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Molodets [167]
3 years ago
13

Define the following terms using your own words. (2-3 sentences only)

Mathematics
1 answer:
sergejj [24]3 years ago
8 0

Answer:

  1. Frequency: the rate at which something occurs over a particular period of time or in a given sample.
  2. Class size :Class size is the average number of students per class, calculated by dividing the number of students enrolled by the number of classes..
  3. O give :Ogive is the curve which is constructed by plotting cumulative frequency data on the graph paper, in the form of a smooth curve.
  4. Variance: The term variance refers to a statistical measurement of the spread between numbers in a data set.
  5. Range: The range, the difference between the largest value and the smallest value.
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Part A
The given line passes through (-2,2) and it is parallel to the line

4x - 3y - 7 = 0


We need to determine the slope of this line by writing it in slope -intercept form.


3y = 4x - 7


y =  \frac{4}{3} x -  \frac{7}{3}
The slope of this line is
\frac{4}{3}


The line parallel to this line also has slope

m =  \frac{4}{3}


The equation is

y =  \frac{4}{3} x + c


We substitute (-2,2)

2 =  \frac{4}{3}( - 2)  + c


c = 2 + \frac{8}{3}  =  \frac{14}{3}


The required equation is


y =  \frac{4}{3} x + \frac{14}{3}


PART B


The given line is


4x - 3y - 7 = 0




The slope of this line is
\frac{4}{3}


The slope of the line perpendicular to it is

m = -  \frac{3}{4}

The equation of the line is

y =  -  \frac{ 3}{4} x + c




We substitute the point, (-2,2)



2=  -  \frac{ 3}{4} ( - 2) + c


2=  \frac{ 3}{2}  + c



c = 2 -  \frac{3}{2}  =  \frac{1}{2}


The equation of the perpendicular line is


y=  -  \frac{ 3}{4} x +  \frac{1}{2}
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