Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
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:

Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.




Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.




<span>Los minerales se consideran gemas si son raros , clara y brillante.
</span>
X-10>15.........................................
Answer:x=7
y=2 5/6
Step-by-step explanation:
6(x-5)=12
6x-30=12
6x=12+30
6x=42
6x/6=42/6
x=7
6y-5=12
6y=12+5
6y=17
6y/6=17/6
y=2 5/6
Answer:
a.) x = -1.5, 1.5
b.) x = 2
c.) x = 1.5
d.) x = -1, 1
e.) x = -0.943, 0.943
f.) x = -0.447, 0.447
g) x = -0.75
h.) x = -5
You can plug all these equations on Desmos