Answer:
The volume of the cylinder is 367.6 M^3
Step-by-step explanation:
Mathematically, we have the volume of a cylinder calculated as follows;
V = pi * r^2 * h
r is the base radius given as 3 m
h is the height given as 13 m
So, we have the volume as;
V = 22/7 * 3^2 * 13 = 367.6 M^3
Sophie has factored the term completely while Carlos has not factored the term completely.
Step-by-step explanation:
We need to factor the trinomial:

Factoring:

So, the factored form of
is 
So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.
Keywords: Factoring the terms
Learn more about Factoring the terms at:
#learnwithBrainly
Answer:
1:500000
Step-by-step explanation:
1 mm (map) equals 500 m (actual) .
Let's convert 500 m to mm.
1m = 1000mm
500m = 500000 mm
So 1mm to 500000mm on a scale is
1:500000
So it's all about converting the metre to million metre then doing the ratio.
In this case we are not to divide anything because it's already in 1.
So it's 1mm on paper then 500000mm on actual.
Thank you
Answer:
Third Option:
or 
Step-by-step explanation:


or 
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.