11. For each table Ariella waits on at a restaurant, she is paid $4.00 plus 18% of the
1 answer:
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The standard deviation of the frequency distribution is 5.54
<h3>How to determine standard deviation?</h3>The table of values is given as:
x f(x)
0-3 13
4-7 13
8-11 10
12-15 11
16-19 0
20-23 3
Rewrite the table by calculating the class midpoints:
x f(x)
1.5 13
5.5 13
9.5 10
13.5 11
17.5 0
21.5 3
Start by calculating the mean using:
This gives
Evaluate
The standard deviation is then calculated as:
So, we have:
Evaluate
Solve
Hence, the standard deviation is 5.54
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A graphing calculator shows the x-intercepts of the expression on the left to be -1, 4, 7.
The real solutions to the cubic equation are x ∈ {-1, 4, 7}.
