the Given data
*The given point is (-1, -5)
*The given scale factor is 5
The image of -1 - 5 after dilation by a scale factor of 5 centered at the origin is given as

Thus, the image after dilation by a scale factor of 5 centered at origin is (-5, -25)
Answer:
The answer to the expression in simplest form is:

Step-by-step explanation:
Given the function

solving to get the simplest form




Thus, the answer to the expression in simplest form is:

Answer:
Step-by-step explanation:

the error was in not take the root of the number correctly
the student assumes that the root of 144 was equal to 72
Answer:
73.90%
Step-by-step explanation:
Let Event D=Defective, D' = Non Defective
Let Event N=New Machine, N' = Old Machine
From the given information:

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.
i.e. 

Using Baye's Law of conditional Probability

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.