3x-6/x-2
3(x-2)/x-2
3
3 is the simplified form
Answer:
22.5 pages per week
Step-by-step explanation:
Considering that After 2 weeks, he has read
45 pages, and after 6 weeks, he has
read 135 pages
Difference in weeks = 6-2=4 weeks
Difference in pages=135-45=90
Rate per week will be 90÷4=22½ pages per week
To prove this
If 1 week is 22½
2 weeks will be 2*22½=45
6 weeks will be 6*22½=135
Therefore, the reading rate is 22.5 or 22½ pages per week
Answer:
B. load-distance model
Step-by-step explanation:
A. trial and error
Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts
B. load-distance model
The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.
C. exponential smoothing
This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.
D.process control charts
The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.
E. mean absolute deviation (MAD)
The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.
A. true, the median of a data set is less resistant to outliers than the mean
If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length.
Hope this helps :)