You need to find a common factor that both the
numerator
and denominator have. 16 and 12 have common divisible factors of 2 and 4(excluding 1, because 1 is self-defined but doesn't simplify values at all).
We use the highest factor, in this case, 4.
Divide 16 by 4 and 12 by 4.
16/4 = 4
12/4 = 3
We put 4 in place of the numerator and 3 in place of the denominator.
11. y=-1/3x-4
Plug the slope into m in y=mx+b and then plug in your point and solve for b. You get C
12. Parallel means it has the same slope or the same m, so the -1/2 stays the same and you plug that and your point into the y=mx+b and solve for b again. You get D, y=-1/2x-9
13. Perpendicular means that the slope is the opposite reciprocal so you flip it and multiply it by -1. You then plug that in for your slope and plug in your points and you get A, y=9x+13
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.
Common ratio = 8/2 = 32/8 = 4
10th term = a1*r^(n - 1) where a1 = 2 , r = 4 and n = 10
= 2 * 4^9
= 524,288
