Here is a simple way we can do this.
We have six blanks.
__ __ __ __ __ __
Now, we have 13 possible options to fill in blank number one.
13 __ __ __ __ __
Now we have 12 possible options to fill in blank number two because one person has already been chosen.
13 12 __ __ __ __
Now we have 11 possible options for blank number three.
13 12 11 __ __ __
Now we have 10 possible options for blank number four.
13 12 11 10 __ __
And so forth until we get:
13 12 11 10 9 8
Now we just have to multiply the numbers all together.
13 * 12 * 11 * 10 * 9 * 8
is equal to:
1235520 ways.
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Help?? I need that question to but just that the weight instead of being 1000 is 2000
Answer: The proportion of employees who either have MBAs or are managers are 0.58.
Step-by-step explanation:
Since we have given that
Probability of employees having managerial positions = 67%
Probability of employees having MBA degrees = 58%
Probability of managers having MBA degrees = 67%
So, using probability formulas, we get that

Hence, the proportion of employees who either have MBAs or are managers are 0.58.
Answer:

Yes, y is a function of x.

Step-by-step explanation:
For a proportional relation, the equation is given by:

where k is the unit rate of change.
We were told that, Lin's sister earns $9.6 per hour.
This means k=9.6.
We substitute to get:

We could rewrite this as

Yes, y is a function of x.
To obtain an equation describing x as a function of y, we solve for x to get:
