Answer:
<em>Option c</em>
Step-by-step explanation:
<u>Best Fit Regression Model
</u>
When experimental data is collected, scientists frequently ask themselves if there is a relationship between some of the variables under study. It's crucial in modern times where artificial intelligence technology is trying to find key answers where traditional approaches hadn't before.
One of the most-used tools to find relations between variables is the regression model and its best fit lines to try to find an expression who relates variable x (years from 1960) and variable y (minimum wage requirement) as of our case.
The provided data was entered into a digital spreadsheet and an automatic function was applied to find the best-fit model.
We found this equation:
![y=0.11363x+0.6906](https://tex.z-dn.net/?f=y%3D0.11363x%2B0.6906)
when rounded to three decimal places, we find
![y=0.114x+0.691](https://tex.z-dn.net/?f=y%3D0.114x%2B0.691)
Which corresponds to the option c.
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to
![A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7BLM%2BKN%7D%7B2%7D%20%2AMP%3D%20%5Cfrac%7B10%2B20%7D%7B2%7D%20%2A10%3D150)
sq. units.
Answer:
A
Step-by-step explanation:
y=x+1
=> put y=5
5=x+1
x=5-1
x= 4
(4,5)
same put y=9
so, x= 8
(8,9)
F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Answer:
x = 12
Step-by-step explanation:
The midsegment VY is half the sum of the parallel bases , that is
VY =
, then
3x + 18 =
(x + 96) ← multiply both sides by 2 to clear the fraction
6x + 36 = x + 96 ( subtract x from both sides )
5x + 36 = 96 ( subtract 36 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12