To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
a-
of acne employees receive raises.
b-
of those who receive raises also receive bonuses.
2. Therefore, you must multiply both fractions, as following:

3. Now, simplify the expression:

The answer is:
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.
Answer:
The height of the water is increasing at a rate of 0.05m/min.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder, with radius r and height h, is given by:

Radius 5 m
This means that
, and so:

How fast is the height of the water increasing?
We have to differentiate V and h implictly in function of t. So

Being filled with water at a rate of 4 m3/min
This means that
. The questions asks
. So




The height of the water is increasing at a rate of 0.05m/min.
9514 1404 393
Answer:
2√3
Step-by-step explanation:
Maybe you want the quotient ...
