Answer:
The students can group themselves in 360360 ways
Step-by-step explanation:
For this exercise we need to use the following equation:

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell
In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.
Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.
<u>Let's solve this problem step-by-step</u>:

<u>Thus v = 14</u>
<u />
<u>Answer: v= 14</u>
<u></u>
Hope that helps!
In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:
y - 4x = 9
-x + 4 = y
Add x to both sides of the second equation:
y + x = 4
y - 4x = 9
This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:
5x = -5
x = -1
Use x to solve for y:
y + (-1) = 4
y = 5
So, x = -1 and y = 5.
Answer:
As 2.551 < 3.84 therefore we reject H0.
As 44.803 > 4.46 so we accept null hypothesis.
Step-by-step explanation:
The answer is attached.
There are three judges so v1 = 3-1= 2 and v2 = (4*2)= 8
There are five gymnasts so v1 = 5-1= 4 and v2= (4*2)= 8
For alpha = 0.05 we find the value of F1 and F2 from the table.
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
<u>Step 1: Make an equation</u>
An automobile factory, 1849 parts are made in 4 hours.
<em>1849 / 4 = x</em>
<em />
<u>Step 2: Solve</u>
1849 / 4 = x
<em>462.25 = x</em>
<em />
Answer: There are 462.25 parts being made per hour