The coefficient of correlation is independent of change of scale and origin of the variable X and Y. Change of origin means some value has been added or subtracted in the observation. If we divide all observations with x then new mean =initial mean/x.
Answer:
32
Step-by-step explanation:
area of a triangle is bxhx1/2
8x8 is 64
and then divide by 2
64/2=32
Answer:
14 x 10 = 140 yd²
Step-by-step explanation:
Area of a rectangle is length times width
Answer:
x=1 & y=6 or (1,6)
Step-by-step explanation:
3x-x+5=7 Substitute the 2nd equation in for y
2x+5=7 Do 3x-x to get 2x
2x=2 Subtract 5 from both sides
x=1 Divide 2 from both sides
y=1+5 Insert 1 as x
y=6 Add 1+5 to solve for y
Hope this helped!
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
