Two lines, R and M, are represented by the following equations:
2 answers:
Answer: The correct option is (C) infinitely many solutions.
Step-by-step explanation: The representations of two lines 'R' and 'M' are given by
We are to select the TRUE statement about the solution to the above set of equations.
Multiplying equation (ii) by 2, we have
From equations (i) and (iii), we can conclude that
the equations for line 'R' and line 'M' are same, and hence their graph is the same straight line as shown in the attached figure.
Therefore, each point on the lines is a solution to the given system, because both the lines intersect at each and every point that lies on the lines.
For example, (0, 9), (9, 0), (4, 5), etc. are solutions to the system.
Thus, there are infinitely many solutions.
Option (C) is correct.
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Answer:
(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.
(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.
(a)
Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:
*Use a standard normal table.
Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.
(b)
A sample of <em>n</em> = 246 is selected.
Compute the probability that a sample mean is between 158.6 and 159.2 as follows:
*Use a standard normal table.
Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.