From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5
Hello,
In Q5. Being a straight line the angles are supplementary to each other.
And x = 70°
In Q6.
The angles sum up to 90° , so 25x + 30° = 90
25x = 60°
x= 60°/25 = 2.4°
Hope this helps.
Move the decimal point to the right the number of places equal to the number of repeating digits. Subtract the original number. (Digits after the first instance of the pattern will be canceled.) Divide the result by a number of 9s equal to the number of repeating digits. Simplify the result.
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Example: 5.3181818_18
There are 2 repeating digits, so we subtract ...
... 531.8_18 -5.3_18 = 526.5
and divide by 99 . . . . . . two 9s, one for each of the two repeating digits
... = 526.5/99 = 5625/990 = 117/22 = 5 17/22
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More formally, if S is the value of the original number, and it has n repeating digits, you compute
.. (S·10^n - S)/(10^n -1) = S(10^n -1)/(10^n -1) = S
Just find the volume of a triangular prism.
volume=1/2*length*width*height.
Slope is 2/3
0= 3x - 2
Then move the variables
-3x = -2
Divide both sides
X = 2/3