The correct answer is listed as (3/4) * (1/2) = 3/8. The probability that the dots lie on distinct edges is 3/8.
Probability is simply how likely something is to happen. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
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We know that there are 24 hours in one day. We are going to use this for the whole question. For each question we are going to do 24 hours multiplied by the decimal form of the percentage for that particular activity (we find the decimal value by moving the decimal twice to the left)
School: 24*.25 = 6 hours
Eating: 24*.1 = 2.4 hours
Sleep: 24*.4 = 9.6 hours
Homework: 24*.1 = 2.4 hours
Free time: 24*.15 = 3.6 hours
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The point of intersection is (4,10)
Step-by-step explanation:
Line K is represented by the equation

Line T goes through the points (-3,3) and (6,12), so its slope is

We can now find the equation of the line using

and using the point
, we get

So the equation of line T is

Now we can find the point of intersection between the lines K and T requireing that their y-coordinate is the same:

And substituting into one of the two equations to find the y-coordinate,

Therefore, the point of intersection is (4,10).
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Answer:
option a
Step-by-step explanation:
9(m-2) = 9(m)-9(2) okok
Step-by-step explanation:
A triangle has three angles that add up to 180°.
If we know two opposite angles are equal, like the triangle above, then we know that the third angle is equal as well.
Also, if opposite angles are equal, then we can assume that opposite sides are equal too.
1. So, since line RS is an angle bisector of triangle PRQ, angle P = angle Q by the reflexive property.
2. Since angle P = angle Q, triangle PRS and triangle QRS are congruent.
3. Because those two triangles are congruent, their hypotenuse, or longest sides, are congruent as well.
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