The ideal length of a particular metal rod is 35.5. The measured length may very from the ideal length by a most 0.035cm What is the range of acceptable length for the rod?

Idea length (x) = 35.5 cm

Variance = 0.035 cm

Acceptable lengths: ideal length +/- variance = 35.5 +/-0.035 = 35.465 cm to 35.535 cm

The acceptable range of lengths: 35.465 ≤ x ≤ 35.535

Step-by-step explanation:

Since it can vary by 0.035 cm, the "measured length" can be either 0.035 cm MORE THAN the ideal length or 0.035 cm LESS THAN the ideal length.

Lower bound, thus, can be 35.5 - 0.035 = 35.465 cm

Upper bound, thus, can be 35.5 + 0.035 = 35.535 cm

If we let measured length be x, then we can write the range as:

cm

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this