A confidence interval tells us how many percents we are confident about the range of a parameter. In this problem, <span>a 95% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was (1.38, 1.92). That means we're 95% confident that the Americans spend from 1.38 hours to 1.92 hours per day on average relaxing or pursuing activities they enjoy. In other words, 95% of the samples of the same size would have a mean number of hours relaxing or pursuing activities they enjoy between 1.38 to 1.92.</span>
As you bring all the non-variable numbers over to the right side, it becomes 384 which you then will divide the 32 in x which gives us 12. so x=12
Given:
A regular polygon with three vertices and side 14 cm.
To find:
Area of the regular polygon.
Solution:
We know that, a regular polygon has equal sides and equal interior angles.
The given regular polygon has three equal sides, it means it is an equilateral triangle.
The area of an equilateral triangle is:

Where, a is the side length of the triangle.
Putting
, we get




Therefore, the area of given regular polygon is 84.9 cm².
Answer:
= -0.5 + 1.5i
Step-by-step explanation:
Given 3+i divided by -2i ⇒ 
By multiplying the numerator and the denominator by the conjugate of (-2i) which will be equal (2i)
So,
= 
We should know that: i = √(-1) ⇒ i² = -1
∴ 
∴
= -0.5 + 1.5i