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3 years ago

Fraction Problems

1 answer:

3 0

1 inch is 1/12 of a foot
3 inches is 1/4 of a foot
Number line would be divided into 12. The first spot would be 1/12, the next would be 2/12 and so on. Make a mark at 1/12 for one inch and at 3/12 for 3 inches

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A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot

Zina [86]

Answer:

The number of ways to form the committee is formed = 637065

Solution:

The number of combinations of n things such that m things taken together are given by:-

$C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}$

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed. There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

$\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}$

Hence, the number of ways to form the committee is formed = 637065

7 0

3 years ago

There are 190 students taking band, chorus , or both. If there are 180 students taking band and 60 students in both hand and cho

dimulka [17.4K]

There are 10 students only taking chorus

7 0

3 years ago

Read 2 more answers

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Radda [10]

Answer:

it is 100 because it is bigger

Step-by-step explanation:

because it is bigger

4 0

3 years ago

The diagram shows the ratio of trees Maeve plants to the trees she harvests. Thank u

Sveta_85 [38]

Answer:

Wednesday is 45 to 18.

Thursday is 55 to 22

Step-by-step explanation:

Wednesday: The original ratio was 5 to 2 And the info tells us that the new ratio is ? to 18. To find the first part we have to find how we got from 2 to 18. 2 * 9 = 18. So to find out the first part you do 5 * 9 = 45. We multiply 5 because Thats the original 1st part. We multiply 9 because that's how we got to 18 in the 2nd part. So the answer is 45 for Wednesday.

Thursday: The original ratio was 5 to 2 And the info tells us that the new ratio is 55 to ?. To find the first part we have to find how we got from 5 to 55. 5 * 11 = 55. So to find out the 2nd part you do 2 * 11 = 55. We multiply 2 because That's the original 2nd part. We multiply 11 because that's how we got to 55 in the 1st part. So the answer is 22 for Thursday.

4 0

3 years ago

17.A company produces three sizes of a dog

Aleksandr [31]

Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

7 0

3 years ago