In how many ways can a committee of two men and two women be formed from a group of nine men and nine women?

Answers

Answer 1
Answer:  1296 different committees

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

Explanation:

We have 9 men and we want to select 2 of them. The order doesn't matter. If order did matter, then we would have 9*8 = 72 permutations. Since order doesn't matter, we have instead 72/2 = 36 combinations. The reason why order doesn't matter is because no person outranks another on a committee. Any given seat is the same as anyone else. This is excluding any chairperson of course.

So we have 36 ways to select the men. There are also 36 ways to select the women as well for the exact same steps as listed above. This is due to there being 9 women total and we're selecting 2 of them.

Since there are 36 ways to select the two men, and 36 ways to select the two women, this leads to a total of 36*36 = 1296 different committees

It might help to think of a table that has 36 rows and 36 columns. Each row could represent a different two-person group of men while each column represents a different two-person group of women. The intersection of a given row and column would then form a unique four-person committee. So that may help visually show why there are 36*36 = 1296 different committees (each committee is an inner cell).


Related Questions

find the area of the parallelogram​

Answers

Answer:

answer: 12

Step-by-step explanation:

You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so

2.5 × 4.8 = 12 Hope this helps!

Factor the following: x^2-7

Answers

Answer:

the answer is 0

hope it helps have a nice dayyy

PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?

Answers

Answer:

352.

Step-by-step explanation:

The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.

So the sum = 2*4 + 43*8

= 352.

Use the law of sines to complete an expression that represents the angle measure x

Answers

Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x

The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.

Answers

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.

Answers

answer is B cuz if x for example is 3 if we multiplied it by 2 it will be even

A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?

A 3
B 6
C 10
D 12

Answers

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

a circle is inscribed in a equilateral triangle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

Answers

Answer:

60%

Step-by-step explanation:

Im almost positive this is right if not sorry have a blessed day :)

What is the radius of the circle?

Answers

Answer:

8×ED=3×15

ED=45/8

the radius is the half of the diameter

so its 45/16

Answer:

[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]

The data below represents the number of practices each member of Nidhi's ski team attended.

\qquad25,28,29,29,30,34,35,35,37,3825,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38

HELP









Which box plot correctly summarizes the data?

Answers

The right box plot that summarizes the data should look like the one constructed below in the diagram attached.

We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.

Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32

Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.

Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.

To learn more about box plots;

https://brainly.com/question/14277132

#SPJ1

please help asap will mark brainliest for correct awnser

Answers

Answer:

Option 3

Step-by-step explanation:

The boiling point of jet fuel is 329 Fahrenheit round to the nearest degree what is the temperature in degrees Celsius use the formula 9/ 5 Celsius +32

Answers

Answer:

The temperature in degrees Celsius is 165

Step-by-step explanation:

As given

The conversion formula of Fahrenheit to Celsius is

(°F − 32) × 5/9 = °C

Where

F = temperature in Fahrenheit

Substituting the given values, we get -

[tex](329 -32)*\frac{5}{9} \\297 * \frac{5}{9}\\33*5\\165[/tex]

The temperature in degrees Celsius is 165

5(y+25)=−13 what is y

Answers

Answer:

y = -27.6

Step-by-step explanation:

To solve for y, you need to isolate the variable on one side of the equation. [tex]5(y+25)=-13[/tex] ⇒ [tex]y + 25 = -2.6[/tex] ⇒ [tex]y = -27.6[/tex].

Answer:

-27.6

Step-by-step explanation:

[tex]5(y + 25) = -13[/tex]

First, distribute the problem.

[tex]5y + 125 = -13[/tex]

Secondly, subtract 125 from -13 and 125.

[tex]125 - 125 = 0[/tex]

[tex]-13 - 125 = -138[/tex]

Now, we are left with 5y = -138.

Lastly, we divide -138 by 5.

[tex]-138 / 5 = -27.6[/tex]

Therefore, y is -27.6.

Here's an attachment to make this explanation clearer.

HELP ASAP!!!

An investor bought 1,500 shares of stock for $6 a share. He estimates the probability that the stock will rise to a value of $25 a share is 24%, and the probability it will fall to $2 a share is 76%. What is the expected value of the investor's profit from buying the stock?

A: $13,560
B: $9,120
C: $6,720
D: $2,280​

Answers

The answer is gotta be a



NEED HELP PLZ ON ASSIGNMENT

Answers

Answer:

1 and -3

Step-by-step explanation:

To solve for the roots (x-1)(x+3) set x-1 to = 0 and solve for x. Same thing for x+3.

Answer:

1, and -3

Step-by-step explanation:

So when looking for roots, we take our quadratic equation that is in factored form, and set each partheasese to 0:

x-1=0 and x+3=0

Now just subtract and add the -1 and +3 to both sides:

x=1 and x=-3

These are your 2 answers for the quadratic.

Hope this helps!

Which has a larger area? A triangle with a base of 15ft and a height of 25
feet, or a square with sides of 14ft *
Triangle
Square
They both have the same area.

Answers

Answer:

Square

Step-by-step explanation:

Area of triangle = 1/2 * b * h

= 1/2 * 15 * 25

= 187.5 ft²

Area of square = side * side

= 14 * 14

= 196 ft²

Comparing both areas, it is clear that square have a larger area.

Homemade applesauce is one of Duncan's favorite foods, so he bought 10 pounds of apples at the farmers' market. His applesauce recipe says that 8 ounces of apples make 1 cup of applesauce. How many cups of applesauce can he make with 10 pounds of apples?

