Hello,
Please, see the attached file.
Thanks.
Step-by-step explanation:
z^7/z^-14=21
z^21=21
Answer: the observer should consider to eliminate or to retake the third measure.
Explanation:
The four measures taken are 124.53, 124.55, 142.51 and 124.52.
As it can be easily seen, the third measure is much different from the other three. This means that something went wrong during the observation: it can be either the measure taken wrong or that the number was written wrong (if you switch the 2 and the 4 you get a number similar to the other ones).
If the third measure is not considered, an estimate of the mean would place it around 124.5, while if the outlier (the detatched number) is considered an estimate of the mean would increase to about 129.
Therefore, in order to obtain a more reliable mean, the observer should consider to eliminate or to retake the third measure.
A) A rational number that is between 9.5 and 9.7 could be 9.6 because it can be written as a fraction (in this case 9 6/10 or 9 3/5)
B) An irrational number could be the square root of 91 because it's value cannot be written as a fraction, as with all other square roots of non-perfect squares. sqrt(91) is about 9.54 rounded to the nearest hundredth.
Hope this helped!
Answer:

Step-by-step explanation:

Subtract x from both sides.


Square both sides.


Subtract x²-6x+9 from both sides.


Factor left side of the equation.

Set factors equal to 0.


Check if the solutions are extraneous or not.
Plug x as 2.

x = 2 works in the equation.
Plug x as 6.

x = 6 does not work in the equation.