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Ira Lisetskai [31]
3 years ago
13

In how many ways can 3 singers be selected from 5 who came to an audition?. A. 1. B. 10. C. 5. D. 60

Mathematics
2 answers:
pychu [463]3 years ago
4 0

Answer:

Answer:

(5 3 ) = 10

Explanation:

This is a combination problem - we don't care about the order in which the singers are selected:

C n , k = ( n k ) = n !

( k ! ) ( n − k ) !  with  n = population ,

k = picks

( 5 3 ) = 10

Step-by-step explanation:

amid [387]3 years ago
4 0

Answer: B. 10

Step-by-step explanation:

Given: The total number of singers who came to an audition= 5

The number of singers need to be selected = 3

The number of ways to select 3 singers from 5 singers is given by using combinations as :-

^5C_3=\frac{5!}{3!(5-3)!}=\frac{5\times4\times3!}{3!2!}=10

Hence, the number of ways to select 3 singers from 5 singers who came to an audition is 10.

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Help with this question please 10 points​
Mamont248 [21]

Answer:

x = 80

measure of exterior angle = 112°

Step-by-step explanation:

32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)

32 + x = 2x - 48

32 = x - 48

x = 80

plug in,

2(80) - 48

160 - 48 = 112

4 0
3 years ago
y is inversely proportional to a^3. When a=2, y=10. a is directly proportional to x. When x=4, a=20. Find a formula for y in ter
marshall27 [118]

Answer:

<h2>y = 16/25x³</h2>

Step-by-step explanation:

If y is inversely proportional to a^3, this is expressed as;

y∝1/a³

y = k/a³ where k is the proportionality constant

Given a=2, y=10, then 10 = k/2³

k = 10*2³

k = 80

Substituting k = 80 back into the formula;

y = 80/a³ ............. 1

Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx

If x=4, a=20 then;

20 = 4k

k = 20/4

k = 5

Substituting k = 5 back into the formula;

a = 5x ....... 2

Substitute equation 2 into 1;

y = 80/a³

y = 80/(5x)³

y = 80/125x³

y = 16/25x³

<em>Hence the formula for y in terms of x is y = 16/25x³</em>

<em></em>

3 0
3 years ago
If he drank 80% of his water on his entire hike. How much did he drink? (Remember he brought 3 liters of water.)
Mama L [17]

Answer:

<h2>2.4 Litres of water</h2>

Step-by-step explanation:

80% of (3 litres)

You can take 3 litres to be 3000 ml which is how I solved it.

<h2>OPTION 1</h2><h2>_________</h2>

80/100 x 3000

=2400 or 2.4 litres

The same can go with not taking ml which you can just use litres

<h2>OPTION 2</h2><h2>_________</h2>

80/100 x 3

=2.4 litres

I used the ml since I do not need the calculator for that one and it is faster to calculate.

6 0
3 years ago
Tamara earned 15% more each week in September than in July. She earned 10% less each week in July than in August. If she earned
Zanzabum

Answer: 34.10

Find 15% of 207 then ten percent of that and add it to that theres ur answer.

4 0
3 years ago
Lisa and her 17 classmates are donating money to a local charity. Each student will donate $5.25. How much money are Lisa and he
masya89 [10]

Answer:

$94.50

Step-by-step explanation:

Total No. of students = Lisa(1) + 17 classmates = 1+17 = 18

Money donated by 1 student = $5.25

Money donated by 18 Students = 18*5.25 = $94.50

8 0
3 years ago
Read 2 more answers
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