Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.
Answer:
the fraction of the USB drive when one video file use is 10%
Step-by-step explanation:
The computation of the fraction of the USB drive when one video file use is given below:
= USB drive × number of video file ÷ number of video file
= half × 1 ÷ 5
= 0.5 × 1 ÷ 5
= 0.10
= 10%
Hence, the fraction of the USB drive when one video file use is 10%
You forgot to load the picture...
Answer: The length of the square is 
Step-by-step explanation:
By definition, the area of a Regular polygon can be calculated with the following formula:
Where "s" the length of any side of the polygon and "n" is the number of sides .
According to the information given in the exercise, you know that:
Since an hexagon has six sides, you know that:
Therefore, its area is:
The formula to find the area of a square is:
Where "s" is the length of any side of the square.
Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".
Then you get:
