Answer:
3x-6
Step-by-step explanation:
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.
Answer:
y+4=-3(x+0) or y=-3x-4
Step-by-step explanation:
so you have to make it in form y=mx+b
that would be y=1/3x-2/3
for a perpendicular line, you would need to find the opposite reciprocal of the slope
3/1 or 3 would be the reciprocal, so to make it opposite would be -3
So it would be y-y1 = m(x-x2)
fill it in with the coordinates (0,-4)
y+4=-3(x-0)
to get it to slope intercept form you have to simplify, and after that you get y=-3x-4
Answer: 0.38065
in simpler terms x=± 0.145 =±0.38065
Step-by-step explanation: -490x2+71 = 0
Subtract 71 from both sides of the equation :
-490x2 = -71
Multiply both sides of the equation by (-1) : 490x2 = 71
Divide both sides of the equation by 490:
x2 = 71/490 = 0.145
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 71/490
The equation has two real solutions
These solutions are x = ±√ 0.145 = ± 0.38065
Answer:
25
Step-by-step explanation:
(-5)^2
(-5)*(-5)
25