Part of the graph of the function f(x) = (x + 4) (x - 6) is shown below. A 2 Which statements about the function are truc? Selec
1 answer:
The true options include the following:
- The vertex of the function is at (1,–25).
- The graph is negative on the entire interval –4 < x < 6.
This is defined as a pictorial representation of data or variables in an organized manner.
Function f(x) = (x + 4)(x – 6)
Graph intersects the x-axis at points (-4,0) and (6,0).
x-coordinate of vertex = -4+6/2 = 1
y-coordinate of vertex = (1+4) (1-6) = 5(-5) = -25
The vertex is at the point (1,-25).
The graph is positive for all x< -4 or x>6.
The graph is negative for –4 < x < 6.
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Answer:
The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
427 had paid for coaching courses and the remaining 2733 had not.
This means that
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of students who get coaching on the SAT is (0.1232, 0.147).