Let "a" and "b" be the two numbers
So a*b=-8 and a+b=-7
Therefore S=-7 and P=-8
Using (x^2)-S+P=0 => (x^2)-(-7)+(-8)=0 => (x^2)+7-8=0
By factorizing we get (x+8)(x-1)=0
So a can be either -8 or 1 and b can be 1 or -8
Meaning that the two numbers are -8 and 1.
This is because each number of x is being multiplied by 100
Yes, it is reasonable, because the ME is 7.1% and 48% falls within the range of 53.8% to 7.1%.
Calculating the ME:
The sample proportion was 53.8%. This gives us
53.8% +/- 7.1%
Answer:
Step-by-step explanation:
The age of three sisters are consecutive integers meaning they are only one year apart.
E.g. sister 1 = x yrs old
Sister 2 = (x + 1) yrs old
Sister 3 = (x + 2) yrs old
They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.
Sister 1 + sister 2 + sister 3 = 180
x + (x + 1) + (x + 2) = 180
So gather the like terms and you get:
3x + 3 = 180
Subtract 3 from both sides
3x = 180-3 = 177
Solve for x by dividing both sides by 3.
x = 177/3 = 59
So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.
Sister 1 = x = 59
Sister 2 = x + 1 = 59 + 1 = 60
Sister 3 = x + 2 = 59 + 2 = 61