Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Mean is 
and a standard deviation is 
, then the variable 
.
Use substitution
.
This substitution gives you that 
.
a. For X=130, 
and 
(the decimal value is taken from the Standard Normal Distribution Table).
b. For X=90, 
and for X=110, 
. Then 
(the decimal value is taken from the Standard Normal Distribution Table).
<h3>
Answer: 78.6</h3>
Work Shown:
Multiply across the rows to form a third column. Example: 9*90 = 810 in the first row.
The values in the third column add to 810+1440+1050 = 3300
Divide this over the total number of people which is 9+18+15 = 42
The mean is 3300/42 =78.571 approximately which rounds to 78.6
I would go with then answer 168
Because if 12 of 180 has spots then you would subtract 12 to get how many will not have spots ....thats how I got the answer
Hope I helped Pls mark me as brainliest
