Answer:
The correct option is D.
Step-by-step explanation:
The linear regression equation is in the form of
Where,
The formula of r is
![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%28%5Csum%20x%5E2%29-%28%5Csum%20x%29%5E2%5D%5Bn%28%5Csum%20y%5E2%29-%28%5Csum%20y%29%5E2%5D%7D%7D)
The values are
Using above formula, we get
Therefore option D is correct.
Answer:
47.10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.
Filling in the given values, we have ...
... cos(42°) = 35/y
Multiplying by y/cos(42°), we can find y to be ...
... y = 35/cos(42°) ≈ 35/0.7431
... y ≈ 47.10
Y will be approximately 47.10 in length
Step-by-step explanation:
we will use this form that we memorized in our schools ............. SOH CAH TOA
CAH means , Cos ∅= Adjacent/Hypotenuse
Given values
∅ =42°
hypotenuse= y
adjacent side length = 35
now putting in our values into
Cos ∅= Adjacent/Hypotenuse
OR
cos(42°) = 35/y
by multiplying y on both sides we get
y= 35/cos( 42°)
cos(42°)= 0.743
so y= 35/0.743
y = 47.10632
OR
y ≈ 47.10
Yea so I don’t know sorry
Answer:
2%
Step-by-step explanation:
20% takes 10 years to decay
To find per year decay, we divide the percentage by the number of years, so we get unit rate of years {per year]. Thus we have:
20%/10 = 2% per year
It's that simple.
Hence, the percentage by which the substance decays each year is 2%
