Answer:
Top 10%: 5.35 millimeters
Bottom 10%: 5.17 millimeters
Step-by-step explanation:
Problems of normally distributed samples can be 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:

Top 10%
X when Z has a pvalue of 1-0.1 = 0.9. So X when Z = 1.28.




Bottom 10%
X when Z has a pvalue of 0.1. So X when Z = -1.28




Answer:
y = 2x-13
Step-by-step explanation:
The equation for a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
We know a point so we have a y and an x, so we can solve for b
-1 = 2(6) +b
-1 =12+b
Subtract 12 from each side
-1-12 = 12-12+b
-13 =b
Substitute this into y = 2x+b
y = 2x-13
If you would like to simplify <span>4 + (-3) - 2 * (-6), you can do this using the following steps:
</span><span>4 + (-3) - 2 * (-6) = 4 - 3 + 2 * 6 = 1 + 12 = 13
</span>
The correct result would be 13.
Use the app (Socratic) and just take a picture of that question and it will give you the answer