The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resistance exceeding 10.256 ohms and 5% having a resistance smaller than 9.671 ohms. What are the mean value and standard deviation of the resistance distribution? slader

Explanation:

Formula for the given probability is as follows.

            = 0.10

        = 0.10

According to the normal table area we have,

           P(z < 1.28) = 0.10

Hence,  

              .......... (1)

Also, the given probability is as follows.

            = 0.05

          = 0.05

Hence,    

                ....... (2)

Now, substitute the value of from equation (1) into equation (2) as follows.

              = 0.2

Putting the value of into equation (2) we will find the value of as follows.

                       =

                       = 10

Thus, we can conclude that the value of   is 0.2 and the value of is 10.      

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.