Answer:
The proportion of the variability seen in math achievement that can be predicted by math attitude is 0.78, the same value as the correlation coefficient.
Step-by-step explanation:
The correlation coefficient r between this two variables is found to be 0.78.
This coefficient can be calculated as:
where SSY' is the sum of the squares deviation from the mean for the predicted value and SSY is the sum of the squares deviation from the mean for the criterion variable.
Then, the value of the coefficient r is giving the proportion of the variability seen in the criterion value Y that can be explained by the predictor variable X.
Find the number of miles driven by subtracting the odometer readings:
74545 - 74233 = 312 miles driven.
Divide miles driven by gallons of gas used:
312 / 9 = 34.66 = 35 miles per gallon.
Answer:
(x-7) (x^2-5)
Step-by-step explanation:
x^3 -7x^2 -5x+35
Make 2 groups
x^3 -7x^2 -5x+35
Factor x^2 from the first group and -5 from the second group
x^2 (x-7) -5(x-7)
Now factor (x-7) out
(x-7) (x^2-5)
The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
<h3>Reflection of functions and coordinates</h3>
Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>
Given the exponential function below
f(x) = 5(0.8)^x
If the function f(x) is reflected over the x-axis, the resulting function will be
-f(x)
This means that we are going to negate the function f(x) as shown;
f(x) = -5(0.8)^x
Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
Learn more on reflection here: brainly.com/question/1908648
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Answer:
PEMDAS
Step-by-step explanation:
Using PEMDAS or the order of operations, you first multiply 2 by 6
2-2×6+3
2-12+3
Then you can go in any order since addition and subtraction take the same precedence.
-10+3=-7
