Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively, .
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
If you go to sc and slide to filter you’ll find one that solves the problem
I ussually think of them as arrows telling me where to go.
if it is > you go ----->
if it is < you go <------
Hey!
----------------------------------------------------------------
We Know:
m∠AED = 34°
m∠EAD = 112°
----------------------------------------------------------------
Solution:
You notice 4 small triangles in both triangles. That shows that both triangles are the same.
The angles are the same for m∠BDC and m∠AED.
The angles are the same for m∠ADB and m∠EAD
----------------------------------------------------------------
Angles:
m∠BDC = 34°
m∠ADB = 112°
----------------------------------------------------------------
Congruent Angles:
m∠AED ≡ m∠BDC
m∠EAD ≡ m∠ADB
----------------------------------------------------------------
Hope This Helped! Good Luck!