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
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

You might be interested in
Help i’ll give extra points dawg
Liula [17]
(5b, -1z)
You have to multiply the B and the C by 5 to get the original equation or you could divide the original equation by 5
3 0
3 years ago
Solve each equation.
ankoles [38]

Answer:

A. x=2

b. x=28/3 and in decimal it is x=9.3 and in fraction it is

x= 9 1/3

c. x=20

d. x=20/11 in decamal x=1.81 in fraction it is x=1 9/11

Step-by-step explanation:

please give brainly

3 0
2 years ago
Please answer this and will marked as brainlist ​
xeze [42]
<h3>Answer: 1</h3>

where x is nonzero

=======================================================

Explanation:

We'll use two rules here

  • (a^b)^c = a^(b*c) ... multiply exponents
  • a^b*a^c = a^(b+c) ... add exponents

------------------------------

The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.

Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)

-------------------------------

After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2),  (b^2-c^2) and (c^2-a^2)

Add up those exponents (using rule 2 above) and we get

(a^2-b^2)+(b^2-c^2)+(c^2-a^2)

a^2-b^2+b^2-c^2+c^2-a^2

(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)

0a^2 + 0b^2 + 0c^2

0+0+0

0

All three exponents add to 0. As long as x is nonzero, then x^0 = 1

4 0
3 years ago
The table shows the outputs y for different inputs x:
Rasek [7]
Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:
f(x)=5x-21\\f(x)=5(11)-21\\f(x)=55-21\\f(x)=34
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
f(x) = 5x-21\\99=5x-21\\99+21=5x-21+21\\120=5x\\120/5=5x/5\\24=x
5 0
3 years ago
Read 2 more answers
Which number line represents the expression 7 + (−3) + (−2) +4?
vekshin1

The <u>answer would be 6</u>. The number line which shows you the number 6 or any solution for 6 would be your answer.

3 0
3 years ago
Other questions:
  • 4
    12·2 answers
  • Find sin(a) in the triangle? <br> A.)12/35<br> B.)12/37<br> C.)35/12<br> D.)35/37
    7·1 answer
  • For triangle TRI the following facts are given:
    11·1 answer
  • The point where the graph intersects the y-axis represents the beginning of the
    15·1 answer
  • To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. S
    15·1 answer
  • Solve for x!
    14·2 answers
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • A variable that can be discrete or continuous is​
    11·2 answers
  • What is a quadratic polynomial function with zeros 3 and -3?​
    8·1 answer
  • Can someone help me with all these!im giving brainliest:)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!