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ElenaW [278]
3 years ago
6

A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 34 teachers, and 4 staff. What is th

e probability that all 3 3 members are administrators? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:0.000810

Step-by-step explanation:

Given

A committee of 3 members is formed using

5 Admin, 34 teachers, and 4 staff

Favorable outcomes are selecting 3 members as Administrators

total members =5+34+4=43

Probability is given by

\Rightarrow P=\dfrac{\text{Favorable}}{\text{Total}}

\Rightarrow P=\dfrac{^5C_3}{^{43}C_3}=\dfrac{10}{43\times 41\times 7}\\\\\Rightarrow P=\dfrac{10}{12,341}=0.000810

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Below is the market for funnel cakes at a small community fair.
podryga [215]

From the graph given, the equilibrium price and quantities are given respectively as;

  • Price = $5
  • Quantity = 6 units of funnel cakes.

<h3>What is the total consumer spending on funnel cakes at the equilibrium point?</h3>

The total consumer spending(TCS) is achieved by finding the product of the price and the quantities at the equilibrium point.

Hence,
TCS = 5 * 6

= 60

<h3>What is the producer surplus and consumer surplus at equilibrium?</h3>

A) The producer surplus is the area of the triangle shaded yellow in the attached image.

Recall that he area of triangle is:

1/2 b *  h

b = 4

h = 6

Hence Area of the RA-Triangle (Producer Surplus) =

1/2 * 4 * 6

= 12

B) The Consumer surplus is the area of the triangle shaded Green in the attached image.

Recall that the area of triangle is:

1/2 b *  h

b = 4

h = 6

Hence Area of the RA-Triangle (Consumer Surplus) =

1/2 * 4 * 6

= 12

<h3>What would be the result if the suppliers charged $6? </h3>

If the suppliers charged $6, then the quantity demanded would drop to 4 units of  funnel cakes. It is demonstrated graphically. Recall that the law of demand and supply indicates that when prices goes up, demand comes down and vice versa.

Graph II illustrates what would happen if a large number of guests entered the fair. It would result to a right-ward shift in the demand curve.

<h3>Does the consumer surplus increase, decrease, or stay the same as a result of the change from part F?</h3>

Yes, there is an increase in the consumer surplus. Now there are more consumers hence the total amount they are willing to pay as an aggregate sum has increased from what was.

Learn more about Equilibrium market conditions:
brainly.com/question/12252562
#SPJ1

4 0
1 year ago
William has a lemonade stand .Yesterday he made $17.55in lemonade sales and today he made $14.02 sales. How much does he have no
Zolol [24]

Answer: 31.57

Step-by-step explanation: 17.55 + 14.02 =31.57

5 0
3 years ago
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kirza4 [7]

Answer:

31 miles

Step-by-step explanation:

If you multiply 0.62 by 50 you will get 31.

Please keep in mind that I am human and make mistakes. This answer could be wrong but this is my opinion on what the answer is.

4 0
3 years ago
Read 2 more answers
Is this correct ? My answers 10 btw. NO BEGINNERS , &amp; whoever answers first gets a thanks :)
borishaifa [10]
The answer would be 54
6 0
3 years ago
2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
bixtya [17]

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

3 0
3 years ago
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