Answer: 95040
Step-by-step explanation:
It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)
Hence, to arrange 5 books from a total of 12 books on a book shelf is
nCr * r!
12C5 * 5!
792 * 120
= 95040
Answer:
Step-by-step explanation:
<u>Biquadratic Equations</u>
Solve:
The biquadratic equations are equations of degree 4 without the terms of degree 1 and 3.
Solving such equations requires to express the equation as a second-degree equation with 
as the variable.
Rewriting the equation:
The quadratic equation can be factored as:
It leads to two equations:
The first equation has imaginary roots. Solving for x:
Where
The second equation has two real roots:
The roots are:
Answer:
3. markup: $150
selling price: $300
4. markup: $19.20
selling price: $67.20
5. markup: $55
selling price: $165
6. markup: $90
selling price: $450
7. markup: $3.75
selling price: $16.25
8. markup: $7.14
selling price: $27.54
Step-by-step explanation:
To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:
3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:
100% = 1
150 * 1 = 150
The markup is 150.
To find the selling price we add the markup to the initial value:
150 + 150 = 300
The selling price is 300.
I applied this method to all of the questions.
Answer:
#10: 5/36
#11: 5/6
Step-by-step explanation:
#10:
The following combinations will get you 6.
1 - 5
2 - 4
3 - 3
4 - 2
5 - 1
These are only 5 of the 36 possible combinations, so you have 5/36 of a chance to get a combo of equal 6.
#11:
Like with #10, list the possible combinations that will get you 7.
1 - 6
2 - 5
3 - 4
4 - 3
5 - 2
6 - 1
That's only six combinations, but we're not including those. Subtract 6 from 36 to get 30. 30/36 simplifies to 5/6 (GCF of 30 & 36 is 6), so that is the answer to #11.
