Answer:

Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:

The only correct option is the probability of B which is 
All of them except B and C. Probabilities must add to 1 and none of the p's can be negative
Answer:
ABC is translated right 5 units and down 5 units
Step-by-step explanation:
The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!
Paralell means has same lsope
y=mx+b
m=slope
given
y=3x-5
slope=3
y=3x+b
find b
(3,1)
x=3
y=1
sub and find b
1=3(3)+b
1=9+b
minus 9 both sides
-8=b
y=3x-8 is equation
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.