The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. to meet the specification, the resistance must be within the range 100±0.7 ohms. what proportion of gauges is acceptable? round your answer to four decimal places.

0.6827

Step-by-step explanation:

Given : The resistance of a strain gauge is normally distributed .

Population mean :

Standard deviation :

Let x be the random variable that represents the resistance of a strain gauge is normally distributed .

z-score :

To meet the specification, the resistance must be within the range 100±0.7 ohms i.e. (99.3,100.7).

For x = 100.7

For x = 99.3

By using the standard normal distribution table, The proportion of gauges is acceptable is given by:-

Hence, the proportion of gauges is acceptable=0.6827

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.