Hao dog ate 40 cans of dog food in 31 days. How many cans does Hao needs to buy for the next 6 dqys
2 answers:
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Answer:
The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -2 , 7)
To Find:
Equation of Line that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?
Solution:
..................Given
which can be written as
Where m is the slope of the line
∴
On Comparing we get
The Required line is Perpendicular to the above line.
So,
Product of slopes = - 1
Slope of the required line is -6
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get
The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is
The mean absolute deviation of the set of numbers is 5/4
<h3>How to determine the mean absolute deviation?</h3>The set of numbers is given as:
1 1/2, 0, 4 and 2 1/2
Rewrite the set of numbers as:
1.5, 0, 4 and 2.5
Calculate the mean of the set using:
= Sum/Count
So, we have:
= (1.5 + 0 + 4 + 2.5)/4
Evaluate
= 2
The mean absolute deviation is then calculated as:
M.A.D = 1/n * ∑|x - |
So, we have:
M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]
Evaluate the absolute difference
M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]
Evaluate the sum
M.A.D = 1/4 * 5
Evaluate the product
M.A.D = 5/4
Hence, the mean absolute deviation of the set of numbers is 5/4
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