = 11
Region IV = 4
How many away games did the team win? 11
How many of the away games did the team lose? 4
How many games did the team lose? 17