Answer:
95.86%.
Step-by-step explanation:
Problems of normally distributed samples can be 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:
This probability is the pvalue of Z when 
subtracted by the pvalue of Z when 
. So
X = 0.65
has a pvalue of 0.9793
X = 0.55
has a pvalue of 0.0207
So this probability is 0.9793 - 0.0207 = 0.9586 = 95.86%.
<h3>
Answer: 17.25 dollars</h3>
=======================================================
Explanation:
15% of 15 = 0.15*15 = 2.25
The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars
------------
As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:
1.15*15 = 17.25
This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15
Answer:
Area of shaded region = 134.13 square feet
Step-by-step explanation:
Area of the shaded region = Area of square - Area of circle
Answer:
Below.
Step-by-step explanation:
Convert from cm to inch divide by 2.54. 75/2.54= 29.5276...
Rounded to: 29.53 inches.
