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Galina-37 [17]
3 years ago
13

a small acting club has 6 members. 3 of the members are to be chosen for a trip to see a Broadway play. how many different 3-mem

ber groups are possible
Mathematics
1 answer:
nignag [31]3 years ago
8 0
A group of k elements can be chosen from a group of n elements in \frac{n!}{k!(n-k)!} ways.

(^6 _3)=\frac{6!}{3!(6-3)!}=\frac{6!}{3! \times 3!}=\frac{3! \times 4 \times 5 \times 6}{3! \times 6}=4 \times 5=20

There are 20 different 3-member groups.
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In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.
Mrrafil [7]

9514 1404 393

Answer:

  47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

  sin(T)/t = sin(R)/r

  sin(T) = (t/r)sin(R) = (10/20)sin(104°)

  T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

  S = 180° -R -T = 180° -104° -29°

  ∠S = 47°

5 0
3 years ago
Plz show work so I can understand thc
Korvikt [17]
It will take two and half hours because if she moves 14 flowers every hour and there 35 left it will take her two hours to move 28 since 14+14 is 28 and it will take half that time to get from 28 to 35 because 35-28 is 7. So you have your two 14s which equal 2 hours and then a 7 which is 30 mins. i’m
8 0
3 years ago
Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9 people eligible for this com
ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

 Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

 = 8C1   =  \hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!}  = \frac{8!}{1!\times 7!}  = \frac{8}{1}  = \hspace{0.1cm}8 \hspace{0.1cm}ways

6 0
3 years ago
Please help me
serious [3.7K]
The answer would be C.
6 0
3 years ago
Rainbow bread company delivered a total of 180 loaves of bread to three markets. Savemart received 12 more loaves than vons. Ral
sasho [114]

Let vons market receive x  loaves. Then savemart received x+12 loaves and Ralphs received x + 12 + 6 = x + 18 loaves, Therefore:-

x + x + 12 + x + 18 = 180

3x + 30 = 180

3x = 150

x = 150/3 = 50  

So vons received 50, savemart received 62 and ralph's received 68 loves.  Answer


8 0
3 years ago
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