The mean score is 3.08.
There is 1 quiz with score 1, so 1 point; 3 quizzes with score 2 for 3*2 = 6 points; 4 quizzes with score 3 for 4*3 = 12 points; 4 quizzes with score 4 for 4*4 = 16 points; and 1 quiz with score 5 for 5 points.
This is a total of 1+6+12+16+5 = 40 points.
This is out of 1+3+4+4+1 = 13 quizzes.
40/13 = 3.08
Answer: 62
Step-by-Step Explanation:
First Term (a) = 7
Common Difference (d) = 12 - 7 = 5
Term to Find (n) = 12th
Therefore, finding the 12th Term :-
=> a+(n-1)d
= 7 + (12 - 1)5
= 7 + (11)5
= 7 + 55
=> 62
Hence, 12th Term of this AP is 62
9514 1404 393
Answer:
Either of ...
- (x, y) ⇒ (-x, -y)
- Rotation 180° about the origin
Step-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.
Answer: 
Step-by-step explanation:
You need to use the following Properties of Logarithms:
Given the following expression:
You can follow these steps in order to write it as a single logarightm:
- Apply the first property shown above:
- Apply the second property:
- Finally, apply the third property:
Answer:
64 ivy stems
Step-by-step explanation:
To solve this problem we can use rule of three:
Firstly we had 72 ivy stems to use in 18 centerpieces, and know we have 16 centerpieces and want to know how many ivy stems we need to use, so:
18 centerpieces -> 72 ivy stems
16 centerpieces -> X ivy stems
18/16 = 72/X
X = 16*72/18 = 64
He needs to use now 64 ivy stems to maintain the ratio.
