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4 years ago

In how many ways can 2 singers be selected from 4 who came to an audition?

Mathematics

2 answers:

Svetlanka [38]4 years ago

3 0

First part its 4C2 = 4*3 / 2 = 6

Second part
12 * 100
---------- = 4.3 %
280

olga55 [171]4 years ago

3 0

Answer: A. 6

A. 4.3%

Step-by-step explanation:

The total number of singers = 4

To choose singers = 2

The number of ways to choose 2 singers from 4= $^4C_2=\frac{4!}{2!(4-2)!}=3\times2=6$

Hence, A is the right option.

The total number of water purifiers T= 280

The number of defective purifiers D= 12

The probability that a water purifier chosen at random will be defective (in percent)= $\frac{\text{T}}{\text{D}}\times100$

$=\frac{12}{280}\times100\\=0.042857\times100\\=4.2857\%\approx4.3\%$

Hence, A is the right option.

You might be interested in

A student walked 100 meters north, then 100 meters west. how many more meters did the student walk compared to their total displ

seraphim [82]

Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.

If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).

Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.

c^2 = a^2 + b^2

where c is the total displacement from the starting point to the end point

a is the distance he walks up north

b is the distance he walks to the west

c^2 = 100^2 + 100^2

c^2 = 10,000 + 10,000

c^2 = 20,000

c = 141.42 meters

Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.

100 meters + 100 meters - 141.42 meters = 53.58 meters

Learn more about Pythagorean Theorem here: brainly.com/question/343682

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4 0

1 year ago

i dont understand this at all, please dont give me an answer i just need someone to explain it to me if so, thank you <3

NNADVOKAT [17]

Answer: Multiply the diameter by Pi, which in school lessons usually just use 3.14

Step-by-step explanation:

So 3.14 multiplied by the diameter of 9.

please mark brainliest

6 0

2 years ago

Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.

kow [346]

Answer: The triangles are not similar.

Step-by-step explanation:

Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.

<em>For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.</em>

Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

$\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24$

Since we matched corresponding sides, we can now check whether they have the same ratio).

$\frac{18}{14}=\frac{20}{15}=\frac{32}{24}$

$\frac{9}{7}=\frac{4}{3}=\frac{4}{3}$

Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their

4 0

2 years ago

Anyone know the answer?!

Lisa [10]

Answer:the first option

Step-by-step explanation:

5 0

3 years ago

Solve<br> 3x+1=x+5<br> The solution is x

solong [7]

Answer:

x=2

Step-by-step explanation:

3x+1=x+5

Subtract x from each side to get all the variables on one side

3x-x+1=x-x+5

2x+1 = 5

Subtract 1 from each side to get all the constants on the other side

2x+1-1 = 5-1

2x= 4

Divide each side by 2

2x/2 =4/2

x =2

5 0

3 years ago

Read 2 more answers