Answer:
P(Y=1|X=3)=0.125
Step-by-step explanation:
Given :
p(1,1)=0
p(2,1)=0.1
p(3,1)=0.05
p(1,2)=0.05
p(2,2)=0.3
p(3,2)=0.1
p(1,3)=0.05
p(2,3)=0.1
p(3,3)=0.25
Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)
P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)
P(X=3)=p(3,1) +p(3,2) +p(3,3)
P(X=3)=0.05+0.1+0.25=0.4

Hence P(Y=1|X=3)=0.125
Answer: 
Step-by-step explanation:
You need to analize all the information given in the exercise.
You know that the actual height of the T-rex on the projector lens is the following:

The height of the projected T-rex is:

Make the conversion from meters to centimeters:

Therefore, the scale factor will be:

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

Answer:
k = 6
Step-by-step explanation:
14k=84
k = 84/14
k = 6
to check the equation:
14k ..we found that k is 6, so replace k with 6
14(6)
84 ......checked.
9514 1404 393
Answer:
A side of the triangle is bisected
Step-by-step explanation:
The median of a triangle connects a vertex to the midpoint of the opposite side. That is, it bisects the side it meets:
A side of the triangle is bisected
_____
<em>Comment on other choices</em>
A median will be an angle bisector only if the triangle is isosceles. Likewise, it will only be perpendicular to the side if the triangle is isosceles.
There are several points called "center" of a triangle, including the centroid (on the median), the incenter, the circumcenter, and the orthocenter.
Answer:
y can be anything smaller than x
Step-by-step explanation:
because i said it was