Reflection of (-8,-2)
2 answers:
You might be interested in
<u>Given</u>:
The given graph passes through the points (-3,4) and (3,2)
The x - axis represents the years. The value x = 5, year 2015.
We need to determine the y - value for 2010.
<u>Slope</u>:
The slope of the line can be determined using the formula,
Substituting the points (-3,2) and (3,2), we get;
Thus, the slope of the line is
<u>y - intercept:</u>
The y - intercept in the graph is the point in the line that crosses the y - axis.
Thus, from the graph, it is obvious that the y - intercept is b = 3.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Thus, the equation of the line is
<u>The y - value for 2010:</u>
Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.
Hence, the value of x for 2010 is given by
Thus, x = 0 represents the year 2010.
To determine the y - value, let us substitute x = 0 in the equation , we have;
Thus, for 2010 the value of y is 3.
Answer:
a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.
Step-by-step explanation:
<u> Population:-</u>
<em>The totality of observations with which we are concerned, whether this number be finite or infinite is called population.</em>
<em>Given data population is 376 teachers at a university were female'</em>
<u><em>Sample:-</em></u>
A sample is a subset of a Population
sample of given data = 14teachers
The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.
<em /><em> = 3.72%</em>