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.
Answer:
A
Step-by-step explanation:
To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )
inverse of y=(x-4)/5 is
5x = x -4
x = 5x + 4 so A works
Answer: x = {-4, -1, 2}
<u>Step-by-step explanation:</u>
q p
F(x) = x³ + 3x² - 6x - 8
Possible rational roots are: +/- {1, 2, 4, 8}
F(1) = (1)³ + 3(1)² - 6(1) - 8
= 1 + 3 - 6 - 8
= -10 <em>Since the remainder is not 0, then x = 1 is not a root</em>
F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8
= -1 + 3 + 6 - 8
= 0 <em>Since the remainder is 0, x = -1 is a root.</em>
Use synthetic division to find the remaining factor:
x = -1 → x + 1 = 0
-1 | 1 3 -6 -8
<u>| ↓ -1 -2 8 </u>
1 2 -8 0
(x + 1)(x² + 2x - 8) = 0
Next, factor the polynomial:
(x + 1)(x + 4)(x - 2) = 0
x + 1 = 0 x + 4 = 0 x - 2 = 0
x = -1 x = -4 x = 2
Answer:
∠A→∠D is and vertical angle of ∠B→∠E
Step-by-step explanation:
Answer:
To find the mean: Multiply midpoints by frequencies, add the subtotals and divide by the total of the frequencies.
Step-by-step explanation:
Put the results in numerical order (in a frequency table this will already be done)
Count the total amount of results and add one.
Divide this by 2 to find the the position of the middle result.
Find the middle result in the numerically ordered list or frequency table.
