<span>
A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):
Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6
{a} </span>→→→→1/2
<span>{b} </span>→→→→1/3
<span>{c} </span>→→→→1/6
<span>{a,b} </span>→→→→1/2 + 1/3 = 5/6
<span>{a,c} </span>→→→→1/2 + 1/6 = 2/3
<span>{b,c} </span>→→→→1/3 + 1/6 = 1/2
<span>{a,b,c} </span>→→→→1/2 + 1/3 + 1/6 = 1
<span>{∅} </span>→→→→0 =0
Answer:
Option C is correct
76 feet
Step-by-step explanation:
Area of square(A) is given by:

where, s is the side of the square.
As per the statement:
A square ceiling has an area of 360 square feet.
⇒A = 360 square feet.
then;

⇒
Perimeter(P) of square is given by:

then;

Therefore, 76 feet molding does he need.
Answer:
4. About 2,700 in2
Step-by-step explanation:
The area of a circle (
), measured in square inches, is directly proportional to the square of its diameter (
), measured in inches. That is:


Where
is the constant of proportionality, dimensionless.
In consequence, the following relationship between circles A and B is obtained:

The area of the circle B is now cleared:

Given that
,
and
, then:


Therefore, the correct answer is 4.