Answer: 21
Step-by-step explanation:
Given : The scores on the midterm exam are normally distributed with
Let X be random variable that represents the score of the students.
z-score: 
For x=82
For x=90
Now, the probability of the students in the class receive a score between 82 and 90 ( by using standard normal distribution table ) :-
Now ,the number of students expected to receive a score between 82 and 90 are :-
Hence, 21 students are expected to receive a score between 82 and 90 .
Benny started with 55 five cards. In order for his dog to have eaten half his cards and end up with 30 cards, that would mean he had 60 cards. Mind you, he had bought 5 more the day before his dog ate them. I hope that makes sense
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer: x = 3
Step-by-step explanation:
-5 -x = -8
-× = -8 + 5
-x = -3
x = 3
The graph of f^-1 (x) is
called the inverse function of f (x). The relationship between the two is that the
point (x,y) is on the graph of f (x) if and only if the point (y,x) is on the
graph of f^-1 (x).
This means that if the point
(2, 7) is on f (x), therefore the point (7, 2) is on f^-1 (x).
<span>Answer: (7, 2)</span>
