Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:
Applying the given data:
If X is the number of correct responses in 100 guesses, the standard deviation of X is:
The standard deviation of X is 4.33 questions.
Answer:
Step-by-step explanation:
First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).
Using two pairs, (-7, -3) and (-8, -4),
m = 1
To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.
Thus:
-3 = (1)(-7) + b
-3 = -7 + b
-3 + 7 = b
4 = b
b = 4.
Replace y with f(x), m with 1 and b with 4 in y = mx + b.
The function would be: