What is the equation of a circle with its center at (−6,−3) and a radius of 12?
2 answers:
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Answer:
a) 80% probability that x lies between 7 and 27.
b) 28% probability that x lies between 6 and 13.
c) 44% probability that x lies between 9 and 20.
d) 28% probability that x lies between 11 and 18.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.
Uniform distribution from a = 4 to b = 29
(a) Find the probability that x lies between 7 and 27.
So
80% probability that x lies between 7 and 27.
(b) Find the probability that x lies between 6 and 13.
So
28% probability that x lies between 6 and 13.
(c) Find the probability that x lies between 9 and 20.
So
44% probability that x lies between 9 and 20.
(d) Find the probability that x lies between 11 and 18.
So
28% probability that x lies between 11 and 18.
Applying the segment addition theorem, the length of line segment VW is: 2 units.
<h3>What is the Segment Addition Theorem?</h3>The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.
UV = 8x
VW = x+1
UW = 10
UV + VW = UW (segment addition theorem)
Substitute the values
8x + (x + 1) = 10
Open bracket
8x + x + 1 = 10
Combine like terms
9x + 1 = 10
Subtract 1 from both sides
9x + 1 - 1 = 10 - 1
9x = 9
Divide both sides by 9
9x/9 = 9/9
x = 1
VW = 8x + (x + 1)
Plug in the value of x
VW = x + 1
VW = 1 + 1
VW = 2 units.
Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.
Learn more about the segment addition theorem on:
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