Tutors Answer Your Questions about sets-and-operations (FREE)
Question 565018: You were assigned a locker for your books at school. You forgot the locker number but remmeber that two of the 12 positive factors of the locker number are 6 and 25. What is your locker number? Show or explain how you got your answer.
Click here to see answer by KMST(578)   |
Question 551065: In a certain party each one of the group drinks coke or beer or whiskey or all. also 400 drink coke, 500 drink beer and 300 drink whiskey. 100 drink coke and beer, 200 drink beer and whiskey. 1 who drinks whiskey does not drink coke. how many are in the group?
Click here to see answer by Edwin McCravy(6931)  |
Question 549952: given the universal set E={1,2,3,4,5,6,7,8,9,10}
what is the complement of {1,10}
Click here to see answer by richard1234(4789)  |
Question 510299: There are a total of 108 foreign language students in a high school where they offer Spanish, French, and German.
There are 21 students who take at least 2 languages at once.
If there are
44 students of Spanish,
45 students of French, and
40 students of German,
how many students take all three languages at once?
Click here to see answer by edjones(7311)  |
Question 500817: 1. Whenever we encounter a new proposition, it is a good idea to explore the
proposition by looking at specific examples. For example, let
a =20, b = 12, and t = 4. In this case, t given a and t given b. In each of
the following cases, determine the value of (ax + by) and determine if t
divides (ax + by).
(a) x = 1; y = 1 a. yes
(b) x = 1; y = -1 b. yes
(c) x = 2; y = 2 c. yes
(d) x = 2; y= -3 d. yes
(e) x = -2; y = 3 e. yes
(f) x = -2; y = -5 f. yes
2. Repeat Part (1) with a = 21, b = -6, and t =3.
a. yes d. yes
b. yes e. yes
c. yes f. yes
3. We started the forward-backward process for the proof of Proposition 4.15
following the discussion of this proposition. Complete the following proof
of Proposition 4.15.
Proposition 4.15. Let a, b, and t be integers with t ≠ 0. If t divides a and t
divides b, then for all integers x and y, t divides ax + by.
Proof. Let a, b, and t be integers with t ≠ 0, and assume that t divides a and
t divides b. We will prove that for all integers x and y, t divides (ax + by).
So let x is an element of Z and let y is an element of Z. Since t divides a, there exists an integer m such that ….
Click here to see answer by richard1234(4789) |
Question 500690: One of the most famous unsolved problems in mathematics is a conjecture
made by Christian Goldbach in a letter to Leonhard Euler in 1742. The
conjecture made in this letter is now known as Goldbach’s Conjecture. The
conjecture is as follows:
Every even integer greater than 2 can be expressed as the sum of two
(not necessarily distinct) prime numbers.
Currently, it is not known if this conjecture is true or false, although most
mathematicians believe it to be true.
(a) Describe one way to prove that Goldbach’s Conjecture is false.
(b) Prove the following:
If there exists an odd integer greater than 5 that is not the sum of
three prime numbers, then Goldbach’s Conjecture is false.
Click here to see answer by solver91311(12118)  |
Question 495875: It was stated that a real function is a function whose domain
and codomain are subsets of the real numbers R. Most of the functions
used in calculus are real functions. Quite often, a real function is given by a
formula or a graph with no specific reference to the domain or the codomain.
In these cases, the usual convention is to assume that the domain of the real
function f is the set of all real numbers x for which f(x) is a real number and that the codomain is R. For example, if we define the (real) function f
by,
f(x)=x/x-2,
we would be assuming that the domain is the set of all real numbers that are not equal to 2.
Determine the domain and range of each of he following real functions.
a.)The function k defined by k(x)=the square root x-3
b.)The function F defined by F(x)=In(2x-1)
c.)The function f defined by f(x)=3 sin(2x)
d.)The function g defined by g(x)=4/x^2 - 4
Click here to see answer by richard1234(4789) |
Question 484526: I'm having a problem with this set. The question is..
Prior to the 7:15 show at the local movie theater, 70 people visited the concession stand, Listed below is what they ordered
42 ordered popcorn
18 ordered candy
30 ordered a soda
10 ordered popcorn and candy
8 ordered soda and candy
12 ordered popcorn and soda
5 ordered popcorn, candy and soda
1. How many people ordered something other than popcorn, candy or soda?
2. How many people ordered popcorn and a soda but not candy?
3. How many people ordered candy or a soda but not popcorn?
4. How many people ordered popcorn or candy?
Click here to see answer by solver91311(12118) |
Question 482658: Problem says this, and it is a multiple choice question:
Given the following sets, select the statement below that is NOT true.
A = {b, l, a, z, e, r}
B = {b, a, l, e}
C = {a, b, l, e}
D = {l, a, b}
E = {a, b, l}
Multiple choice possibilities:
1. E ⊂ A
2. C ⊂ A
3. D ⊆ B
4. C ⊂ B
5. D ⊂ A
Could someone help me with this, please? Thank you.
