Ricki Charges $ 10.45 an hour for her new labor. This job took her 13 hours. What is the new total for the job, including materi
1 answer:
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Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:
You can notice that:
In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:
Substituting those values into the second equation and solving for "y", you get:
You can idenfity that:
Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:
If you substitute those values into the second equation and then you solve for "y", you get:
You can identify that:
Therefore, they are the same line.
Answer: ($3.055, $3.205)
Step-by-step explanation:
Given : Significance level :
Critical value :
Sample size : n= 36
Sample mean :
Standard deviation :
The confidence interval for population mean is given by :_
Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)
Answer:
The radius of the sphere is
Step-by-step explanation:
we know that
The volume of a sphere is equal to
In this problem we have
substitute and solve for r
simplify