Closure property: If a and b are real numbers, a+b is also a real number.
- Associative property: a+(b+c) = (a+b)+c.
- Commutative property: a+b = b+a.
- Additive identity: a+0 = a.
- Additive inverse: a + (-a) = 0.
For Multiplication -
Answer:
Figure A - hexagon
Figure B - triangle
Figure C - rectangle
Figure D - octagon
Step-by-step explanation:
If figure B has 3 vertices (angles), then that means it is a triangle (3 sides)
So that means figure A has 6 sides, (hexagon)
And figure D has 8 vertices, so 8 sides (octagon)
And if C has half as many, that would be 4 (rectangle)
Answer:
8 marbles
Step-by-step explanation:
Since Carl has 7 times as many marbles as Bill (who is the base unit), Carl's number of marbles is equal to 7 units.
7 units = 56
1 unit =
Bill has 8 marbles.
Answer:
see explanation
Step-by-step explanation:
Calculate C by adding corresponding components of A + B
C = ![\left[\begin{array}{ccc}4\\-7.5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C-7.5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2.5%5C%5C5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-2.5%5C%5C-7.5%2B5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}1.5\\-2.5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1.5%5C%5C-2.5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The error made by Tnaya in constructing the box plot is the first quartile and third quartile depicited is wrong.
<h3>What is a box plot?</h3>
A box plot is used to study the distribution and level of a set of data. The box plot consists of two lines known as whiskers and a box. The first whisker represents the minimum value and the last whisker represents the maximum value.
On the box, the first line to the left represents the first quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the third quartile. 75% of the scores represents the third quartile.
For the data given, the:
- Minimum value = 12
- Maximum value = 22
- Median = 16
- First quartile = 11/4 = 2.75 = 13
- Third quartile = 3/4 x 11 = 8.25 = 23
To learn more about median, please check: brainly.com/question/20434777
