Collins Middle School has 272 sixth grade students. If the sixth grade is 40% of the total school, how many students are in the
2 answers:
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Answer: If the left side and the right side of the equation are equal, the equations has infinitely many solutions.
Step-by-step explanation:
The options are not clear, so I will give you a general explanation of the procedure you can use to solve this exercise.
The Slope-Intercept form of the equation of a line is the following:
Where "m" is the slope and "b" is the y-intercept.
For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System of equations has Infinitely many solutions.
If you have the following system:
You can simplify the second one:
Then, both equations are the same line.
By definition you can also write the systemf making both equations equal to each other:
So, if the left side and the right side are equal, the equations has infinitely many solutions.
Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
<h3>What are the variance and standard deviation? </h3>In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.
2,400; 1,750; 1,900; 2,500; 2,250; 2,100
we need to find which of the following represents the numerator in the calculation of variance and standard deviation.
(225 + (–425
+ (–275
+ (325
+ (75
+ (–75
= 423,750
(650 + (–150
+ (–600
+ (250
+ (150
+ (–300
= 980,000
(250 + (–400
+ (–250
+ (350
+ (100
+ (–50
= 420,000
92416.60
The variance is 84000
The standard deviation is 290
mean = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
Learn more about variance;