Answer:
624
Step-by-step explanation:
the area of the triangles:
12*10 = 120
120/2 = 60
since there are 2 triangles of the same dimensions that make up the surface area 60 + 60 = 120
area of the rectangles:
13*14 = 182
since there are 2 rectangles of the same dimensions 182 + 182 = 364
The last rectangular:
10*14 = 140
add all areas:
120 + 364 + 140 = 624
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
Slope of the line is -1.
Step-by-step explanation:
Given points are,
(-5.5,6.1),(-2.5,3.1)
Here,

Slope = m = 
Putting values;

Slope of the line is -1.
Keywords: Slope, line
Learn more about slopes at:
#LearnwithBrainly
Answer:
r=2
Step-by-step explanation:
Divide diameter by 2 since the diameter is half of radius
4/2=r
r=2
The answer is D). A perfect square
b2 - 4ac > 0
Roots are real, unequal and rational.