Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
Answer:
(1,-1)
Step-by-step explanation:
The intersection of the two lines
Percentages can be used for discounts in shops - 50% off cookies
For bank interest rates - 2.78% p.a.
Sales tax - $50 coffee maker and the sales tax is 8%
Hey there!
#1 ⬇️
6 × 6 × 6 × 6 × 6
6 × 6 = 36
36 × 36 × 6
36 × 36 = 1,296
1296 × 6 = 7,776
Answer: 7,776 ☑️
#2 ⬇️
3 × 3 × 3 × 3
3 × 3 = 9
9 × 9 = 81
Answer: 81 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
