Letter D
A = 135°
B = 30°
cosAcosB - sinAsinB = cos(A+B)
cos(135°+30°)
cos(165°)
The equation of the linear regression is
<h3>Graphing tool</h3>
To determine the line of best fit, we make use of a graphing tool
See attachment for the graph of the line of best fit
<h3>The equation</h3>
From the graphing tool, we have the following calculation summary
-
Sum of X = 440
- Sum of Y = 3601.5
- Mean X = 44
- Mean Y = 360.15
- Sum of squares (SSX) = 1440
- Sum of products (SP) = 5157
The regression Equation is then represented as:
Where:
and
Also, we have:
So, the linear regression equation is:
Read more about linear regression at:
brainly.com/question/17844286
Answer:
6241 is one answer , but see below.
Step-by-step explanation:
If the number is vwxy we have:
v = 3w
x + y = v - 1
w = x - 2
From equations 1 and 2:
v = 3(x - 2).
The only possible values of v are 3, 6 or 9.
If v = 3:- 3 = 3(3 - 2) so x = 3 also.
If v = 6:- 6 = 3(4 - 2) so x = 4.
If v = 9:- 9 = 3(5 - 2) so x = 5.
Now consider the first equation x + y = v - 1:-
If v = 3 then 3 + y = 3 - 1 giving y = -1 so v = 3 is not possible.
If v = 6 then 4 + y = 6 - 1 giving y = 1 which is a possible value.
If v = 9 then 5 + y = 9 - 1 giving y = 3 which is also possible.
If x = 4 w = 4 - 2 = 2
If x = 5 w = 5-2 = 3.
Thus the possible values are 6241 or 9353.
If all digits must be different the answer is 6241.
28$ each calculator
Explanation:
140 / 5 = 28