Click here to see answer by Edwin McCravy(6931) |
Question 482196: The problem says this:
Are the two sets equal, equivalent, neither or both?
V = {eye, nose, ear, mouth, tongue}; W = {tongue, ear, mouth, eye, nose}
Will someone help me with this? Also, to get a better understanding of this, would you mind explaining your answer? Thank you so much!
Click here to see answer by MathLover1(3376)  |
Question 482196: The problem says this:
Are the two sets equal, equivalent, neither or both?
V = {eye, nose, ear, mouth, tongue}; W = {tongue, ear, mouth, eye, nose}
Will someone help me with this? Also, to get a better understanding of this, would you mind explaining your answer? Thank you so much!
Click here to see answer by stanbon(48510) |
Question 482202: Problem says this:
Given
U = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}
A = {16, 18, 20, 22}
B = {17, 19, 20, 23, 24}
Find A′∩ B′.
Could you please help me with this? Thank you so much!
Click here to see answer by stanbon(48510) |
Question 481352: The problem says this, and it is multiple choice:
Given the following sets, select the statement below that is true.
A = {b, l, a, z, e, r}, B = {b, a, l, e}, C = {a, b, l, e}, D = {l, a, b}, E = {l, a}
1. E ⊆ A and B ⊂ C
2. C ⊂ D and E ⊂ C
3. D ⊆ C and D ⊆ E
4. C ⊂ E and B ⊆ A
5. D ⊂ C and B ⊆ C
Can you help me with this please? Thank you so much!
Click here to see answer by Theo(2967)  |
Question 481009: Can someone help me with this please?
My Problem says this:
Determine the following: A ∪ B′
Let
U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {1, 2, 4, 5, 8}
B = {2, 3, 4, 6}
The photo:
http://www.flickr.com/photos/62474130@N03/6036660666/
Click here to see answer by solver91311(12118) |
Question 481008: My problem says this:
Use the graph to represent each set in roster form. The set of years included in the graph in which digital camera sales were less than 6 million.
Can someone please help me with this?
Here is the graph:
http://www.flickr.com/photos/62474130@N03/6036660664/
Click here to see answer by solver91311(12118) |
Question 480571: PERMUTATIONS AND COMBINATIONS
A CLUB CONSISTS OF 16 MEN AND 19 WOMEN. IN HOW MANY WAYS CAN THEY CHOOSE A PRESIDENT, VICE PRESIDENT, TREASURER, AND SECRETARY, ALONG WITH AN ADVISORY COMMITTEE OF SIX PEOPLE? (ROUND THE ANSWER TO FIVE DECIMAL PLACES.)
Click here to see answer by solver91311(12118) |
Question 475954: for each given set,how do I choose the set with the same cardinality
{1,4,7,...,91,94}
{1,2,3,...,205,206}
{1,3,5,...,211,213}
possible choices {147,148,149,...,240}{131,132,133,...,247} {3,4,5,...,34} {1423,1425,1427,...1833}
Click here to see answer by richard1234(4789) |
Question 475946: for each given set,how do I choose the set with the same cardinality
{1,4,7,...,91,94} Possible choices
{1,2,3,...,205,206} {131,132,133,...,247}
{1,3,5,...,211,213} {147,148,149,...,240}
{3,4,5,...34}
{131,132,133,...,237}
{1423,1425,1427,...,1833}
Click here to see answer by tinbar(122) |
Question 475929: how do I perform the given operations. (Enter solutions from smallest to largest) If there are any unused answer boxes, enter none in the last boxes.
{17,22,26} u {22,17,37}
{17,22,26} n {22,17,37}
{17,47,26} u {92,80,37}
{17,47,26} n {92,80,37}
Click here to see answer by stanbon(48510) |
Question 472805: Given that U = {students in a college},
A = {students who are over 180 cm tall},
B = {students who are vegetarian},
C = {students who are cyclists},
express in words each of the following
i) A∩B ≠ Ø
ii) A ⊂ C'
Express in set notation the statement
(iii) all students who are both vegetarians and cyclists are not over 180 cm tall.
Click here to see answer by solver91311(12118) |
Question 468967: Given U = {10,11,12,13,14,15,16,17,18,19,20}, A= {11,13,15,19}, & B= {10,12,14,15,16,19}.
Find A' union B' Show all work on finding A', then B' then the union
Click here to see answer by Edwin McCravy(6931) |
Question 468991: Someone Please help me!
Given the following A={1,2,3} B={1,2,3,4,5} and C= {4,5,6,7} Evaluate each set
a) A intersection B
b) A union C
c) B union C
d) (A union B)intersection C
e) A union (B union C)
f) (A intersection B) intersection C
g) (A intersection B)union C
Click here to see answer by MathLover1(3376) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225
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