In a reliability test there is a 42% probability that a computer chip survives more than 500 temperature cycles. If a computer chip does not survive more than 500 temperature cycles, then there is a 73% probability that it was manufactured by company A. Let A be the event that the chip was "made by company A", and B be the event that a chip "survives 500 temperature cycles". That is A made by company A = " ", and B survives 500 temperature cycles = " ". What is the Probability that a computer chip is not manufactured by company A and does not survive more than 500 temperature cycles?

The probability is  16%

Step-by-step explanation:

From the  question we are told that  

     A  is the event that  the chip was "made by company A"

      B is  the event that a chip "survives 500 temperature cycles"

    The probability that a computer chip survives more than 500 temperature cycles is

     %

 The  probability that does not survive more than 500 temperature cycles and  it was manufactured by company A is  

The probability that the  computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as

Where are a A and B complements and  | represented AND operator  

  So  

substituting values

         16%

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

1) is right

step-by-step explanation: