Answer:
Range = $115
Variance = $1915.2857
Standard deviation = $43.764
Step-by-step explanation:
Given the data:
234 160 119 131 218 207 146 141
Arranging in ascending order :
119, 131, 141, 146, 160, 207, 218, 234
The range = maximum - minimum
The range = 234 - 119 = 115
The variance :
Σ(x - mean)²/n-1
The mean = Σx / n
The mean = 1356 / 8 = 169.5
Variance :
Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407
n - 1 = 8 - 1 = 7
Variance = 13407 / 7 = 1915.2857
Standard deviation = √variance
Standard deviation = √1915.2857
Standard deviation = $43.764
Answer:
the answer is C hope this helps you
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: 
In this case, the slope of the orange line is 
and that of the blue line is 
Then 
, it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
Answer:
Just like multiplication is adding the same number multiple times, dividing can be described as subtracting the same number multiple times.
Ex:
4 x 3 = 12
4 + 4 + 4 = 12
8/2 = 4
8 -2 -2 = 4
Answer:
Every whole number n can be written as a fraction of integers.
Step-by-step explanation:
Every whole number n can be written as a fraction of integers: x=x/1.
If we use 15 as an example, it would be 15 = 15/1. 15/1 is 15.
So whole numbers are rational
