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stich3 [128]
2 years ago
12

suppose you are asked to list, in order of preference,your five favorite albums you purchased in the past 12 months. if you boug

ht 20 albums over this time period, in how many ways can the five favorites be ranked?
Mathematics
1 answer:
Paladinen [302]2 years ago
5 0

<span>When the order doesn't matter, we would be using the Combination. While, when the order does matter it is called permutation.</span>

 

In this case, permutation would be use since there is a ranking for the albums.

We need to choose and arrange 5 albums out of 20. Hence, the number of possible ways will be:

<span>5/20 P = 20! Divided by (20 – 5)! = 20 x 19 x 18 x 17 x 16 = 1860480</span>

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Find the value of each variable
kondaur [170]

Answer:

The correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

Step-by-step explanation:

Points to remember

The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2

<u>To find the value of variables</u>

From the figure we can see 2 right angled triangle with angle 30, 60 and 90

we get, d= 5 then b = 5√3

b = 5√3  the c = 5√3 * √3 = 15

and a = 2 * 5√3 = 10√3

Therefore the correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

4 0
2 years ago
Read 2 more answers
Which two whole numbers are closest to 42 square root
malfutka [58]

Answer:

The two numbers are 36 (62) and 49 (72).

Step-by-step explanation:

8 0
2 years ago
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Please help<br> 3 x + 1 ≤ − 2 OR 3 x + 1 &gt; 5
KengaRu [80]
First one: x <= -1

Second one: x > 4/3

Since you logically OR them together, the answer will be simply the combination of them two:

x <=-1 or x> 4/3
8 0
3 years ago
What are the solutions of the following system? StartLayout Enlarged left-brace 1st row 10 x squared minus y = 48 2nd row 2 y =
jeyben [28]

Answer:

<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>

Step-by-step explanation:

Given:

10x² - y = 48  ⇒(1)

2y = 16x² + 48 ⇒(2)

From eq.(1) ⇒ y = 10x² - 48 ⇒(3)

By substitution with y from eq.(3) at eq.(2)

∴ 2(10x² - 48) = 16x² + 48

Solve for x

∴ 20x² - 96 = 16x² + 48

∴ 20x² - 16x² = 48 + 96

∴ 4x² = 144

∴ x² = 144/4 = 36

∴ x = ±√36 = ±6

By substitution with x at eq.(3)

when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312

when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312

<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>

3 0
3 years ago
What does Three plus three equal
drek231 [11]

Answer:

six

Step-by-step explanation:

6

8 0
2 years ago
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