Answer:
See below.
Step-by-step explanation:
The standard deviation = √ (∑(x - 10)^2 / 8 ) must be approximately = 1 if we take the mean to be 10.
This requires ∑ (x - 10)^2 to be approximately equal to 8.
The following data set would fit the bill:
8.6 9 9 10 10 11 11 11.5.
The values of (x - 10)^2 could be 1.96, 1, 1, 0,0, 1, 1, 2.25 = 8.21
This would give a mean of about 10 and standard deviation of about 1.
1. (2√5)/5
2. -44√7
3. 8√17
4. -6√3+12
For 1: Multiply the numerator and denominator by √5:

For 2: Simplify √112:
√112 = √(2*56) = √(2*2*28) = √(4*4*7) = 2*2√7 = 4√7
Now multiply by the -11 coefficient:
-11(4√7) = -44√7
For 3: Add the radicals as you would variables that are like terms.
For 4: Multiply by the conjugate. The conjugate of the denominator has the same values with the sign of the radical changed:
Answer:
Step-by-step explanation:
(x - 3)/2 = -1
x - 3 = -2
x = 1
(y + 7)/2 = -1
y + 7 = -2
y = -9
(1, -9) the other endpoint