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
Mashutka [201]
3 years ago
7

appoint a planning committee with five different members. There are 14 qualified​ candidates, and officers can also serve on the

committee. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified​ candidates?
Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

Pr = \frac{1}{2002}

Step-by-step explanation:

See comment for complete question;

Given

n = 14

r = 5 -- committee members

k = 4 ---- officers (i.e. president, CEO, COO and CFO)

Required

Probability of selecting 5 youngest qualified members

First, we calculate the number of ways the committee can be appointed;

Any 5 members can be part of the committee; This means that we won't consider the order.

So, the number of ways is:

^{14}C_5

This gives:

^{14}C_5 = \frac{14!}{9!5!}

So, we have:

^{14}C_5 = \frac{14*13*12*11*10*9!}{9!*5*4*3*2*1}

^{14}C_5 = \frac{14*13*12*11*10}{5*4*3*2*1}

^{14}C_5 = \frac{240240}{120}

^{14}C_5 = 2002

There can only be a set of 5 young people. So, the probability is:

Pr = \frac{1}{2002}

You might be interested in
Solve If QR = 6x + 1, PR = 14x - 13, and PQ = 5x - 2, find PR
solong [7]

Answer:

P____Q____R

PR= PQ+ QR

(14x-13) = (5x-2)+(6x+1)

14x-13= 11x – 1

14x – 11x = 13–1

3x = 12

x= 12/ 3

x= 4

PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5

If you want (PQ , QR ) this is the solution

PQ =5x-2=5(4)-2=20-2=18

QR =6x+1=6(4)+1=24+1=25

I hope I helped you^_^

7 0
3 years ago
Find the midpoint of NP⎯⎯⎯⎯⎯ given N(2a, 2b) and P(2a, 0).
geniusboy [140]

Answer:

(2a, b )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2}(x₁ + x₂ ), \frac{1}{2}(y₁ + y₂ ) ]

Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus

midpoint = [ \frac{1}{2}(2a + 2a), \frac{1}{2}(2b + 0 ) ] = (2a, b )

4 0
3 years ago
What’s the solution for 6(2m - 3) - 3m= 2m - 18 + m
katen-ka-za [31]

Answer:

12m-18-3m=2m+m-18

9m-18= 3m-18

9m-3m=18-18

6m=0

m=0/6=0

Step-by-step explanation:

5 0
3 years ago
Decompose49.67 to to the nearest tenth
Sunny_sXe [5.5K]
49.7 because on work.com
4 0
3 years ago
Factor Completely'''​
vekshin1

Answer:

4x^2(x-2)(x+6)

Step-by-step explanation:

Factor 4x^2

4x^2(x^2)+4x^2(4x)-4x^2(-12)

4x^2(x^2+4x-12)

4x^2(x-2)(x+6)

<em>good luck, hope this helps :)</em>

5 0
3 years ago
Other questions:
  • The amount of a 500 g sample of a radioactive substance that remains over time is given by the equation , where d is the number
    12·1 answer
  • A yogurt shop offers two different flavors of frozen yogurt (chocolate and vanilla) and three different toppings (sprinkles, cho
    11·1 answer
  • six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na
    11·1 answer
  • 20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS MATH QUESTION !!
    7·1 answer
  • Draw a number line between -5 and 5. Fill the number line with at least 10 rational numbers and 10 irrational numbers and shows
    15·1 answer
  • (2 3/8 + 1 3/4) + 5 7/8<br> What is the answer
    13·2 answers
  • Pls kinda need help <br> lolol
    6·1 answer
  • Help! Will mark brainliest
    13·2 answers
  • Solve for the variable K.<br> m/k=x
    9·2 answers
  • A line passes through the point (2,-8) and has a slope of 4. Write an equation in slope-intercept form for this line.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!