Answer:
15.39% of the scores are less than 450
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:
What percentage of the scores are less than 450?
This is the pvalue of Z when X = 450. So
has a pvalue of 0.1539
15.39% of the scores are less than 450
Answer:
Perimeter of quadrilateral 
will be 
Step-by-step explanation:
Given quadrilateral 
is a reflection of quadrilateral over the line 
.
So, all the corresponding sides of both the quadrilateral should be equal.
Also, we can see from the diagram that 
As both image are reflection of same scale we can add corresponding sides.
So, the perimeter of will be
And we have 
Now, perimeter of will be 
Perimeter of quadrilateral is
After 2.0 years, the 4.0 mg sample decays to 2.0 mg.
After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.
And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.
So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.
Answer:
C: 200
Step-by-step explanation:
Just multiply 12.5 x 8 x 2 to get the answer.
