An elementary school has three sports teams. Suppose that in one class it is true that for any two students in the class, there is at least one team such that those two students are both members of that team. Prove that there is a team that contains at least 2/3 of the students in that class.
An elementary school has three sports teams. Suppose that in one class it is true that...
"ABC College" has several sports teams. After surveying two teams, the student in math244 found that that there are 20 students in team A while 35 in team B. There are 6 in both teams (overlap). a. How many team members in total in these two teams? b. (bonus 5 points) The student then survey three teams. The results show that team A has 20, team B has 35, team C has 30. The overlap of team A and B...
(1 point) An elementary school is oftering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 98 students in the school. There are 35 in the Spanish class, 27 in the French class, and 25 in the German class. There are 13 students that in both Spanish and French, 6 are in both Spanish and German, and 7 are in both French and German. In addition, there are...
(1 point) An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 109 students in the school. There are 37 in the Spanish class, 39 in the French class, and 27 in the German class. There are 17 students that in both Spanish and French, 7 are in both Spanish and German, and 9 are in both French and German. In addition, there are...
6. Suppose a small elementary school class has 12 students, and the teacher has 20 pieces of chocolate to give out. How many ways can the teacher distribute all the chocolate to the class if (15 points) (No need to calculate / simplify the result, just set up) a) there are no restrictions? b) each child must get at least one piece of chocolate? c) a certain child is to receive exactly 2 pieces of chocolate?
Townsville High School has official teams for two sports: baseball and soccer. You are given the following information regarding student participation in these sports: . 50% of students play baseball. 43% of students play soccer 28% of students play neither sport . . Determine the percentage of students that play exactly one sport.
Think about the groups/teams you've been on (class projects, co-workers in a department, sports team, school groups, etc...). Thinking about the positive and negative experiences in the groups/teams, what are some features of effective groups/teams, meaning groups/teams that perform well; meaning what do you think are some key "ingredients" that make for an effective group/team?
1. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 104 students in the school. There are 43 in the Spanish class, 34 in the French class, and 24 in the German class. There are 17 students that in both Spanish and French, 6 are in both Spanish and German, and 9 are in both French and German. In addition, there are 4...
Hawkeye Elementary School is having a raffle for students who are in sports. The school leaders are voting to choose between the two options below . Option 1: Raffle off two items and include all boys and girls in each raffle. Option 2: Have a separate raffle for boys and a separate raffle for girls. Not in sports In sports Total Girls 17 18 35 Boys 17 21 38 Total 34 39 73 If you get to vote and you...
1. An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 104 students in the school. There are 43 in the Spanish class, 34 in the French class, and 24 in the German class. There are 17 students that in both Spanish and French, 6 are in both Spanish and German, and 9 are in both French and German. In addition, there are 4...
A researcher is interested in investigating potential differences in intelligence among members of different sports/activity teams in high school. Specifically, the researcher is interested in differences in intelligence among Chess Team, Soccer Team, and Football Team members. To this end, the researcher gathered intelligence test (IQ) data on a random sample of chess, soccer, and football team members. The data collected for this study reside in the table below. Perform a one-way ANOVA to determine if significant differences in intelligence...