<h3>
Answer: D) Not binomial: there are more than two outcomes for each trial. </h3>
Explanation:
Replacement is being done, so each trial is independent. However, the outcomes are values from this set {0,1,2,3,4,5,6,7,8} which represent the number of red marbles chosen. Since we do not have two outcomes, we do not have a binomial distribution. If instead you made the outcomes {red, not red}, then you would have two outcomes and it would be a binomial distribution.
What triangles? there isn’t a picture of the triangles shown
1/2x+y=-6 y=3/5x+5
substitute
1/2x+3/5x+5=-6
11/10x+5=-6
11/10x=-11
11x=-110
x=-10
Follow PEMDAS.
You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.
so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.
Now you have the equation 2z-5z-18=-2z
Now combine like terms. 2z-5z= -3z
Now you have the equation -3z-18=-2z
Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z
Now you have -18= 1z
Now you divide. -18 divided by 1 is -18.
So your final answer will be -18=z
Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is 
of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, 
is of the distance from 
to 
, since the latter is the midpoint of the side opposite to . We know this because belongs to 
, so must be 
's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
Substituting 
into the equation gives us:
Solving for , we get:
(Multiply both sides of the equation by 
to get rid of 's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
