Step-by-step explanation:
Range of the following:
-3,-2,1
Answer:
2496 cubic feet
Step-by-step explanation:
Dimension of storage unit 13 ft x 16 ft x 12 ft.
Since there are three sides it can be safely assumed that storage unit is rectangular in shape.
Volume of rectangular body is given by length * width * height
Using the above formula in the given dimension we have
volume of storage unit = length of storage unit * width of storage unit * height of storage unit
volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet
Answer:
248.96
Step-by-step explanation:
From this regression output we have the MS Residual or mean squared error to be equal to 61983.1
the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.
= 248.96
the standard error of the estimate = 248.96
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Answer:
2. B) The events have a strong positive linear correlation.
1. C) Find the slope using the slope formula:
Step-by-step explanation:
2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.
1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.
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Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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