Answer:
See below.
Step-by-step explanation:
Addition: closed
Example: -5 + 10 = 5, and -5, 10, and 5 are all integers
Subtraction: closed
Example: 10 - 8 = 2, and 10, 8, and 2 are all integers
Multiplication: closed
Example: -4 * 7 = -28, and -4, -7 and -28 are all integers
Division: not closed
Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers
The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.
The set of integers is not closed under division because a division of integers does not always result in an integer.
The answer is 9:16 just add 9+7=16 and then we know out of the 16 nine were dogs so 9:16
Answer:
x = 18
A = 110
Step-by-step explanation:
Angles A and B are supplementary angles so they add to 180 degrees
A + B = 180
5x+20 + 9x -92 = 180
Combine like terms
14x -72 = 180
Add 72 to each side
14x-72+72 = 180+72
14x = 252
Divide each side by 14
14x/14 = 252/14
x =18
A = 5x+20
= 5*18 +20
=90 +20
= 110
Answer:
4.
- this shows that the height of 13 year old females in one class is less variable than the other class.
- this means that the height of students in class with range 6 may vary from person to person while that in class with range 3 maybe clustered around one another.
- we're expected to see students of almost same height in class ,with range 3, more than the students in class with range 6.
5.
arranging the values in ascending order
2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9
median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]
for n is even
= 1/ 2 [ 6th + 7th term]
= 1/ 2 [5 + 6]
= 5.5
mode = value with highest frequency or the value that appears most frequently In a given set of data.
mode =4, 6
because both 4and 6 appear 3 times in the given set of data which is the highest frequency.
