<span>E[Y] = 0.4·1 + 0.3·2 + 0.2·3 + 0.1·4 = 2
E[1/Y] =0.4·1/1 + 0.3·1/2 + 0.2·1/3 + 0.1·1/4 = 0.4 + 0.15 + 0.0666 + 0.025?0.64
V[Y] =E[Y2]-E[Y]2= (0.4)·12+(0.3)·22+(0.2)·32+(0.1)·42-22= 0.4+1.2+1.8+1.6-4= 5-4 = 1</span>
Answer:
1/12 miles/minute
Step-by-step explanation:
To figure out how fast ellie runs in 1 minute, we can set up this equation:
5/6 = 10x (x being the speed per minute)
We can divide both sides by 10
5/60 = x
Then simplify the fraction to get:
1/12 = x
Answer:
600
Step-by-step explanation:
105/7 * x/40
7x=4,200
x=600
Answer:
h=6
Step-by-step explanation:
19h-7=23+14h
-7-23=14h-19h
-30=-5h
h=6
Answer:
Step-by-step explanation:
1). Equation of a line which has slope 'm' and y-intercept as 'b' is,
y = mx + b
If slope 'm' = 1 and y-intercept 'b' = -3
Equation of the line will be,
y = x - 3
x - y = 3
2). Equation of a line having slope 'm' and passing through a point (x', y') is,
y - y' = m(x - x')
If the slope 'm' = 1 and point is (-1, 2),
The the equation of the line will be,
y - 2 = 1(x + 1)
y = x + 1 + 2
y = x + 3
x - y = -3
3). Equation of a line passing through two points
and
will be,

If this line passes through (-2, 3) and (-3, 4),

y - 3 = -1(x + 2)
y = -x - 2 + 3
y = -x + 1
x + y = 1