The probability of drawing a red marble and then a green marble is:
P = 1/6.
<h3>How to find the probability?</h3>
In the jar we have a total of 16 marbles, such that:
- 10 are green.
- 2 are blue
- 4 are red.
First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:
p = 4/16 = 1/4
Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.
q = 10/15
The joint probability (first drawing red, then green) is given by the product between the individual probabilities:
P = p*q = (1/4)*(10/15) = 10/60 = 1/6
If you want to learn more about probability:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have

Isolate the variable y


The solution is the shaded area below the solid line
Is below because the symbol of the inequality is less
Is a solid line because the line is included in the solution
The equation of the solid line is 
To graph the solution find the intercepts
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0, x=6 --------> point (6,0)
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0, y=2 -------> point (0,2)
Graph the inequality
see the attached figure
It is centered at (h,k) --> (0,0) and has a radius 9
The equation of the circle is

Hope that helps!
Step-by-step explanation:
Statement:
2-) ∠BAC = ∠EDC
<em>Reason:</em>
Angles opposite to equal sides of a triangle are equal (Alternate Interior Angles Theorem)
Statement:
3-) AC = CD
<em>Reason:</em>
CPCTC ("Corresponding Parts of Congruent Triangles are Congruent")
Statement:
4-) ∠BCA = ∠DCE
<em>Reason:</em>
Vertical Angles Theorem (states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent)
Statement:
5-) triangle ABC = triangle DEC
ASA Postulate
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)
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