Answer:
σ = 2 (option a)
Step-by-step explanation:
You would want the smallest standard deviation possible.
Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.
As opposed to being an average position if the scores were about 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.
So, a standard deviation of σ = 2 would give you the highest position in the class distribution.
Answer:
B) 2x - 12x - 18 = 8
Step-by-step explanation:
2x - 3y = 8
If y = 4x - 6, then substitute and solve:
2x - 3(4x - 6) = 8
2x - 12x - 18 = 8
10x - 18 = 8
10x = 8 + 18
10x = 26
x = 26/10
x = 2.6
y = 4(2.6) - 6
y = 10.4 - 6
y = 4.4
Answer:
straight line that passes through the origin
Step-by-step explanation:
Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.
Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).
Answer:
I like science right now but last year i was a huge history buff
Answer:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
