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Jet001 [13]
4 years ago
11

Plaz guys help me on this question additional mathematics ​

Mathematics
1 answer:
Soloha48 [4]4 years ago
4 0

Answer:

Step-by-step explanation:

vector OA=a

vector OB=b

vector OX= λ vector OA=λa

vector OY=μ vector OB=μb

a.

1.vector BX=(vector OX-vector OB)=λa-b

ii. vector AY=(vector OY-vector OA)=μb-a

b.

5 vector BP=2 vector BX

5(vector OP-vector OB)=2 (vector OX-vector OB)

5(vector OP-b)=2(λa-b)

5 vector OP-5b=2λa-2b

5 vector OP=2λa-2b+5b

vector OP=1/5(2λa+3b)

ii

complete it.

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What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
Read 2 more answers
What is the order of the steps to solve for x in the equation 3x - 6x - 7 = 29?
Anna35 [415]

Answer:

3x - 6x - 7 = 29 <u>Given</u>

<u>-----------------------------------</u>

3x - 6x -7  = 29

           + 7   + 7     <u>Addition property of equality</u>

3x - 6x = 36

<u>--------------------------------------------------------------</u>

3x - 6x = 36

<u>(</u>3x + -6x) = 36         <u>Combine like terms</u>

-3x = 36    

<u>--------------------------------------------------------------</u>

-3x = 36

(-3x = 36)/ -3         <u>Division property of equality</u>

x = -12

<u />

Step-by-step explanation:

I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the  -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.

Hope this helps :)

8 0
4 years ago
Plz help I need to bring my grade up
emmainna [20.7K]
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Find two equivalent fractions<br> 3/2
Nimfa-mama [501]

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Step-by-step explanation:

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One number is 13 more. if the sum of the two numbers is 15, find the two numbers
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Let number be x and x+13
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