1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
14

There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are

possible?720 28 20,160 262,144
Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)=\frac{n!}{r!(n-r)!}

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)=\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3

5. C(8, 6)=\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
You might be interested in
Joe has finished 14 of the 30 lessons in his piano book. Lindsey has finished the same percent of lessons from her piano book, b
Ksenya-84 [330]

Answer:

Step-by-step explanation:

14 is 46.67% of thirty so you’d need to find out what 46.67% of 45 is which would be 21

Hope this is right and it helped XD

8 0
3 years ago
Read 2 more answers
uppose that​ Mary's utility function is​ U(W) = W0.5​, where W is wealth. She has an initial wealth of​ $100. How much of a risk
Stels [109]

Note that U(W) = W^{0.5}

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function,  U(W) = W^{0.5}

Mary's initial wealth = $100

The gamble has a 50% probability of  raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, E_w

E_{w} = (0.5 * $115) + (0.5 * $77)

E_{w} = 57.5 + 38.5

E_{w} = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375

Mary's risk premium is $0.9375

7 0
3 years ago
2. A recipe calls for 2 1/3 cups of flour and 1/8 cup of baking soda "you are
Inga [223]

Answer:18.7 or 56/3 cup of flour

Step-by-step explanation:

The solution is in the attached file

5 0
2 years ago
How do I solve this?
Ghella [55]
The product of the two segments from the two chords are equal.

4(4+5)=(x-2)(x-2+x+4) or 36=(x-2)(2x+2) or x^2-x-20=0 or (x-5)(x+4)=0

So x=5.
8 0
3 years ago
A bucket of chicken had 12 pieces and cost $9.48. After 3pm it was on sale for $0.10 off per piece. What was the sale price per
elixir [45]

<u>Answer:</u>

The sale price per piece of chicken was $0.69

<u>Step-by-step explanation:</u>

• We have to first calculate the price of 1 piece of chicken when 12 pieces cost $9.48.

Original price per piece = $9.48 ÷ 12

                                        = $0.79

• According to the question the price per piece decreased by $0.10 during the sale.

∴ Sale price per piece = $0.79 - $0.10

                                     = $0.69

7 0
2 years ago
Other questions:
  • Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes
    12·1 answer
  • The ratio of pink marbles to white marbles is 1:5 what percent of bag is pink marbles
    11·1 answer
  • Fatima deposits $600 in an account that pays 3.65% annual interest compounded daily. Use the fact that there are approximately 3
    10·1 answer
  • Can you please help with the first question!!!!
    9·2 answers
  • Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all poss
    8·1 answer
  • What's the unit fraction of 23/138?
    5·2 answers
  • Can anyone help me with this problem???
    13·1 answer
  • Please help me with these questions! Thanks
    6·1 answer
  • Answer this please I’ll give brainlest if you answer it correctly!
    13·2 answers
  • Can someone please solve
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!