<span>83.212121 or fraction form is </span>83 7/33<span> </span>
Answer:
The probability that a student earns a grade of A is 1/7.
Let E be an event and S be the sample space. The probability of E, denoted by P(E) could be computed as:
P(E) = n(E) / n(S)
As the total number of students = n(S) = 35
Students getting the grade A = n(E) = 5
So, the probability that a student earns a grade of A:
P(E) = n(E) / n(S)
= 5/35
= 1/7
Hence, the probability that a student earns a grade of A is 1/7.
Keywords: probability, sample space, event
Since you mentioned calculus, perhaps you're supposed to find the area by integration.
The square is circumscribed by a circle of radius 6, so its diagonal (equal to the diameter) has length 12. The lengths of a square's side and its diagonal occur in a ratio of 1 to sqrt(2), so the square has side length 6sqrt(2). This means its sides occur on the lines 
and 
.
Let 
be the region bounded by the line 
and the circle 
(the rightmost blue region). The right side of the circle can be expressed in terms of 
as a function of 
:
Then the area of this circular segment is
Substitute 
, so that 
Then the area of the entire blue region is 4 times this, a total of 
.
Alternatively, you can compute the area of in polar coordinates. The line becomes 
, while the circle is given by 
. The two curves intersect at 
, so that
so again the total area would be 
.
Or you can omit using calculus altogether and rely on some basic geometric facts. The region is a circular segment subtended by a central angle of 
radians. Then its area is
so the total area is, once again, .
An even simpler way is to subtract the area of the square from the area of the circle.
Answer:
Benjamin Franklin
Step-by-step explanation:
gfssffdesdghfedfftttgfssjjjjnvcvvb
Answer:
a=27×36
a=972 units²= or 972 square units
