The resistances of then randomly selected 100-ohm resistors have been recorded: 79.9, 85.9, 87.0, 96.7, 107.4, 100.8, 115.4, 117.9, 98, and 102.6 ohms. The individual resistances are known to follow a normal distribution with a mean of 100 ohms and a standard deviation of 10 ohms. (a) Calculate the sample mean resistance associated with the ten resistors. (b) For a sample size of ten, find the probability of obtaining a sample mean as large as or larger than the one calculated in part (a). (c) For a sample size of ten, find the probability of obtaining a sample mean with a resistance between 95 and 105 ohms.

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Step-by-step explanation:

The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

Step-by-step explanation:

We know when two lines meet at a certain point, the point where they meet is called the point of intersection.

We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.

We are given the point (-1, 4) as the solution of the system of linear equations.

It means the two lines meet at x = -1, and y = 4.

In other words,

(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.

Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.

The 3rd graph indicates that the two lines meet at x = -1, and y = 4.

Hence, the point of intersection of 3rd graph is:

(x, y) = (-1, 4)

Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.