What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?
1 answer:
Answer:
y = -5x + 15
Step-by-step explanation:
We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.
We can determine a slope from the two given points by calculating a Rise/Run. Starting at (2,5) and going to (3,0):
Rise = (0 - 5) = -5
Run = (3-2) = 1
Rise/Run = Slope, m) = -(5/1) or -5
Now we have y = -5x + b
To find b, enter either of the two points and solve for b. I'll use (3,0), because I know my zero multiplication and addition tables by heart.
y = -5x + b
0 = -5(3) + b
b = 15
The equation becomes <u>y = -5x + 15</u>
See attachment.
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Answer:
The correct option is Mean and standard deviation.
Step-by-step explanation:
The data set provided, arranged in ascending order is:
S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}
Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When she returned, they found out she actually has 9 siblings.
So, the new data set is:
X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}
The mean of a data set is the average value representing the entire data.
The median is the middle value of the data set.
The inter-quartile range is the difference between the first and the third quartile.
The standard deviation is the value that represents how dispersed the data values are.
From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.
So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.
Thus, the correct option is Mean and standard deviation.