Question

In: Advanced Math

Graph theory In a certain school, there are 39 clubs and 194 students. Some students do...

Graph theory

In a certain school, there are 39 clubs and 194 students. Some students do not belong to any clubs but every club has at least one member and no two clubs have the same number of members. Prove that there is a way to choose one student from each club ending up with 39 different students.

Solutions

Expert Solution


Related Solutions

Students at a certain school were​ surveyed, and it was estimated that 19​% of college students...
Students at a certain school were​ surveyed, and it was estimated that 19​% of college students abstain from drinking alcohol. To estimate this proportion in your​ school, how large a random sample would you need to estimate it to within 0.08 with probability 0.99​, if before conducting the study​ (a) you are unwilling to predict the proportion value at your school and​ (b) you use the results from the surveyed school as a guideline. a. n= b. n=
1. In a certain school district, it was observed that 30% of the students in the...
1. In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 136 out of 392 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.02 level of significance. What is the...
In a certain school district, it was observed that 33% of the students in the element...
In a certain school district, it was observed that 33% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 152 out of 386 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01α=0.01 level of significance. What is the hypothesized...
The school population for a certain school is predicted to increase by 80 students per year...
The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 ​years? Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$24,700​, and the 12th year his income was $37,900. In which year was his income $ 43,900? How many terms are there in each of...
In a certain high school, uniforms are optional. A study shows that high school students who...
In a certain high school, uniforms are optional. A study shows that high school students who wear uniforms have a lower grade average than students who don't wear uniforms. From this study, the school administration claims that they should not require the students to wear uniforms because that is the cause of the lowering grades. Another possible explanation is that students who wear uniforms are poorer than the students who don't wear uniforms and the economic situation of their parents...
the average scores of math students in a certain school is 75 with a standard deviation...
the average scores of math students in a certain school is 75 with a standard deviation of 8.1. one hundred students were randomly selected, and the average score was found to be 71. the director wants to know wether students have deteriorated. significance level is 0.01 1) the hypotheses are ? 2)Decision and conclusion ? 3) the critical value is ? 4) the test statistic is ?
A study reported that 28 percent of middle school students in a certain state participate in...
A study reported that 28 percent of middle school students in a certain state participate in community service activities. A teacher believes that the rate is greater than 28 percent for the middle school students in the teacher’s district. The teacher selected a random sample of middle school students from the district, and the percent of students in the sample who participated in community service activities was found to be 32 percent. Which of the following is the most appropriate...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=544 and standard deviation σ=29.1. (a) What is the probability that a single student randomly chosen from all those taking the test scores 548 or higher? For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test. (b) What are the mean and standard deviation of the sample mean score x¯, of...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean ?=545.8μ=545.8 and standard deviation ?=28.4σ=28.4. (a) What is the probability that a single student, randomly chosen from all those taking the test, would score 552 or higher? For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test. (b) What are the mean and standard deviation of the sample mean score ?¯x¯,...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean  and standard deviation . (a) What is the probability that a single student randomly chosen from all those taking the test scores 545 or higher? ANSWER:   For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 30...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT