![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 07.07.2020 23:01, robert7248
In a certain online dating service, participants are given a 4-statement survey to determine their compatibility with other participants. Based on the questionnaire, each participant is notiļ¬ed if they are compatible with another participant. Each question is multiple choice with the possible responses of "Agree" or "Disagree," and these are assigned the numbers 1 or ā1, respectively. Participantās responses to the survey are encoded as a vector in R4, where coordinates correspond to their answers to each question. Here are the questions:
Question #1. I prefer outdoor activities, rather than indoor activities.
Question #2. I prefer going out to eat at restaurants, rather than cooking at home.
Question #3. I prefer texting, rather than talking on the phone.
Question #4. I prefer living in a small town, rather than a big city.
Here are the results from the questionnaire, with a group of 5 participants:
Question#1 Question# 2 Question#3 Question#4
Participant A 1 1 -1 -1
Participant B -1 1 1 1
Participant C -1 -1 1 1
Participant D 1 -1 -1 -1
Participant E 1 -1 1 1
Two participants are considered to be "compatible" with each other if the angle between their compatibility vectors is 60 degree or less. Participants are considered to be "incompatible" if the angle between their compatibility vectors is 120 degree or larger. For angles between 60 degree and 120 degree, pairs of participants are warned that they "may or may not be compatible.
a) Which pairs of participants are compatible?
b) Which pairs of participants are incompatible?
c) How would this method of testing compatibility change if the questionnaire also allowed the answer "Neutral, " which would correspond to the number zero in a participant's vector? Would this be better than only allowing "Agree" or "Disagree"? Could anything go wrong if we allowed "Neutral" as an answer?
![answer](/tpl/images/cats/otvet.png)
Answers: 1
Other questions on the subject: Mathematics
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 15:40, dmurdock1973
What is the probability of rolling a single die greater than 4
Answers: 1
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 17:30, emiller6462
Use the net as an aid to compute the surface area of the triangular prism. a) 550 m2 b) 614 m2 c) 670 m2 d) 790 m2
Answers: 1
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 19:00, Keekee9847
What is the equation of the line in point-slope form? y+ 4 = 1/2(x+4) y-4 = 1/2(x + 4) y-0 = 2(x - 4) y-4 = 2(8-0)
Answers: 2
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 20:30, leeshaaa17
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)+0
Answers: 2
Do you know the correct answer?
In a certain online dating service, participants are given a 4-statement survey to determine their c...
Questions in other subjects:
![Konu](/tpl/images/cats/health.png)
![Konu](/tpl/images/cats/health.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.08.2021 04:40
![Konu](/tpl/images/cats/himiya.png)
Chemistry, 15.08.2021 04:40
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.08.2021 04:40
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.08.2021 04:40
![Konu](/tpl/images/cats/mat.png)
Mathematics, 15.08.2021 04:40
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/en.png)
English, 15.08.2021 04:40