Perpendicular bisector theorem
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The value of x when the richter scale rating scale is 8.4 is 251188643.151
<h3>What is a richter scale?</h3>
A richter scale is a numerical scale that is used for expressing the magnitude of an earthquake in a geographical area
<h3>How the richter scale works?</h3>
The richter scale takes the amplitude of the earthquake's largest seismic as an input and calculate (and display) the magnitude of an earthquake in the geographical area using a logarithmic function
<h3>How to determine the value of x?</h3>
The formula of a richter scale is expressed as:
log(x) = n
Where n represents the scale rating of the scale
In this case, n = 8.4.
So, we have:
log(x) = 8.4
Express as an exponent
x = 10^8.4
Evaluate the exponent
x = 251188643.151
Hence, the value of x when the richter scale rating scale is 8.4 is 251188643.151
Read more about richter scale rating at
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Given:
μ = 70, the mean
σ = 10, the standard deviation
The random variable is x = 65.
Calculate the z-score.
z = (x - μ)/σ = (65 -70)/10 = - 0.5
From standard ables, obtain
P(x<5) = 0.3085 ≈ 30%
The score of 65 is in the 30th percentile.
Answer: 30th
