Answer:

Step-by-step explanation:
The <u>width</u> of a square is its <u>side length</u>.
The <u>width</u> of a circle is its <u>diameter</u>.
Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.
<u>Formulas</u>



If the diameter is equal to the side length of the square, then:

Therefore:

So the ratio of the area of the circle to the original square is:

Given:
- side length (s) = 6 in
- radius (r) = 6 ÷ 2 = 3 in


Ratio of circle to square:

Answer:
So the answer for this case would be n=107 rounded up to the nearest integer
Step-by-step explanation:
Information given
the sample mean
the sample deviation
the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as estimator of the real population deviation the sample deviation for this case
/ The critical value for 99% of confidence interval is given by
, replacing into formula (b) we got:
So the answer for this case would be n=107 rounded up to the nearest integer
The answer is 9.92 pounds
The answer will be neither the bus nor the trains were running today. (D)