Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
Answer:
d
Step-by-step explanation:
100x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
100x² - 1
= (10x)² - 1²
= (10x - 1)(10x + 1) → d
Answer:
f. sqrt 7 meters
Step-by-step explanation:
we use Pythagoras' theorem here,
let the unknown side be x,
therefore,
=> 3² + x² = 4²
=> x² = 16 - 9
=> x = √7 m
You have to consider the “ends” of the x-axis, the far right (for infinitely large values of x) and left (for infinitely small values of x) of the graph.
From the diagram above you can see that:
- When
then
(notice that as the values of x get smaller and smaller, the graph gets closer and closer to the line y=1); - When
then
(notice that as the values of x get larger and larger, the graph gets closer and closer to the line y=1).
Answer: correct choice is D.
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