Tutors Answer Your Questions about sets-and-operations (FREE)
Question 1167557: At a luncheon of 37 eminent people 25 requested for fried rice, request for salad, while 20 requested for shredded beef.7 people requested for fried rice and shredded beef and 8 people requested for salad and shedded beef.Also 10 people requested for salad only, using a Venn diagram for the three dishes.1. find the number of people that requested for three different dishes.2.find the number of people that requested for two different dishes.Find the number of people that requested for one different dishes.assume that each person requested for at least one dish
My email address is sholadek22@gmail.com
Click here to see answer by ikleyn(52781)   |
Question 1167780: In a recent survey, it was found out that a certain college has 86 faculty members broken down as follows:
48 female intructors
46 married instructors
34 instructors with more than 15 years service
19 married female
18 married with more than 15 years service
17 female with more than 15 years service
8 married female with more than 15 years service
Questions:
1. How many are married female with less than 15 years service?
2. How many are married male with more than 15 years service?
3. How many are single female with more than 15 years service?
4. How many are married female with more than 15 years service
5. How many are male single with less than 15 years service?
Click here to see answer by solver91311(24713)  |
Question 1169803: A retired couple have RM30,000 to invest in a fixed-income security. Their broker recommends investing in two bonds: AAA bond yielding 8% and the other BBB bond paying 12%. After some consideration, the couple decide to invest at most RM12,000 and at least RM6000 in the BBB bond and AAA bond, respectively. They also want the amount invested in the AAA bond to exceed or equal to the amount invested in the BBB bond.
What should the broker recommend if the couple wants to maximize the return of their investment?
Click here to see answer by Theo(13342)  |
Question 1170100: Not sure where this goes but lets try here. I have the sum of values for each day of the week. The sum changes daily but the range is always 7 days at a time. So lets say Sun-Sat = 750, then Mon-Sun = 825, then Tue-Mon = 678, then Wed-Tue = 913. Is there a way to determine the values for each day over time?
Click here to see answer by ikleyn(52781) |
Question 1172351: Solve the following questions:
(i) How many abelian groups of order 36 are there upto isomorphism?
(ii) If f = u + iv is analytic when u = Sin(x).Cosh(y) then what is the value of v?
(iii) If we have homogeous system of 5 linear equations and 7 unknown and the rank of co efficient of matrix is 4. Find the maximum number of independent solution vectors?
(iv) Find the remainder of (3)^20 divided by 7?
(v) What are the factors of x^4 + 1 and x^6 + 1?
Click here to see answer by Solver92311(821)  |
Question 1172351: Solve the following questions:
(i) How many abelian groups of order 36 are there upto isomorphism?
(ii) If f = u + iv is analytic when u = Sin(x).Cosh(y) then what is the value of v?
(iii) If we have homogeous system of 5 linear equations and 7 unknown and the rank of co efficient of matrix is 4. Find the maximum number of independent solution vectors?
(iv) Find the remainder of (3)^20 divided by 7?
(v) What are the factors of x^4 + 1 and x^6 + 1?
Click here to see answer by ikleyn(52781) |
Question 1172430: In a party for 30 young children, 12 were served Coca-Cola drink, while 14 were served pepsi-cola . If 9 children were served Coca-Cola but not with pepsi-cola , find
1)the number of children served both drinks
2).the number of children served at least one type of drink
3).the number of children not served any of the drink
Click here to see answer by ikleyn(52781) |
Question 1172447: -
At a luncheon party for 37 eminent people, 25 requested for fried rice, 15 requested for salad, while 20 requested for shredded beef. 7 people requested for fried rice and salad, 13 people requested for fried rice and shredded beef and 8 people requested for salad and shredded beef. Also 10 people requested for fried rice only , while 5 requested for salad only . Using a venn diagram, find
1).the number of people that requested for all the three dishes
2).the number of people that requested for two different dishes
3).the number of people that requested for only one dish. (Assume that each person requested for only one dish.)
Click here to see answer by Boreal(15235)  |
Question 1172823: At a luncheon party for 37 eminent people, 25 requested for fried rice, 15 requested for salad, while 20 requested for shredded beef. 7 people requested for fried rice and salad, 13 people requested for fried rice and shredded beef and 8 people requested for salad and shredded beef. Also 10 people requested for fried rice only , while 5 requested for salad only . Using a venn diagram, find
1).the number of people that requested for all the three dishes
2).the number of people that requested for two different dishes
3).the number of people that requested for only one dish. (Assume that each person requested for only one dish.)
