Answer:
<em>15 students visited both museums.</em>
Step-by-step explanation:
<u>Operations With Sets</u>
Sets are a collection of elements. Some sets have elements in common with other sets. These elements are said to be in their intersection. If we know the number of elements in the set A and in the set B, and also the total number of elements in both sets, we can say
where is the total number of elements, N(A) and N(B) are the number of elements in A and B respectively, and is the number of elements in their intersection. If we wanted to know that last number, then we isolate it
Let A= Students who visited the museum of natural history
B=Students who visited the natural air and space museum
We know
Answer: 15 students visited both museums.
Note: We are assuming no students didn't visit at least one museum
6,000 investment x.04 interest x 3 years = 720 Nate Earned.
Answer:
2000
Step-by-step explanation:
6.5% of 29, 788 is
0.065(29,788) = 1936.22
However, he is guaranteed a salary of $2000. Since 2000 is larger than 1936.22, he receives $2000.
how many 3 element subsets of {1, 2, 3, 4, 5, 6, 7, 8, ,9, 10, 11} are there for which the sum of the elements in the subset is
AURORKA [14]
Answer:
There are 155 ways in which these elements casn occur.
Step-by-step explanation:
We want 3 element subsets whose sum are multiples of 3
1+2+3= 6
1+2+6= 9
1+2+9= 12
1+9+11=21
1+3+5=9
1+4+8=12
1+5+6=12
1+6+8=15
1+7+10=18
1+8+9=18
1+9+11=21
2+3+7=12
2+4+6=12
2+4+9=15
2+5+11=18
2+6+7=15
2+7+9=18
2+8+5=15
2+8+11=21
2+9+10=21
3+6+9= 18
3+9+11=21
3+10+11=24
6+9+10=27
6+8+11=27
6+7+11=24
7+8+9= 24
8+9+10=27
7+9+11=27 .........
We have 11 elements
We need a combination of 3
The combinations can be in the form
even+ even+ odd
odd+odd+odd
even + odd+odd
So there are 3 ways in which these elements can occur
Total number of combinations with 3 elements =11C3= 165
There are 6 odd numbers and 5 even numbers.
Number of subsets with 3 odd numbers = 6C3= 20
Number of two even numbers and 1 odd number = 5C2*6C1=10*6= 60
Number of 2 odd and 1 even number = 6C2* 5C1= 5*15= 75
So 20+60+75=155
There are 155 ways in which this combination can occur
Answer:
It's 8.6 Miles
Step-by-step explanation:
Because Area of Circle will be πd 22/7 *1/4
= 0.7857 and 0.7857 *11 = 8.6 miles