Answer:
Slope of AB = 3
line p: y = 3x - 10
see attached for graph
Step-by-step explanation:
Given vertices:
- A = (1, 1)
- B = (2, 4)
- C = (4, 2)
<u>Slope of AB</u>
<u>Equation of line p</u>
Use point C (4, 2) and the slope of AB in the point-slope form of a linear equation, then simplify to slope-intercept form:
Answer:
It is not equivalent.
Step-by-step explanation:
You have to expand the brackets :
(x-4)(x+3)
= x(x) + x(3) - 4(x) - 4(3)
= x² + 3x - 4x - 12
= x² - x - 12
Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.
Answer:
The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).
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 .
In a sample of 500 adults, 345 had children.
This means that
99% 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 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).