Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
<em>I'll assume both die are 6 sides</em>
Given
Blue die and Red Die
Required
Sizes of sets
- ![|E\ n\ B|](https://tex.z-dn.net/?f=%7CE%5C%20n%5C%20B%7C)
- ![|B|](https://tex.z-dn.net/?f=%7CB%7C)
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events
![B = \{6\}](https://tex.z-dn.net/?f=B%20%3D%20%5C%7B6%5C%7D)
![E = \{2,4,6\}](https://tex.z-dn.net/?f=E%20%3D%20%5C%7B2%2C4%2C6%5C%7D)
Calculating the size of |E n B|
![|E n B| = \{2,4,6\}\ n\ \{6\}](https://tex.z-dn.net/?f=%7CE%20n%20B%7C%20%3D%20%5C%7B2%2C4%2C6%5C%7D%5C%20n%5C%20%5C%7B6%5C%7D)
![|E n B| = \{2,4,6\}](https://tex.z-dn.net/?f=%7CE%20n%20B%7C%20%3D%20%5C%7B2%2C4%2C6%5C%7D)
<em>The size = 3 because it contains 3 possible outcomes</em>
Calculating the size of |B|
![B = \{6\}](https://tex.z-dn.net/?f=B%20%3D%20%5C%7B6%5C%7D)
<em>The size = 1 because it contains 1 possible outcome</em>
Answer:
75%
Step-by-step explanation:
900 /1200= .75=75%
2560000 sequences of answers are possible.
<em><u>Explanation</u></em>
Total number of questions = 10
First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.
So, the possible sequences of answers for first 4 questions ![= 5^4 = 625](https://tex.z-dn.net/?f=%3D%205%5E4%20%3D%20625)
and the possible sequences of answers for remaining 6 questions ![= 4^6=4096](https://tex.z-dn.net/?f=%3D%204%5E6%3D4096)
Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000
Answer:
A. England = 56000000
B. 1.046 * 10^7
C. 9.7 to 2sf
Step-by-step explanation:
A. England = 5.60*10000000
=56000000
B. Wale = 3.14*1000000 = 3140000
Scotland = 5.44*1000000 = 5440000
Northern Ireland = 1.88*1000000 =1880000
Total = 10460000
In standard form =1.046*10^7
C. Total population as at 2018 = 66460000
expected population by 2041 = 72900000
increase or change = (72900000 - 66460000) = 6440000
% change = (6440000/66460000)*100
= 0.0969003912 * 100
= 9.69003912
= 9.7 to 2sf
Bryan : 5/6 = 20/24
Brother : 3/4 = 18/24
Answer Bryan ate more