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3 years ago

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

Mathematics

2 answers:

Svetlanka [38]3 years ago

3 0

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

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

olga55 [171]3 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.

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Properties of interger Exponent

liraira [26]

Answer:

<em><u>Answer is below</u></em>

Step-by-step explanation:

10^0

4 0

3 years ago

A sequence can be generated by using an=4a(n-1)

WITCHER [35]

This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the $a_n = 4a_{n-1}$ equation. Let's use 2 to make it simple. If you plug in 2, you get:
$a_2 = 4a_{2-1}\\
a_2 = 4a_1$
Remember that the subscripts (the small numbers in the corner) are simply the term number. $a_1$ is term 1, $a_2$ is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, $a_1$ = 6. That makes the next four terms:

Term 2
$a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24$

Term 3
$a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96$

Term 4
$a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384$

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0

3 years ago

The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under;

docker41 [41]

Answer:

a) 51.4

b) answer attached

c) 48.59% female

Step-by-step explanation:

a) Male driver = 100-48.6 = 51.4%

b) answer attached below

c) probability that out of 20-64 group a randomly selected sample is female

( 39.54 ÷ 81.36 ) x 100

= 48.59% chance of her being a female

Download docx

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=108cm%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title="108cm {?}^{2} " alt="108cm {?}^{2} " a

scoundrel [369]

A(base)=6*6=36
A( triangle)=1/2*(base of the triangle)*height( of the triangle)=1/2*6*4=12
one base +4 triangles=36+4*12=36+48 =84 cm²

8 0

3 years ago

There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these

Mashutka [201]

Answer:

40% students play the saxophone.

Step-by-step explanation:

Given:

Total Number of students who play woodwind instrument = 45

Number of students who play saxophone = 18

We need to find the percent of students who play saxophone.

Solution:

Now we can say that;

To find the percent of students who play saxophone we will divide Number of students who play saxophone by Total Number of students who play woodwind instrument and the multiply by 100.

framing in equation form we get;

percent of students who play saxophone = $\frac{18}{45}\times100= 40\%$

Hence 40% students play the saxophone.

3 0

3 years ago