A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained
1 answer:
Answer: = 0.89
Step-by-step explanation:
Coefficient of determination is represented by . This tells us that how much of the variation in the dependent variable is explained by the independent variable.
It is the ratio of explained variation by the independent variables to the total variation in the dependent variable.
Hence,
Coefficient of determination =
=
= 0.89
∴ 89% of the variation in the dependent variable is explained by the independent variables.
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Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>
Step-by-step explanation:
Let us assume that the dimension of the square base = S x S
Let us assume the height of the rectangular base = H
So, the total area of the open rectangular box
= Area of the base + 4 x ( Area of the adjacent faces)
= S x S + 4 ( S x H) = S² + 4 SH ..... (1)
Also, Area of the box = S x S x H = S²H
⇒ S²H = 2000
Substituting the value of H in (1), we get:
Now, to minimize the area put :
Putting the value of S = 15.874 cm in the value of H , we get:
Hence, the dimensions of the given rectangular box are:
L = 15.874 cm
B = 15.874 cm
H = 7.8937 cm
As we know that cotx= 1/tanx
cot36° = 1/tan36°
=>cot36°= 1/0.726543
=>so cot 36°= 1.376382
So correct answer is option D.
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