Kim Sperazo is a sign-language interpreter. She earns
2 answers:
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Answer:
1) The graph is as shown at the attached figure.
2) The line passes with (1,-3) and (2,-2)
Step-by-step explanation:
graph the line that passes with (3,-1) and has a y-intercept of -4
y-intercept is the value of y when x = 0
So, the line passes with (0 , -4)
The general form of the line y = mx + c
Where m is the slope and c is y-intercept
given y-intercept = -4 ⇒ ∴ c = -4
using the other point to find m
So, when x = 3 , y = -1
So, -1 = 3m - 4
Solve for m
3m = -1 + 4 = 3
m= 3/3 = 1
So, the equation of the line ⇒ <u>y = x - 4</u>
See the attached figure which represents the graph of the line
As shown at the graph the line passes through the points <u>(1,-3) and (2,-2)</u>
We have a sample that in fact represents the population.
We have to calculate the standard deviation of this population.
The difference between the standard deviation of a population comparing it to the calculation of the standard deviation of a sample is that we divide by the population side n instead of (n-1).
We have to start by calculating the mean of the population first:
Now, we can calculate the standard deviation as:
Answer: the standard deviation of this population is approximately 10.33