Answer:
64
Step-by-step explanation:
Volume of one sugar cube = 1x1x1= 1cm³
Volume of dish = 4x4x4 = 64cm³
Divide volume of dish by volume of one cube to find out how many can fit:
64/1 = 64
Answer:
The total phone numbers, if the latter ABC is followed, will be 175.
Step-by-step explanation:
We are told that the digits will be in the form ABC and A can take values from 2 – 8, B from 5 – 9 and C from 5 – 9 as well.
This means:
A has 7 possible values (when you count the number of numbers between 2 and 8).
B has 5 possible values.
C has 5 possible values.
Therefore, the total phone numbers, if the latter ABC is followed, will be:
7 x 5 x 5 = 175.
Answer:
Step-by-step explanation:
Assume that f(x) = 0 for x outside the interval [4,7]. We will use the following
![Var(X) = E[X^2]- (E[X])^2](https://tex.z-dn.net/?f=Var%28X%29%20%3D%20E%5BX%5E2%5D-%20%28E%5BX%5D%29%5E2)
Standard deviation = ![\sqrt[]{Var(X)}](https://tex.z-dn.net/?f=%20%5Csqrt%5B%5D%7BVar%28X%29%7D)
Mean =
Then,
![E[X] = \int_{4}^{7}\frac{1}{3}dx = \frac{7^2-4^2}{2\cdot 3} = \frac{11}{2}](https://tex.z-dn.net/?f=E%5BX%5D%20%3D%20%5Cint_%7B4%7D%5E%7B7%7D%5Cfrac%7B1%7D%7B3%7Ddx%20%3D%20%5Cfrac%7B7%5E2-4%5E2%7D%7B2%5Ccdot%203%7D%20%3D%20%5Cfrac%7B11%7D%7B2%7D)
![E[X^2] = \int_{4}^{7}\frac{x^2}{3}dx = \frac{7^3-4^3}{3\cdot 3} = 31](https://tex.z-dn.net/?f=E%5BX%5E2%5D%20%3D%20%5Cint_%7B4%7D%5E%7B7%7D%5Cfrac%7Bx%5E2%7D%7B3%7Ddx%20%3D%20%5Cfrac%7B7%5E3-4%5E3%7D%7B3%5Ccdot%203%7D%20%3D%2031)
Then, 
Then the standard deviation is ![\frac{\sqrt[]{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D)