Answer:
74.86% probability that a component is at least 12 centimeters long.
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:
Variance is 9.
The standard deviation is the square root of the variance.
So
Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
Answer:
7.9 or 79/10
Step-by-step explanation:
-12.166 / -1.54
12.166 / 1.54
7.9
Answer:
D sqrt( A ) sqrt(pi) / pi = r
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
To find r
Divide each side of the equation by pi
A / pi = pi r^2 /pi
A / pi = r^2
Take the square root of each side
sqrt(A / pi )= sqrt( r^2)
sqrt(A / pi )= r
We do not like leaving square roots in the denominator, so multiply by sqrt(pi)/sqrt(pi))
sqrt(A / pi ) *sqrt(pi)/sqrt(pi))
sqrt( A ) sqrt(pi) / pi = r
Answer:
I’m pretty sure the answer is a
Step-by-step explanation:
Psi stands for pounds per square-inch.
It is a measure of pressure, and is the equivalent pressure of putting one pound on a square-inch of area.
For example, someone weighing 180 pounds standing on his feet, with a footprint area of 72 square-inches would exert a pressure of 180 pounds/72 square inches = 2.5 pounds per square-inch, or 2.5 psi.
