Answer:
The confidence level for this interval is 99%.
Step-by-step explanation:
The margin of error M has the following equation.

In which
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level.
In this problem:

So



Looking at the z table,
has a pvalue of 0.995.
So the confidence level is:

The confidence level for this interval is 99%.
She has no more white ribbon because she exchanged it for yellow.
Given:
The point (7, 4) lies on a circle centered at the origin.
To find:
The equation of the circle and the radius of the circle.
Solution:
Distance formula:

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.




The standard form of the circle is
...(i)
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting h=0, k=0 and
in (ii), we get


Therefore, the equation of the circle is
and its radius is
.
Step-by-step explanation:
4x + 12 = 8 ➡ 4x = 8-12 ➡ 4x = -4 ➡ x = -1
because a negative number divided by a positive number is equal to a negative number.
Im pretty sure is equal to 12.8