Whats the GCF of x^6 and x^4
1 answer:
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Answer:
an apparent solution that does not satisfy the original equation
Step-by-step explanation:
Usually, an extraneous solution is introduced by the solution process. Sometimes it takes the form of multiplying an equation by 0, often the result of eliminating the denominators of rational functions.
Other times, it takes the form of adding branches to a function that are unintended or undefined. (Squaring a square root will often introduce "solutions" that require the square root to be a negative value.) The attached graph shows that x=4 is an extraneous solution to ...
√x = x-6
It shows up when the equation is squared:
x = x² -12x +36 ⇒ (x -9)(x -4) = 0
The "solution" x=4 is extraneous because it does not satisfy the original equation.
As in this graphed example, using graphical methods to find solutions can often avoid extraneous solutions.
Answer:
Step-by-step explanation:
Since the population standard deviation is unknown, and the sample standard deviation
, must replace it, the
distribution must be used for the confidence interval.
The sample size is n=8.
The degree of freedom is ,
.
With 95% confidence level, the (significance level) is 5%.
Hence with 7 degrees of freedom, . (Read from the t-distribution table see attachment)
The 95% confidence interval can be found by using the formula:
.
The sample mean is hours.
The sample sample standard deviation is hours.
We now substitute all these values into the formula to obtain:
.
We are 95% confident that the population mean is between 26.12 and 31.48 hours.
