Solution
Question 1:
- The formula for finding the mean score is that of the expected value formula. That is,
- Thus, the mean can be gotten as follows:
The mean score is 7.43
Question 2:
- The more students write the exam, the more the mean score will approach the theoretical mean score.
- The theoretical mean score is calculated above to be 7.43
- Thus, as more students write the quiz, their scores approach 7.43
The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The graph of the function;
f(x) = –(x + 3)(x – 1)
Now,
Graph of the function is shown in attached image.
Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).
Clearly, When x < -1
Take x = 0 < -1
The value of function;
f(x) = –(x + 3)(x – 1)
= - (0 + 3) (0 -1)
= -3 x -1
= 3
The function is positive.
Thus, The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
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