Answer:
b=9
Step-by-step explanation:
move the constant to the right which makes it 8b +5.04=77.04
then subtract 77.04 - 5.04 which = 8b = 72
Answer:
(a) The critical points of f are x=0 and x=3.
(b)f is decreasing on 
and f is decreasing on 
.
(c) Therefore the local minimum of f is at x=3
Step-by-step explanation:
Given function is
(a)
To find the critical point set f'(x)=0
The critical points of f are 0,3.
(b)
The interval are and .
To find the increasing or decreasing, taking two points one point from the interval (0,3) and another point .
Assume 1 and 4.
Now 
and 
Since 1∈ , f'(x)<0 and 4∈ , f'(x)>0
∴f is decreasing on and f is decreasing on .
(c)
Differentiating with respect to x
Now
and
Since f''(x)>0 at x=3
Therefore the local minimum of f is at x=3
Answer:
A dashed line
Step-by-step explanation:
The end points of the line for the inequality would not be included since y is only greater, not greater than or equal to.
Answer:
E(w) = 1600000
v(w) = 240000
Step-by-step explanation:
given data
sequence = 1 million iid (+1 and +2)
probability of transmitting a +1 = 0.4
solution
sequence will be here as
P{Xi = k } = 0.4 for k = +1
0.6 for k = +2
and define is
x1 + x2 + ................ + X1000000
so for expected value for W
E(w) = E( x1 + x2 + ................ + X1000000 ) ......................1
as per the linear probability of expectation
E(w) = 1000000 ( 0.4 × 1 + 0.6 × 2)
E(w) = 1600000
and
for variance of W
v(w) = V ( x1 + x2 + ................ + X1000000 ) ..........................2
v(w) = V x1 + V x2 + ................ + V X1000000
here also same as that xi are i.e d so cov(xi, xj ) = 0 and i ≠ j
so
v(w) = 1000000 ( v(x) )
v(w) = 1000000 ( 0.24)
v(w) = 240000
