Answer:
Step-by-step explanation:
GIVEN: A square with base 
, a circle that perfectly fits inside square.
TO FIND: Approximate area of circle.
SOLUTION:
Consider the figure attached.
let the radius of circle be 
radius of circle 
Area of circle 
Hence the area of circle that perfectly fits inside the square is
To solve for the area of a triangle you use the formula A=b*h/2. The base for this triangle is 4 and the height is 8. Take 4*8 which is 32 and divide that answer in half to get 16 which is your answer.
angle EPF = angle DPG
=> 4x + 48deg = 7x
=> 3x = 48 deg
=> x = 16
=> angle EPF = 4(16) +48 = 112deg
Answer:
a. P(E) = 1033/ 2851=0.3623
P(R) = 854/2851=0.2995
P(D) = 964/2851=0.3381
P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004
(d) 0.423 158
Step-by-step explanation:
a. P(E) = 1033/ 2851=0.3623
P(R) = 854/2851=0.2995
P(D) = 964/2851=0.3381
(b) Are events E and D mutually exclusive?
Yes these events are mutually exclusive. If students are deferred they may be admitted later but not early. Mutually Exclusive or disjoint events do not occur at the same time.
P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004
(c) For the 2,375 students who were admitted, the probability that a randomly selected student was accepted during early admission is
P(E) = 1033/ 2851=0.3623
P(E) + P(D for later admission) =0.3623 + 18%*0.3381
=0.3623 + 0.0609 = 0.423 158
