Response:
C. 50.24 inches
Detailed explanation:
The area of a circle can be expressed with 
. To determine the circumference, knowing the radius is essential; thereafter, we can substitute that value into the circumference formula 
. Hence, to ascertain the radius, we observe that:
As a result, the circumference is:
, which approximates the choice C) 50.24 inches.
Hope this was beneficial!:)
Set A's standard deviation exceeds that of Set B. To explain, standard deviation reflects variation within data sets. Generally, a dataset with a narrower range will exhibit a smaller standard deviation. For Set A, the range is 25-1 = 24, while for Set B, it's 18-8 = 10. Given that Set A's range is bigger, we would anticipate its standard deviation to also be larger. Standard deviation is calculated as the square root of the average of the squared deviations from the mean. In Set A, the deviations are ±12, ±11, ±10, whereas Set B's deviations are ±5, ±3, ±1. We can reasonably conclude that the value for Set A will be greater without computing the RMS difference. Thus, Set A's standard deviation is larger compared to Set B.
From the question, we know that
a ballroom features a square dance floor, which has an area of 400 square feet.
The formula for the area of a square is the side squared. Hence, we can determine the side length. Taking the square root of both sides, upon increasing the side length by one foot, we arrive at a side length of 21 feet, which is not a perfect square. The area of 441 is indeed a perfect square and a rational number. Consequently, the true statements are A and E.