Click here to see answer by ikleyn(52781) |
Question 1172429: At a luncheon party for 37 eminent people, 25 requested for fried rice, 15 requested for salad, while 20 requested for shredded beef. 7 people requested for fried rice and salad, 13 people requested for fried rice and shredded beef and 8 people requested for salad and shredded beef. Also 10 people requested for fried rice only , while 5 requested for salad only . Using a venn diagram, find
1).the number of people that requested for all the three dishes
2).the number of people that requested for two different dishes
3).the number of people that requested for only one dish. (Assume that each person requested for only one dish.)
Click here to see answer by ikleyn(52781) |
Question 1177066: An advertising agency finds that of its 170 clients, 115 use TV and 110 use radio, 130 use magazine. Also 85 use TV and magazine, 75 use TV and radio, 95 use radio and magazines, 70 use all three. Find:
i) how many use only radio
ii) how many use only TV
iii) how many use TV and magazines and but not radio
Click here to see answer by Boreal(15235) |
Question 1177118: To start a new transport company, a business needs at least 5 buses and 10 minibuses. He is not able to run more than 30 vehicles altogether. A bus takes up 3 units of garage space, a minibus takes up 1 unit of garage space and there are only 54 units available. If x and y are the numbers of buses and minibuses respectively:
i . Write down 4 inequalities in x and y which represent the restriction on the businessman.
ii . Draw a graph which shows the region representing possible value of x and y. Shading out the unwanted region.
Click here to see answer by Theo(13342) |
Question 1178039: In a class of 50 students, 24 like football, 21 basketball and 18 cricket.
Six like football and basketball only, 3 like basketball only, 5 like all
three games and 14 did not like any of the three games
(i) Illustrate this information on a Venn diagram.
(ii) Find the number of students who like:
(α) football and cricket only;
(β) exactly one of the games.
Click here to see answer by Edwin McCravy(20055)  |
Question 1178233: In a survey of 100 out patients who reported at a hospital one day , it was found that 70 complained of fever , 50 had stomach ache and 30 were injured. All 100 patients had at least one of the complaints. How many patients had all 3 complaints.
Click here to see answer by ikleyn(52781) |
Question 1179123: Consider the set {1, 2, 3, 4, 5, 6, 7, 8, 9}, where,
A := {1, 3, 5, 7, 9}, B := {2, 4, 6, 8}, C := {3, 5}, D := {2, 4, 6, 8}.
Derive the cardinal for A'
. Hence, determine n(A'
).
Click here to see answer by MathLover1(20849)  |
Question 1180159: Three basketball players named Badje, Enrico, and Rodel are walking to the basketball court. Badje,
he best player of the three, always tells the truth. Enrico sometimes tells thel truth, while Rodel,
the worst player, always lies. The first person said that the guy in the middle is Rodel. The
second person said that he is Enrico. The third person said that the guy in the middle is
Badje. Determine who is the first, second, and the third guy?
Click here to see answer by htmentor(1343)  |
Question 1180158: A centered pentagonal number is a centered figurate number that represents a
pentagon with a dot in the center and all other dots surrounding the center in successive
pentagonal layers. Determine the nth term of the centered pentagonal number.
Click here to see answer by greenestamps(13200)  |
Question 1181543: In a survey of 400 students in a secondary school,200 were listed as smokers and 300 are listed as gum chewers.150 were listed as both smokers and gum chewers. Find how many students are either smokers or gum chewers. Illustrate this Venn diagram
Click here to see answer by ikleyn(52781) |
Question 1181549: In a city school during the admission to class XI, 18 students took English, 23 took Hindi and 24 students took Sanskrit. Of these, 13 took both Hindi and Sanskrit, 12 took both English and Hindi and 11 took both English and Sanskrit. Due to the request made by the students, the school authorities decided that 6 students will be offered all the three languages. Kindly also provide the Venn digram
Based on the above information answer the following:
(i) The total number of students who took admission in class XI, is
(a) 35
(b) 30
(c) 33
(d) 45
(ii) How many students took Sanskrit but not Hindi?
(a) 6
(b) 19
(c) 11
(d) 9
(iii) How many students took exactly one of the three subjects?
(a) 25
(b) 11
(c) 20
(d) 21
(iv) How many students took exactly two of the three subjects?
(a) 11
(b) 21
(c) 8
(d) 18
(v) How many students took Hindi but not Sanskrit?
