Median: 29
Range: 25
IQR: 14.5
Explanations:
**Median:**
(To find the median, we need to first order all the elements)
Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40
(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)
Median = (28 + 30)/2 = 58/2 = 29
**Range:**
(To find the range, you just have the subtract the smallest one from the largest)
Range = 40 - 15 = 25
**IQR:**
First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40
Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5
IQR = Q3 - Q1 = 33.5 - 19 = 14.5
Answer: The numbers are 14, 16 and 18.
Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.
Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.
Our equation now becomes;
a + a + 2 + a + 4 = 48
3a + 6 = 48
Subtract 6 from both sides of the equation
3a = 42
Divide both sides of the equation by 3
a = 14
Therefore, the numbers are 14, 16 and 18.
Answer:
y=-4/7
Step-by-step explanation:
7y/2=-2
multiply both sides by 2
7y=-4
divide both sides by 7
y=-4/7
Option C:
(11 + 8) + 1 = 11 + (8 + 1)
Solution:
Let us first define the associative property of addition.
<u>Associative property of addition:</u>
(a + b) + c = a + (b + c)
Option A: 5 + 3 = 3 + 5
This represents a commutative property of addition.
i.e. a + b = b + a.
So, it is not true.
Option B: 6 + 1 = 6 + 1
This is not under the property of associative.
It is not true.
Option C: (11 + 8) + 1 = 11 + (8 + 1)
(a + b) + c = a + (b + c)
This reflects the associative property of addition.
It is true.
Option B is the correct answer.
Hence (11 + 8) + 1 = 11 + (8 + 1) illustrates the associative property of addition.
