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.
I think it is a D I'm not really sure
Answer:
he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
Step-by-step explanation:
:)
Answer:
I believe Irrational numbers, That's the answer I used and got it correct!
Step-by-step explanation:
√72 = √4 * √18 = 2√18. Therefore her answer is incorrect.
√72 = √4 * √9 * √2 = 6√2.
Since √2 is approximately 1.41,
6 * 1.41 = 8.46 = 8.5 (nearest tenth).