(a) 9
(b) 10
(c) 19
(d) 13
Click here to see answer by ikleyn(52781) |
Question 1181755: 120 vehicles underwent a vehicles inspection test,and 80 passed those who failed had faults in breaks tyres and lights 15 had faults in tyres 16 in lights 4 in brakes and tyres 3 in tyres and lights 3 in brakes and lights
Click here to see answer by ikleyn(52781) |
Question 1182254: Please help me solve this: 90 principal accountants from selected shs
attended a one week workshop at ajumako and the following shows their choice
of meal they prefer at lunch. 63 like Banku with stew (B) 55 like fried rice
with chicken (R) and 50 like fufu with mutton light soup. (F) 13 liked only
Banku 8 liked only fried rice 5 like only fufu and 22 liked all three meals.
Find the number of accountants who liked
a. Banku and fried rice
b. Only two of the meals
c. None of the three meals.
Click here to see answer by Edwin McCravy(20055) |
Question 1182254: Please help me solve this: 90 principal accountants from selected shs
attended a one week workshop at ajumako and the following shows their choice
of meal they prefer at lunch. 63 like Banku with stew (B) 55 like fried rice
with chicken (R) and 50 like fufu with mutton light soup. (F) 13 liked only
Banku 8 liked only fried rice 5 like only fufu and 22 liked all three meals.
Find the number of accountants who liked
a. Banku and fried rice
b. Only two of the meals
c. None of the three meals.
Click here to see answer by greenestamps(13200) |
Question 1182919: I have been struggling with this problem for a few days now:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6}
B = {3, 7}
C = {1, 3, 6, 7, 9}
List all the members of the following set.
A ∩ (B ∪ C)
The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
3,6,7
The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members).
The answer, however, is incorrect.
I am stumped and would appreciate any tips. Thank you!
So
Click here to see answer by MathLover1(20849) |
Question 1182919: I have been struggling with this problem for a few days now:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6}
B = {3, 7}
C = {1, 3, 6, 7, 9}
List all the members of the following set.
A ∩ (B ∪ C)
The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
3,6,7
The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members).
The answer, however, is incorrect.
I am stumped and would appreciate any tips. Thank you!
So
Click here to see answer by helper 1234321(1) |
Question 1182919: I have been struggling with this problem for a few days now:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6}
B = {3, 7}
C = {1, 3, 6, 7, 9}
List all the members of the following set.
A ∩ (B ∪ C)
The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
3,6,7
The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members).
The answer, however, is incorrect.
I am stumped and would appreciate any tips. Thank you!
So
Click here to see answer by ikleyn(52781) |
Question 1182919: I have been struggling with this problem for a few days now:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6}
B = {3, 7}
C = {1, 3, 6, 7, 9}
List all the members of the following set.
A ∩ (B ∪ C)
The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
3,6,7
The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members).
The answer, however, is incorrect.
I am stumped and would appreciate any tips. Thank you!
So
Click here to see answer by MathTherapy(10552)  |
Question 1182920: (UPDATED / DUPLICATE!!!!! I submitted this question but forgot to add a major detail about my what I had tried!
---------
I have been struggling with this problem for a few days now:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6}
B = {3, 7}
C = {1, 3, 6, 7, 9}
List all the members of the following set.
A ∩ (B ∪ C)
The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
3,6,7
The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members). After dropping all duplicates, the solution suggested you also drop any numbers that are NOT included in A, B, AND C.
The answer, however, is incorrect.
I am stumped and would appreciate any tips. Thank you!
Click here to see answer by ewatrrr(24785)  |
Question 1182920: (UPDATED / DUPLICATE!!!!! I submitted this question but forgot to add a major detail about my what I had tried!
---------
I have been struggling with this problem for a few days now:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 4, 6}
B = {3, 7}
C = {1, 3, 6, 7, 9}
List all the members of the following set.
A ∩ (B ∪ C)
The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
3,6,7
The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members). After dropping all duplicates, the solution suggested you also drop any numbers that are NOT included in A, B, AND C.
The answer, however, is incorrect.
I am stumped and would appreciate any tips. Thank you!
Click here to see answer by ikleyn(52781) |
Question 1183911: A. Given U = (x | x is a letter in the english alphabet)
A = (a, b, c, d, e) B = (a, f, g, h) C = (a, c, h, i)
Find the following sets.
1. (B ∩ C) ∩ A'
2. C U Ø
3. (A ∩ B) U (A ∩ C)
4. B ∩ B
5. A’U B’
6. B’ ∩ C’
7. A ∩ B ∩ C
8. B U Ø
Click here to see answer by Edwin McCravy(20055) |
Question 1183862: Given U={x/ x is a letter in the English alphabet
A = {a,b,c,d,e} B={a,f,g,h} C={a,c,h,i}
Find the following sets.
a. A complement B complement c
b. A' U B'
c. (B complement C) complement A'
d. B ∪ ∅
e. C ∪ ∅
f. B ∩ B
Click here to see answer by greenestamps(13200) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035
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