Answer:
The function has at least 1 zero within the interval [-2,5].
Step-by-step explanation:
The intermediate value theorem states that, for a function continuous in a certain interval
, then the function takes any value between
and
at some point within that interval.
This theorem has an important consequence:
If a function
is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:
(or viceversa)
Then the function f(x) has at least one zero within the interval [a,b].
We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval
[-2,5]
And we also know that the function changes sign at the extreme points of the interval:

Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that

The probability is 0.5
rounded off is just 0.50
19/20. All you have to do is divide them both of them by five and then you get your answer
The formula to find the area of a sector = Ф*r²/2
Ф to be in radian, here Ф=45° =π/4
sector = 1/2(π/4)x 100
sector = 39.27 ≈39.3° (B)