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Ghella [55]
3 years ago
10

Please help!! You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you

do this?
Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer: 20ways

Step-by-step explanation:

Number of candies = 7

Number of kids = 4

Since each kid must receive at least one candy ;

Therefore number of candies left to ration is

7 - 4 = 3 candies ; among 4 kids.

To share 'n' identical object among 'r' number of individuals can be expressed in the form :

[n+(r-1)Cr-1]

n = 3 ; r = 4

[3+(4-1)C4-1] = 6C3

Recall: nCr = n! / (n-r)!r!

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

= (6 * 5 * 4) / (3 * 2 * 1)

= 120 / 6

= 20ways

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The answer would be mercury.
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A company makes pens. They sell each pen for $99.
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Answer:

a) Profit = 84000

b) at break even number of pens sold = 46

Step-by-step explanation:

Profit = Selling price - Cost price

Total revenue generated = 99 * 1000

Total revenue generated = 99000

Total cost on making the pen  = 11 * 1000

Total cost on making the pen = 11000

Total cost including the initial cost = 11000 + 4000

Total cost including the initial cost =  15000

Profit = 99000 - 15000

Profit = 84000

Break even is when the cost are equal to Revenue thus no profit or loss

Revenue = total cost (break even)

9x = 1x + 4000

9x - x = 4000

8x = 4000

x = 500

At breakeven Revenue = 9 * 500

At breakeven Revenue =  4500

since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)

at break even number of pens sold = 46

4 0
3 years ago
A committee of 4 people is randomly selected from a group of 5 Republicans and 6 Democrats. What is the probability that the com
IgorLugansk [536]
We have 5 Republican Candidates and 6 Democratic Candidates

We have a total 11 candidates to choose from

First pick of Democratic Candidates = 6/11
Second pick of Democratic Candidates = 5/10
Third pick of Democratic Candidates = 4/9
Fourth pick of Democratic Candidates = 3/8

The probability of four Democratic candidates in the committee is
\frac{6}{11}×\frac{5}{10}×\frac{4}{9}×\frac{3}{8} = \frac{360}{7920} = \frac{1}{22}


4 0
3 years ago
find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.​
Svet_ta [14]

Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º

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