Its a cube with dimensions 4 by "x+1" by "x+11"
So if you multiply all 3 of these you will get the total volume of 924.
So our equation is:
4(x+1)(x+11) = 924
(x+1)(x+11) = 231
x²+12x+11 = 231
x²+12x-220 = 0
Now factor to:
(x+22)(x-10) = 0
Thus x = -22 or 10.
Only 10 makes sense here since we can't have a negative length. So x = 10.
Now plug in x back into our original expressions to get the dimensions.
The original dimesions are: 4cm x 11cm x 21cm
Ta-dah!
Answer:

Step-by-step explanation:
Replace y with f(x).

Swap x and y and solve for y



Let x be the first integer, then
:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
:
6x + 15 = 519
:
6x = 504
:
x = 84
:
*****************************
Our sequence is
:
84, 85, 86, 87, 88, 89
:
The third integer is 86
(z + 6) / 3 = 2z / 4
this is a proportion, so we cross multiply
(3)(2z) = 4(z + 6)
6z = 4z + 24
6z - 4z = 24
2z = 24
z = 24/2
z = 12 <==
Following the table and knowing that the total number of students interviewed were 158 ( we can see this by looking adding either the total number of upperclassment or adding the total number of people with jobs or no jobs, this value is at the bottom right of the table in the figure attached).
Recall that:

In the figure provided each of these terms is highlighted in a different color. To convert these values to their matching probabilities we have to divide each by the total number of students, this is due to the fact that the probability is the number of favorable cases (in this case a group matching the qualities we seek) divided by the total amount of cases ( that is the total number of people interviewed). In the figure the answer is provided. For the intersection of the two events we're looking for people that is both an undercalssman and also has a job.