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
Igoryamba
3 years ago
14

There are nine men and ten women in a club; in how many ways can a committee of four be formed?

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0
There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.

Permutations: \frac{n!}{(n-r)!}
Combinations: \frac{n!}{r!(n-r)!}
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.

19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is 93024, if not, then your answer is 3876.

:)
You might be interested in
Factor the following polynomial.<br> 98x3 – 18x
grigory [225]

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

3 0
2 years ago
Read 2 more answers
What is 5/10 + 3/2 = ?
Fittoniya [83]
3/2=1 & 1/2
5/10 = 1/2
1&1/1/2 = 2
4 0
3 years ago
Determine if f(x, y) = 10 − x^2 − y^2
Eva8 [605]

Answer:

Step-by-step explanation:

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. x is treat any other variable as a constant.

dz/dx=0-2x-0

dz/dx=-2x

Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.

Since this result is negative, it mrans as x increases z decreases.

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. y is treat any other variable as a constant.

dz/dx=0-0-2y

dz/dx=-2y

Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.

Since this result is positive it mrans as y increases z decreases.

8 0
3 years ago
Compute your gross pay if you worked a total of 48 hours this week at a
alisha [4.7K]
Thhfjjyf this Ubisoft
5 0
3 years ago
The savings in a bank account can be modeled using S = 1250e^0.45t, where t is the number of years the
morpeh [17]

Using the given exponential function, it is found that it will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

<h3>Exponential function:</h3>

The <em>exponential function</em> that models the savings in the bank account is given by:

S(t) = 1250e^{0.45t}

  • In which t is the time in years that the money has been in the account.

The time to double from the initial amount deposited of $1250 is t for which S(t) = 2(1250) = 2500, hence:

S(t) = 1250e^{0.45t}

2500 = 1250e^{0.45t}

e^{0.45t} = \frac{2500}{1250}

e^{0.45t} = 2

\ln{e^{0.45t}} = \ln{2}

0.45t = \ln{2}

t = \frac{\ln{2}}{0.45}

t = 1.5

It will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

To learn more about exponential functions, you can take a look at brainly.com/question/14855561

8 0
2 years ago
Other questions:
  • Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack
    11·1 answer
  • Write the following decimals as fractions in simplest form
    7·2 answers
  • About how many inches are in 3 meters
    6·1 answer
  • Write (-3, 5) and (-2, -6) standard form
    5·1 answer
  • A pony in a pony ride takes 42 seconds to make one circuit around a circle. The circumference of a circle is 84 m. What is the a
    9·2 answers
  • Two pounds of dried cranberries call $5.04 , 3 pounds of dried cranberries cost $7.56, and 7 pounds of dried cranberries cost $1
    6·2 answers
  • The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph of g(x).
    9·2 answers
  • Write the general form equation that passes through (0,1) and (-6,9)
    13·1 answer
  • Help is appreciated ❤<br><br> Simplify the radical expression -2 √250
    15·1 answer
  • HURRY! PAST DUE MATH HOMEWORK!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!