I believe that the correct answer is binomial
Mode = 11
Reason: 11 appeared twice, which is the most frequent number observed in this set of data.
Step 1. The General Equation of a straight line is
Y = Mx + C where
M is the slope and
C is that point on the y axis where the curve cuts that axis (where x = 0)
In this case we are told that M = (3/4)
Our equation is now Y = (3/4)X + C ••• Equ 1
We are told that this curve passes through Point ( x, y ) = ( 8, -1 ).
Substitute these values of x, and y into Equ 1 to find C.
Y = (3/4)X + C or
( -1 ) = ( 3/4 )*( 8 ) + C or
( -1 ) = ( 6 ) + C or
C = ( - 7 )
Therefore the Equation of the Point Slope curve is
Y = ( 3/4 )X - 7
: Hope this helps :)
Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
If I'm not mistaken, x=1 2/3 or 1.66