Answer:
x = - 4
Step-by-step explanation:
Given
- x² - 8x - 16 = 0 ( multiply through by - 1 to clear the leading negative )
x² + 8x + 16 = 0 ← this is a perfect square
(x + 4)² = 0 ( take the square root of both sides )
x + 4 = 0 ( subtract 4 from both sides )
x = - 4
Answer:
yes
Step-by-step explanation:
In an isosceles triangle, one perpendicular bisector is also an angle bisector.
Answer:
x = 9/2.
Step-by-step explanation:
2/3 x + 4 = 7
2/3 x = 3
Multiply both sides by 3/2:
2/3 * 3/2 x = 3 * 3/2
x = 9/2.
Calculate for the mean/ average of the given numbers:
μ = (1 + 2 + 3 + 4 + 5) / 5 = 3
Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10
Divide this summation by the number of items and take the square root of the result to get the standard deviation.
SD = sqrt (10 / 5) = sqrt 2
SD = 1.41
Thus, the standard deviation of the given is equal to 1.41.