Justification three common tangents
1 answer:
Three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.
<h3>How to illustrate the information?</h3>It should be noted that a common tangent simply means a line the bus tangent to more than one circle.
In this case, three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.
A diagram is attached to illustrate the tangent.
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Answer:
-4 and 4
Step-by-step explanation:
<u>Method 1</u>
Apply Difference of Two Squares Formula:
Given
Rewrite 16 as 4²
Therefore, and
<u>Method 2</u>
Given equation:
Add 16 to both sides:
Square root both sides:
Therefore, x = -4, x = 4
Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.