Answer:
n=90
Step-by-step explanation:
As I think it is easy to answer the volume of prism I will also calculate no of small prism that can fit inside the larger one
so volume = length * width * height
volume of larger prism
vp=45/4 ft^3 =11.25
volume of small cubes
vs=1/2*1/2*1/2
vs=0.125 ft^3
now numbers of cube that can fit
n=vp/vs
n= 11.25/.125
n=90
so 90 smaller cubes will completely fill in the prism
Answer:
B the function is nonlinear
Step-by-step explanation:
Answer
Together, they have 99 marbles.
Explanation
Ravi has 33 marbles.
His brother has twice (two times) as many marbles as him. Ravi's brother has 33×2=66 marbles.
Together, they have 33+66=99 marbles.
Answer:
Step-by-step explanation:
Notation
Total = n= 4+7+5=16 people
We are going to select 3 people and will be given gift certificates to a local restaurant so then r =3.
Determine the probability that two of those selected will be from the accounting department and one will be from the sales department.
For this case we can use combinatory nCx, since the selection is without replacment.
Where (nCx) means combinatory and it's given by this formula:
So then the definition of probability is given by :
Let's begin with the total outcomes, we have a total of n=16 people and we wan't to select 3 of them, so the possible outcomes are:
And now let's analyze the possible outcomes, we need that the group of 3 would be conformed by two people from the accounting department and one from the sales deparment. So then the possible outcomes are:
And the reason is because we have a total of 5 people at the accounting and we want to select 2. And we have a total of 4 people at the sales department and we want to select just 1. And the multiplication it's because the order on the selection no matter (we assume this).
So then replacing into our formula of probability we got:
Answer:
93.5 in²
Step-by-step explanation:
To find the area, because this is a sheet of paper it is classified as a rectangle.
The formula for the area of a rectangle is a = lw
So a is what we are solving for or the area.
l = 11
w = 8.5
a = (11)(8.5)
The area of a sheet of printer paper is 93.5 in²