Determine which system below will produce infinitely many solutions. −6x + 3y = 18 4x − 3y = 6 2x + 4y = 24 6x + 12y = 36 3x − y
2 answers:
Answer:
Option C is correct.
System of equation which will produce infinitely many solutions:
3x - y = 14
-9x +3y = -42
Step-by-step explanation:
From the options
Only equation which is infinitely many solutions is
3x - y = 14 ......[1]
-9x +3y = -42 ......[2]
For infinitely many solutions, we are looking for linearly dependent equations, which means one equation is an exact multiple or sub-multiple of the other.
Multiply [1] by -3 we get
or
-9x + 3y = -42 which is same equation as [2]
therefore. by definition of infinitely many solution,
equation 2 is -3 times(or multiple) of equation 1
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Answer:
The correct options are A and B.
Step-by-step explanation:
The Penguin Heights at City view Zoo (in cm) is:
S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}
Compute the mean and median of the data:
The mean and median are same.
Tis implies that the height of penguins are normally distributed.
So, either the mean or median could be the best measure of center.
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
Thus, the correct options are A and B.