Answer:
Let's assume the following data:
Price in Dollars (X) 26 29 32 38 47
Number of Bids (Y) 12 13 15 16 18
For our case we have this:
n=10 
![r=\frac{5(2623)-(172)(74)}{\sqrt{[5(6194) -(172)^2][5(1118) -(74)^2]}}=0.974](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%282623%29-%28172%29%2874%29%7D%7B%5Csqrt%7B%5B5%286194%29%20-%28172%29%5E2%5D%5B5%281118%29%20-%2874%29%5E2%5D%7D%7D%3D0.974)
So then the correlation coefficient would be r =0.974
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
Solution to the problem
And in order to calculate the correlation coefficient we can use this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
Let's assume the following data
Price in Dollars (X) 26 29 32 38 47
Number of Bids (Y) 12 13 15 16 18
For our case we have this:
n=10
So then the correlation coefficient would be r =0.974
Answer:
29.5 pounds
Step-by-step explanation:
The amount of his weight made up of fat is his fat percentage times his body weight.
This is 18.2% * 162, which is 
or 
which is 29.484
Rounded to the nearest tenth (1 decimal place), it is 29.5.
Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs
total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49
multiply top equation by -1 and add to 2nd equation
-c-r=-30
<u>c+2r=49 +</u>
0c+1r=19
r=19
sub back
c+r=30
c+19=30
minus 19
c=11
11 chickens
19 rabbits
Let S represent Sunaina's age.
Let T represent Tanish's age.
So 2S - T/2 = 40, 4S - T = 80.
Either S - T = 2 or T - S = 2. Let's try both cases.
Either 3S = 78 or 3S = 82.
Since 82 is not a multiple of 3, S = 26.
So Sunaina is 26 years old and Tanish is 24 years old.
