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3 years ago

Evaluate 9C5 and 11P4 .

1 answer:

7 0

$9C5=\dfrac{9!}{5!4!}=\dfrac{6\cdot7\cdot8\cdot9}{2\cdot3\cdot4}=6\cdot7\cdot3=126\\\\
11P4=\dfrac{11!}{7!}=8\cdot9\cdot10\cdot11=7920$

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Answer:

You should use MathPapa.

Step-by-step explanation:

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3 years ago

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take

Allisa [31]

Answer:

1/30 of a ton

Step-by-step explanation:

Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

4/5 of a ton were remove from the site.

Amount of a ton at the site = $\frac{1}{3}+ \frac{1}{2}- \frac{4}{5}$

Solve the equation by finding common denominators (when the bottom numbers are the same).

$(\frac{1}{3}+ \frac{1}{2})- \frac{4}{5}$ Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.

For 1/3 to become ?/6, multiply top and bottom by 2.

For 1/2 to become ?/6, multiply top and bottom by 3.

$(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}$

Now we can add the numerators together over the same denominator.

$\frac{5}{6}- \frac{4}{5}$

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For 5/6 to become ?/30, multiply top and bottom by 5.

For 4/5 to become ?/30, multiply top and bottom by 6.

$\frac{25}{30}- \frac{24}{30}$

Subtract the numerators:

$\frac{1}{30}$ Answer in tons

Therefore there was 1/30 of a ton of rock left at the construction site.

7 0

3 years ago

Read 2 more answers

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or co

Zepler [3.9K]

Answer:

Permutation is used.

No. of arrangements = 1260

Step-by-step explanation:

Permutation is used for choosing & arrangement of 'r' out of 'n' objects, when sequence is important.

Total no. of alphabets in CORRECT = 7

C is repeated twice, R is repeated twice

So, Total No. of arrangements = 7 !

(2!)(2!)

= 5040 / 4

= 1260

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3 years ago

A scuba diver used the expression below to describe his position in relation to sea level.

alex41 [277]

It is the first statement. It is positive two, so it’s above sea level. We can immediately get rid of the last two statements. Then, it is negative 20. The is 18 feet below sea level, because 2-20 is -18. Positive 8 shows rising up by 8 feet. The correct statement is the first one.

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3 years ago

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PLS HELP I NEED IT I will give u points

loris [4]

Answer:

15b

Step-by-step explanation:

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3 years ago