Answer:
And for this case the confidence interval is given by:
Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal
Step-by-step explanation:
Let p1 and p2 the population proportions of interest and let and the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:
And for this case the confidence interval is given by:
Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal
Answer:
See attached for a graph
Step-by-step explanation:
We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.
The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...
(x, y) = (0, -8)
The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.
The second point you will put into your sine tool is ...
(x, y) = (8, -3)
We are given
f(x)=
g(x)=
\to find f o g, replace all the x in f(x) with g(x)
= Simplify by taking least common denominator and reciprocal.
Taking the least common denominator, we get
Taking reciprocal, we get
Simplifying the expression, we get
To find the domain of a composite function, we need to find the domain of f o g and the first function i.e g(x)
To find the domain of f o g, equate the denominator to 0
It means, domain is all real numbers except
Domain of g(x) is all real numbers except
combined domain is
Answer:
12
Step-by-step explanation:
The perimeter of quadrilateral A is 6+9+9+12 = 36. The shortest side of B is 2/6 = 1/3 of the shortest side of A, so the perimeter of B will be 1/3 of 36, or 12.