Answer:
The value of given expression is 
.
Step-by-step explanation:
Given information: n=7, x=2, p=1/2
The given expression is
It can be written as
Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.
Therefore the value of given expression is .
Answer:
12 pounds
Step-by-step explanation:
We we need to write equations to represent the situation in this problem.
x=weight of package
UPS cost=6+1+0.15(x-2)
UPS cost=6+1+0.15x-0.3
UPS cost=6.7+0.15x
FedEx cost=4+2+.25(x-2)
FedEx cost=4+2+0.25x-0.5
FedEx cost=5.5+0.25x
Next, we can set the two equations equal to each other to solve for x.
6.7+0.15x=5.5+0.25x
6.7+0.15x-5.5=5.5+0.25x-5.5
1.2+0.15x-0.15x=0.25x-0.15x
1.2/0.1=0.1x/0.1
x=12
It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.
Answer:
$12
Step-by-step explanation:
We know that 25% means 25 out of 100, which can be represented by 25/100 or 1/4.
To get the discount we multiply 48 by 1/4 which is 48/4 = $12
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
