Answer: 0.0158
Step-by-step explanation:
Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.
According to the given information we have,
Sample size : n= 1000
Sample proportion:
The standard error for proportion is given by :-
[Rounded to the nearest four decimal places.]
Hence, the standard error for the confidence interval = 0.0158
Answer: For every 1 can of red paint, the number of yellow paints used by the painter is and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by
So, for every 1 can of red paint, the number of yellow paints used by the painter is
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be
Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.
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.
