A drawer contains black socks and white socks. 40% of the socks are black socks. A number generator simulates randomly selecting
10 socks from the drawer. The number generator is used 10 times and the number of black socks in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?
The number generator is not fair. It picked black socks half of the time.
The number generator is not fair. In three experiments, it picked black socks 50% of the time.
The number generator is fair. It picked the approximate percentage of black socks most of the time.
The number generator is fair. It picked black socks half of the time.
Which description is correct about the number generator being fair or not?
The number generator is not fair. It picked black socks half of the time.
The number generator is not fair. In three experiments, it picked black socks 50% of the time.
The number generator is fair. It picked the approximate percentage of black socks most of the time.
The number generator is fair. It picked black socks half of the time.
1 answer:
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<u>Given:</u>
The given equation is
We need to determine the extraneous solution of the equation.
<u>Solving the equation:</u>
To determine the extraneous solution, we shall first solve the given equation.
Applying the log rule , we get;
Again applying the log rule, if then
Thus, we have;
Simplifying the equation, we get;
Factoring the equation, we get;
Thus, the solutions are
<u>Extraneous solutions:</u>
The extraneous solutions are the solutions that does not work in the original equation.
Now, to determine the extraneous solution, let us substitute x = 3 and x = -7 in the original equation.
Thus, we get;
Since, we know that is undefined.
Thus, we get;
Undefined = Undefined
This is false.
Thus, the solution x = 3 does not work in the original equation.
Hence, x = 3 is an extraneous solution.
Similarly, substituting x = -7, in the original equation. Thus, we get;
Simplifying, we get;
Undefined =
Undefined = 3.06
This is false.
Thus, the solution x = -7 does not work in the original solution.
Hence, x = -7 is an extraneous solution.
Therefore, the extraneous solutions are x = 3 and x = -7