Expand the numerator as
Then in the limit,
What number are listed in the stem and leaf plot above
1 answer:
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f(x - n) - shift n units to right
f(x + n) - shift n units to left
f(x) + n - shift n units up
f(x) - n - shift n units down
Look at the picture.
Answer:
Answer:
a. 4.05 b. 3.84 c. 1.2475 and 1.1344 d. 1.1169 and 1.0651 e. We can say that the overall job satistaction of senior executives and middle managers is about 4; however, there is more variability in the job satisfaction for senior executives than in the job satisfaction for middle managers.
Step-by-step explanation:
a. (1)(0.05)+(2)(0.09)+(3)(0.03)+(4)(0.42)+(5)(0.41) = 4.05
b. (1)(0.04)+(2)(0.1)+(3)(0.12)+(4)(0.46)+(5)(0.28) = 3.84
c. We compute the variances as follow: = 1.2475 and
= 1.1344
d. The standard deviation is the squared root of the variance, therefore, we have and
e. The expected value of the job satisfaction score for senior executives is very similar to the job satisfaction score for middle managers. We can say that the overall job satistaction of senior executives and middle managers is about 4; however, there is more variability in the job satisfaction for senior executives than in the job satisfaction for middle managers.
We have the following function that is a quadratic function:
So the graph of this function is shown in the figure below. This is a parabola as you can see. The roots of this functions, that is, the x-intercepts are:
As you can see in the figure. This function decreases from
and increases from 
Finally, it is important to note that the vertex is the point:
The answer is the second graph.
So the graph of this function is shown in the figure below. This is a parabola as you can see. The roots of this functions, that is, the x-intercepts are:
As you can see in the figure. This function decreases from
Finally, it is important to note that the vertex is the point:
The answer is the second graph.