Answer:
The standard deviation for the number of bags that are underfilled is 2.236.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.
In this question:
Expected number of underfilled bags in a sample of n bags is:

1000 bags, so

Standard deviation 
The standard deviation for the number of bags that are underfilled is 2.236.
Answer:
$3 dollars more
Step-by-step explanation:
Surface area will consist of:
2 triangles, 3 rectangles:
Solving for triangles:
A=1/2bh
A=1/2(120)
A=60
60*2 gives us the surface area of both triangular sides.
Solve for rectangles:
(17*20)+(8*20)+(15*20)
(340)+(160)+(300)
(800)
800+120=920
The surface area of the prism is 920 square feet
Answer:
= 
Step-by-step explanation:
AS we can see in the figure that a beam or a rod is balanced by a square on right side
while on the left side we have a smaller square and a triangle
Suppose the values written inside it are the weights of the shapes which are making it stable
So
Total on RHS = Total on LHS
Now Total on RHS = Value of bigger square
= 
Total on LHS = Value of smaller sqaure + Value of triangle
= 
Now we know to make this image a balanced one as shown n the figure
Total on RHS = Total on LHS
putting values gives us
= 
which is the required equation