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Elanso [62]
2 years ago
14

How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 stude

nts ? In how many ways can the committee of 7 members be selected ?
Mathematics
1 answer:
Marina86 [1]2 years ago
3 0

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795

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Find two irrational numbers between 0.3 and 0.7?
Vesnalui [34]

Answer:

0.3101001000......

0.410100100010000....

Step-by-step explanation:

To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.

Rational number is any number that can be expressed in fraction of form p/q. Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663

Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.

For example: 3.44444..... can be expressed as rational number 3.45.

But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.

We can find infinite number of irrational numbers in between two rational numbers.

<u>Irrational numbers in between 0.3 and 0.7:</u>

0.3101001000......

0.410100100010000....

0.51010010001.......

0.6101001000....

There are many others. We can choose any two as answers.


6 0
3 years ago
Elena uses 12 red beads to make 4 bracelets how many red beads will Elena need to make 12 bracelets
Schach [20]

Answer:

36

Step-by-step explanation:

u need 12 to make 4 bracelets

4 bracelets x 3 = 12 bracelets

12 beads x 3 = 36 beads

7 0
3 years ago
Plz Help NO LINKS NO LINKS
Ann [662]

Answer:

The second one is correct.

6 0
3 years ago
I need help pls answer this!!!
Digiron [165]

Answer:

90

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve this equation:<br> 85-(6x+11)=6(x+8)+x
Lady_Fox [76]
85−(6x+11)=6(x+8)+x
Step 1: Simplify both sides of the equation.<span><span>85−<span>(<span><span>6x</span>+11</span>)</span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span>85+<span><span>−1</span><span>(<span><span>6x</span>+11</span>)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span>(Distribute the Negative Sign)<span><span><span>85+<span><span>−1</span><span>(<span>6x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(11)</span></span></span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span>6<span>(<span>x+8</span>)</span></span>+x</span></span><span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span><span>(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(8)</span></span></span>+x</span></span>(Distribute)<span><span><span><span><span>85+</span>−<span>6x</span></span>+</span>−11</span>=<span><span><span>6x</span>+48</span>+x</span></span><span><span><span>(<span>−<span>6x</span></span>)</span>+<span>(<span>85+<span>−11</span></span>)</span></span>=<span><span>(<span><span>6x</span>+x</span>)</span>+<span>(48)</span></span></span>(Combine Like Terms)<span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span><span><span><span>−<span>6x</span></span>+74</span>=<span><span>7x</span>+48</span></span>Step 2: Subtract 7x from both sides.<span><span><span><span>−<span>6x</span></span>+74</span>−<span>7x</span></span>=<span><span><span>7x</span>+48</span>−<span>7x</span></span></span><span><span><span>−<span>13x</span></span>+74</span>=48</span>Step 3: Subtract 74 from both sides.<span><span><span><span>−<span>13x</span></span>+74</span>−74</span>=<span>48−74</span></span><span><span>−<span>13x</span></span>=<span>−26</span></span>Step 4: Divide both sides by -13.<span><span><span>−<span>13x</span></span><span>−13</span></span>=<span><span>−26</span><span>−13</span></span></span><span>x=2</span><span>Answer:
x=2</span>
3 0
3 years ago
Read 2 more answers
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