I need help i dont understand how to do this!!
2 answers:
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- AC = 20cm
- BC = 12 cm
AB = w = ??
<h3>______________________</h3>⠀⠀⠀⠀
Using Pythagoras theorem ;
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First , lets understand the concept ;
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What is Pythagoras theorem ??
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In Pythagoras theorem the square of hypotenuse is equal to the square of base in the square of corresponding height when one angle is 90° .
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What is hypotenuse ?
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The side in the front of right angle is known as hypotenuse .
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In the given Δ ;
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Hypotenuse = AC = 20 cm
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Acc. to the formulae ;
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➠ 20² = 12² + w²
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➠ w² = 20 ² - 12 ²
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➠ w² = 400 - 144
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➠ w² = 256
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➠ d = √256
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➠d = 16cm
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<h3>______________________</h3>
- Value of w is 16cm
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Answer:
a) 98.522
b) 0.881
c) The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time.
Step-by-step explanation:
a.
As the mentioned in the given instruction the co-variance is first computed in excel by using only add/Sum, subtract, multiply, divide functions.
Marks y Time spent x y-ybar x-xbar (y-ybar)(x-xbar)
77 40 5.1 1.3 6.63
63 42 -8.9 3.3 -29.37
79 37 7.1 -1.7 -12.07
86 47 14.1 8.3 117.03
51 25 -20.9 -13.7 286.33
78 44 6.1 5.3 32.33
83 41 11.1 2.3 25.53
90 48 18.1 9.3 168.33
65 35 -6.9 -3.7 25.53
47 28 -24.9 -10.7 266.43
Co-variance=886.7/(10-1)
Co-variance=886.7/9
Co-variance=98.5222
The co-variance computed using excel function COVARIANCE.S(B1:B11,A1:A11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted co-variance is 98.52222.
b)
The correlation coefficient is computed as
(y-ybar)^2 (x-xbar)^2
26.01 1.69
79.21 10.89
50.41 2.89
198.81 68.89
436.81 187.69
37.21 28.09
123.21 5.29
327.61 86.49
47.61 13.69
620.01 114.49
sum(y-ybar)^2=1946.9
sum(x-xbar)^2=520.1
The correlation coefficient computed using excel function CORREL(A1:A11,B1:B11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted correlation coefficient is 0.881.
c)
The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time. It means that as the study time increases the marks of student also increases and if the study time decreases the marks of student also decreases.
The excel file is attached on which all the related work is done.
Hey there :)
To find the slope with <em>two points</em> we will need to use the equation
( 3 , -20 ) ( 5 , 8 )
Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :
We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.
Solve the fraction and we get
28 <em>divided</em> by 2 is 14. The slope is 14.