The function f(x) is shown in this graph. The function g(x)=-2x-6. Compare the slopes
2 answers:
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Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [() × (
)] ÷ √ [Σ
× Σ
]
x = Data points in Data set x
y = Data points in Data set y
= Mean of Data set x
= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ × Σ
]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
Learn more about Correlation coefficient here -brainly.com/question/16455048
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Answer:
14.3 feet
Step-by-step explanation:
Let the height of the tree = x feet.
It is given that the horizontal distance from the base of tree = 10 feet and the angle of elevation to the nest is 55°.
So, we get the following figure.
As, we are obtaining a right angled triangle.
Using the trigonometric form for the angles of a right angled triangle, we get,
i.e.
i.e.
i.e.
i.e.
Hence, the height of the tree is 14.3 feet.
