Answer:
0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.
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 question, we have that:

Find the probability that the diameter of a selected bearing is greater than 85 millimeters.
This is 1 subtracted by the pvalue of Z when X = 85. Then



has a pvalue of 0.7486.
1 - 0.7486 = 0.2514
0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.
Answer:
Ratio of circumferences: 
Ratio of radii: 
Ratio of areas: 
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is 
- The circumference of Circle L is 
Therefore, the ratio of their circumferences would be:
⇒
when simplified
The formula for circumference is
, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is
, or
, then its radius is
.
If the circumference of Circle L is
, then its radius is
, which is 2.
Therefore the ratio their radii would be:
⇒
⇒
when simplified
The formula for area is:

First, let's find the area of Circle K:

Now, let's find the area of Circle L:

Therefore, the ratio of their areas would be:
⇒
⇒
⇒
when simplified
I hope this helps!
A complex fraction is a fraction with a mixed number, or in it's numerator(Top number) or denominator(Bottom number) or both.
Answer:
13/36 or 0.361
Step-by-step explanation: