Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2. What can be concluded about the two dist
ributions?
Select each correct answer.
The distributions are similar.
The means-to-MAD ratio is 1.5.
The distributions are somewhat similar.
The means-to-MAD ratio is 3.
Pick more than one.
Select each correct answer.
The distributions are similar.
The means-to-MAD ratio is 1.5.
The distributions are somewhat similar.
The means-to-MAD ratio is 3.
Pick more than one.
1 answer:
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<h3><u>Question:</u></h3>
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
<h3><u>Answer:</u></h3>Dimensions of cylinder A are multiplied by to produce the corresponding dimensions of cylinder B
Cylinders A and B are similar solids.
The base of cylinder A has a circumference of units
The base of cylinder B has an area of units
Let "x" be the required factor
From given question,
Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B
Therefore, we can say,
The circumference of base of cylinder (circle ) is given as:
Where "r" is the radius of circle
Given that base of cylinder A has a circumference of units
Therefore,
Thus the dimension of cylinder A is radius = 2 units
<h3><u>Cylinder B:</u></h3>The area of base of cylinder (circle) is given as:
Given that, the base of cylinder B has an area of units
Therefore,
Thus the dimension of cylinder B is radius = 3 units
Thus dimensions of cylinder A are multiplied by to produce the corresponding dimensions of cylinder B
<h2>Hello!</h2>
The answer is:
The missing step is the step shown in the last option:
D.
To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:
Starting from the last step before the missing step, we have:
In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.
We must remember the following properties:
Now, finding the missing step, we need to find what to do in order to get the expression of the following step.
So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:
Hence, we found the the missing step is:
D.
Have a nice day!