I’m really late this time I’m sure you are alr done with your I ready lol
Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.
The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
<h3>
What is probability distribution?</h3>
Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
- Probability distribution score: 1, 2, 3, 4,
- x probability: p(x) 0.06, 0.20, 0.48, 0.26
In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
Learn more about the probability distribution here;
brainly.com/question/26615262
There are 27 & 1/3 pencils in each box. Each student will get 3 pencils per year. There will be 16 pencils left over.
