Answer:
Choice B
Step-by-step explanation:
We can perform a least squares regression model in Ms. Excel to determine the equation of the line of best fit for the data given;
The first step is to enter the data into any two adjacent columns of an excel workbook. Next, click on the Data ribbon followed by the Data Analysis tool pack. We then proceed to select regression from the pop-up window. The final step is to select the y range and the x range of values from our data.
Once we click ok, Excel returns our least squares regression model as shown in the attachment below.
The coefficient of X variable 1 is our slope.
Answer:
Altogether James walked miles.
Step-by-step explanation:
The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.
Given
Distance of first walk = of a mile
Distance of second walk = 5/7
In order to find how much he walked altogether, we have to find the sum of both fractions.
Hence,
Altogether James walked miles.
Answer:
a)
b)
c)
d)
cos 330° = 1- 2 sin² (165°)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
By using trigonometry formulas
a)
cos2∝ = 2 cos² ∝-1
cos∝ = 2 cos² ∝/2 -1
1+ cos∝ = 2 cos² ∝/2
b)
cos2∝ = 1- 2 sin² ∝
cos∝ = 1- 2 sin² ∝/2
<u><em>Step(i):-</em></u>
Given
we know that trigonometry formulas
1- cos∝ = 2 sin² ∝/2
Given
put ∝ = 315
multiply with ' 2 sin (∝/2) both numerator and denominator
Apply formulas
1- cos∝ = 2 sin² ∝/2
now we get
b)
put ∝ = 330° above formula
c )
put ∝ = 315° above formula
d)
cos∝ = 1- 2 sin² ∝/2
put ∝ = 330°
cos 330° = 1- 2 sin² (165°)