Using correlation coefficients, it is found that that the correct option is given as follows:
The correlation would stay the same because the change in units for time would have no effect on it.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:
The correlation would stay the same because the change in units for time would have no effect on it.
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Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.
<h3>What is the length of segment AD?</h3>
The triangle ABC is a right angled triangle with segment AB being the hypothenuse.
We can therefore find this length using the Pythagoras Rule:
Hypothenuse ² = a² + b²
Hypothenuse ² = 28.6² + 23.2²
Hypothenuse ² = 1,356.20
Hypothenuse = √1,356.20
= 36.83
Length of AD:
= AB - BD
= 36.83 - 14.60
= 22.2
Find out more on the Pythagorean theorem at brainly.com/question/343682.
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The value of (f - g)(x) is -x² + 3x + 7.
<h3>What is Function?</h3>
The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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Answer:
Independent variable: amount of water
Dependent variable: growth of the plant
Step-by-step explanation:
In the statement "Julie notices that her plant grows one inch for every liter of water that it receives" it is implied that the growth of the plant is related proportionally to the amount of water it receives.
We know the amount of growth in function of the amount of water
The dependant variable, the result, is the growth of the plant.
Then, the independent variable is the amount of water, as it is the input to calculate the amount of growth.
A-10......C-he didn't notice that a domino has number that will equal 49 in multiplication but will not add up to be if its less than 4 dominos