Answer: x = 20
Step-by-step explanation:
Right angle = 90
90 - 47 = 43
43 - 3 = 40
40/2 = 20
Answer:
61
Step-by-step explanation:
Put 12 where n is, then do the arithmetic.
a(12) = -5 +6(12-1) = 61
_____
We assume you didn't really mean to show an equation for -a(n). If you did, then the term you want is -61.
If you need area of the trapezoids:
Area of parallelogram = 10×7 = 70 sq. units
Area of each trapezoid = 1/2 × area of parallelogram = 1/2 × 70 = 35 sq. units
Answer:
C. 
Step-by-step explanation:
You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in 
means that we are talking about a line.
This is how we solve this question by using the eliminating process.
(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line
(B. <em>B) </em>is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)
(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.
Therefore, the only option left is C. 
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