Answer:
5625in²
Step-by-step explanation:
Area of the plate = πr²
625π = πr²
625 = r²
r = √625
r = 25in
If the radius of the plate is tripled, then the new radius will be 3(25) = 75in
New Area = π(75)²
New Area = 5625π in²
If the radius is tripled, the new area of the plate is 5625in²
The correlation coefficient is -0.87; strong correlation
<h3>How to determine the correlation coefficient?</h3>
The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
<u>X Values</u>
- ∑ = 27.1
- Mean = 2.71
- ∑(X - Mx)2 = SSx = 22.569
<u>Y Values</u>
- ∑ = 89
- Mean = 8.9
- ∑(Y - My)2 = SSy = 778.9
<u>X and Y Combined</u>
- N = 10
- ∑(X - Mx)(Y - My) = -114.19
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
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A cross-section is the shape that would be exposed when cutting straight through a 3-D object. for example, cutting horizontally through a regular cone would expose a circle.
an intersection is where 2 or more shapes (does not matter how many dimensions) overlap. for example, the point at which two lines overlap is the intersection. or the area that two overlapping circles share is the intersection.
Your anwer is C)<span>f(x) = 467(5 to the one fourth power)4x</span>
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
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