Answer:
Following are the solution to this question
Step-by-step explanation:
Please find the complete question in the attached file.
In point a:
In point b:
In point c:
A large sample is a smaller error margin.
Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...
1 answer:
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Answer:
or 1.9099
Step-by-step explanation:
Look for y values at each of those given values of "x" and apply the slope formula. When x = pi. y = -1 so the coordinate is . When x = 3pi/2, y = 2 so the coordinate is
Plug those values into the slope formula:
You need a common denominator of pi:
Do the math on that to get a slope of
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon =
Therefore, angle at the center of a dodecagon = = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle =
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle =
=
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
Answer:
98.1, No does not contain, yes contains.
Step-by-step explanation:
Given that
sample size n =103
Sample mean = 98.1
sample std dev s = 0.56
a) the best point estimate of the mean body temperature of all healthy humans = sample mean =98.1
b) 99% confidence interval estimate of the mean body temperature of all healthy humans
We can use Z critical since sample size is large though sigma is not known
99% CI =
This does not contain 98.6
This sample does not represent the population, i.e. may be biased sample.
c) CI of population mean
= populaiton mean + /- margin of error
=(98.545, 98.656)
Yes contains 98.6