Answer:
The standard deviation is 2
Step-by-step explanation:
Electricity consumption by the residents in a local community is normally distributed, with a mean of 32 kilowatt-hours per day.
We have that, 95% of the residents use between 28 and 36 kilowatt-hours per day.
According to the empirical rule , 95% of the distribution falls within two standard deviations of the mean.
We can use the upper x=36, and the mean,
to find the standard deviation using the formula:
We substitute to get:
Therefore the standard deviation is 2.
Answer:
slope=2/3
Step-by-step explanation:
Step-by-step explanation:
3(-x+2x+1)=x-1
3(x+1)=x-1
3x+3=x-1
3x-x=-1-3
2x=-4
x=-2
2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3
25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10
4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution
4x + 2y = 8
When x = -2: 4x + 2y = 8
4(-2) + 2y = 8
-8 + 2y = 8
+ 8 + 8
2y = 16
2 2
y = 8
(x, y) = (-2, 8)
When x = 1: 4x + 2y = 8
4(1) + 2y = 8
4 + 2y = 8
- 4 - 4
2y = 4
2 2
y = 2
(x, y) = (1, 2)
When x = 3: 4x + 2y = 8
4(3) + 2y = 8
12 + 2y = 8
- 12 - 12
2y = -4
2 2
y = -2
(x, y) = (3, -2)