Complete the square to transform the quadratic equation into the form (x – p)2 = q.
1 answer:
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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.
The solution to show the absolute value inequality is (-3,-2)
<h3>What is absolute inequality?</h3>An absolute value inequality is an expression with absolute functions as well as inequality signs
Interval = -3 to 2
The intervals are represented with open parenthesis, which shows that -3 and 2 are excluded values of the inequality.
So, we have:
-3 < x < 2
As an interval notation,
(-3,-2)
Hence, the solution to the absolute value inequality is (-3,-2)
Learn more about absolute value inequality here:
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