Answer:
90% of the variation in the dependent variable is explained by the independent variable.
Step-by-step explanation:
We are given the following in the question:
coefficient of determination = 0.9
We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.
Coefficient of Determination:
- The coefficient of determination is a measure that explains and predicts the dependent variable.
- It explains the variation in the dependent variable caused by the independent variable.
- The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.
Thus, 90% of the variation in the dependent variable is explained by the independent variable.
Let the position of the airport be A, the point 160 miles north be B, and the point 85 miles east of that (i.e. the location of the plane) be C. Then ABC forms a right-angled triangle.
<span>tan BAC = 85/160 </span>
<span>BAC = arctan (85/160) </span>
<span>= arctan 0.531 (approx.) </span>
<span>= 27.98° (approx.) </span>
<span>So C is N 27.98° E from A. </span>
<span>The plane should fly S 27.98° W to get to the airport.
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Answer:
<em>Solution: x=5</em>
Step-by-step explanation:
<u>Equations</u>
This is an equation in the form of a proportion or ratio:
To solve it, we eliminate the denominators by multiplying by both of them.
Multiply by (x+3)(4x):
Simplify both sides:
Operate:
Simplify:
Solve for x:
Solution: x=5
Answer:
is the slope
Step-by-step explanation:
rise over run