An investigation into subways foot-long sandwiches, found at some sandwiches measured 11 3/4 inches. What is the percent ever for those sandwiches from the advertise length?
To find the percentage error, we can follow these steps:
1. Calculate the actual length of the sandwich by converting the mixed number 11 3/4 to an improper fraction:
11 3/4 = (11*4 + 3)/4 = 47/4
2. Calculate the percentage error by subtracting the actual length from the advertised length (12 inches in this case), dividing it by the advertised length, and multiplying by 100:
Percentage error = [(advertised length - actual length) / advertised length] * 100
= [(12 - 47/4) / 12] * 100
= [(48 - 47/4) / 48] * 100
= [ (192 - 47) / 192 ] * 100
= (145/192) * 100
= 75.52%
Therefore, the percentage error for the foot-long sandwiches that measured 11 3/4 inches is approximately 75.52% off from the advertised length.