Answer:
Options D & E are independent
Step-by-step explanation:
For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0
A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.
B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.
C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.
D) A ∩ B = 0. They are mutually exclusive and thus they are independent.
E) A ∩ B = 0. They are mutually exclusive and thus they are independent.
Answer:52 ft.
Step-by-step explanation: If the area of the base of the pyramid is
169
ft
2
then each side of the base is
13
ft
long because the base of the pyramid is a square.
Length of the side,
s
=
√
169
=
13
Iif we take the area of a square
A
=
s
2
where
s
=
13
we get the area of the base to be
169
ft
2
thus proving that each side of the base is
13
ft
long.
So to find the perimeter of the base of the pyramid we use the formula:
P
=
4
s
where
s
=
13
ft
and thus,
p
=
4
⋅
13
ft
=
52
ft
The question is basically asking you to calculate the new volume of the box that is 12x 7.5 x 2.5inches and to see if it has a larger volume than 162.5 sqin.
If you calculate the volume you should get 225 square inches.