I believe the answer is they are drawing an Octagon because a polygon has 5 sides add that by three it's an Octagon
Solve for
y
y in
5
x
−
y
=
8
5x−y=8.
y
=
5
x
−
8
y=5x−8
2 Substitute
y
=
5
x
−
8
y=5x−8 into
2
0
x
−
4
y
=
2
4
20x−4y=24.
3
2
=
2
4
32=24
3 Since
3
2
=
2
4
32=24 is not true, this is an inconsistent system.
Answer:
a) 3.3352 inches.
b) 8.2648 inches.
Step-by-step explanation:
When the distribution is normal, we use 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:

A. What is the minimum head breadth that will fit the clientele?
This is the 2nd percentile, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.




So the minimum head breadth that will fit the clientele is 3.3352 inches.
B. What is the maximum head breadth that will fit the clientele?
The 100-2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.




So the maximum head breadth that will fit the clientele is 8.2648 inches.