Answers

Answer:

20 cups of applesauce

Step-by-step explanation:

8 ounces = 0.5 pounds

Pounds of apples : cups of applesauce

0.5 pounds : 1 cup = 10 pounds : x cups

0.5/1 = 10/x

0.5*x = 1*10

0.5x = 10

x = 10/0.5

x = 20 cups of applesauce

10 pounds of apples will make 20 cups of applesauce

Someone help please!!!!

Answers

Answer:

26.563, 1.977

Step-by-step explanation:

I will be honest I'm not 100% sure but i believe that the total distance all together is 26.563. I simply added all the distances.

Jada ran 1.977 miles further than Noah.

I'm so sorry if im wrong hope this helps though <3

HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?

Answers

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]

Using Identity :-

[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]

So that :-

[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]

We have :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]

Hence the required answer is -1/4.

The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for ​.

Answers

Answer:

50.27

Step-by-step explanation:

remember that the circumference of a circle is 2πr

so 3.15x8 and then multiply by two

Answer:

200.96 ft²

Step-by-step explanation:

Step 1: Define/formula

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve

According to the word problem, the radius is 8.

From here, we plug the numbers into the formula.

[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]

Step 3: Conclude

Therefore, the area of this circle is 200.96 ft.²

Mrs. Giavis has 26 marbles in a bag. She has 13 blue marbles, 10 red marbles, and 3 yellow marbles. What is the probably that Mrs. Giavis will pick a blue marble, not replace it, and then randomly pick a red marble?

Answers

Given:

Total number of marbles = 26

Number of blue marbles = 13

Number of red marbles = 10

Number of yellow marbles = 3

To find:

The probability of getting a blue marble then a red marble (without replacement).

Solution:

Total number of marbles = 26

Number of blue marbles = 13

Probability of getting a blue marble is first draw is:

[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]

[tex]P(Blue)=\dfrac{13}{26}[/tex]

[tex]P(Blue)=\dfrac{1}{2}[/tex]

After drawing 1 marble, the remaining number of marbles in the bag is 25.

Probability of getting a red marble is second draw is:

[tex]P(Red)=\dfrac{\text{Number of red marbles}}{\text{Remaining number of marbles}}[/tex]

[tex]P(Red)=\dfrac{10}{25}[/tex]

[tex]P(Red)=\dfrac{2}{5}[/tex]

Now the probability of getting a blue marble then a red marble (without replacement) is:

[tex]P(\text{Blue then red})=P(Blue)\times P(Red)[/tex]

[tex]P(\text{Blue then red})=\dfrac{1}{2}\times \dfrac{2}{5}[/tex]

[tex]P(\text{Blue then red})=\dfrac{1}{5}[/tex]

Therefore, the probability of getting a blue marble then a red marble (without replacement) is [tex]\dfrac{1}{5}[/tex].

whats the answer to this ill give brainliest

Answers

Answer:

80

Step-by-step explanation:

110-180=70

30+70=100

100-180=80

Answer:

I think the answer is 80

Step-by-step explanation:

Can someone help me

Answers

I'll help.

A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?

it's easy, you only need to divide 15 by 5.

Like this :

15÷5= 3

because 5×3 = 15 , so you just need to flip it over

so, the student need 3 minutes to solve 5 problems


P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and

SQR = 46°.
Work out

RPQ

Answers

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°

Find the measure of the missing angles.

g=
h=
m=
k=

(NO FILES) YOU WILL GET MARKED BRAINLY :)!!

Answers

okay with the vertical angles theorem we know that the angles across from each other are congruent so that immediately tells us g=92°.
then the straight line that h and 92° is on =180 so we can use that to solve for h. so 180-92=88. so h =88.
same rules apply to the lower intersection. k=91° and 91+m=180. so m=89°

Answer:

g. 92*

h. 88*

m. 89*

k. 91*

Step-by-step explanation:

To find h and m: All of the angles on a straight line added up equals 180*. So if there are two angles, the sum of them must equal 180* (angle A + angle B = 180*)

So in this case we have angle h + 92* = 180* using algebra, we subtract 92 from both sides and we get angle h = 88*

If you want to check, add 92 + 88 = 180.

Also angle m + 91* = 180*. Same thing as above, subtract 91 from both sides and we get angle m = 89*

If you want to check, add 91 + 89 = 180.

When you have two straight lines intersecting (crossing), the opposing angles at that crossing are going to be equal. So in this case angle g is opposite from the anbgle that we know is 92*, so angle g is also 92*. Same thing for angle k, we know the angle opposite angle k is 91*, so we know that angle k is also 91*.

answer please no linkd or files

Answers

the answer is F

or x=3

Hope this helped!

Enter the decimal equivalent of 53/100

Answers

decimal : 0.53
percentage : 53%

Help Please!

A block of cheese measures 8cm by 6cm by 4cm. A cubical piece of side 2cm is cut off from it.

(a) What volume of the cheese is left?

(b) The piece left is cut into 12 equal pieces. What is the volume of each of these 12 pieces?​

Answers

Answer:

a) 184cm³  b) 15.3cm³

Step-by-step explanation:

A) Vol. of block of cheese= L×B×H= 8cm×4cm×6cm= 192cm³

    Piece of cheese cut out= S×S×S= 2cm×2cm×2cm= 8cm³

    Remainder= 192cm³ - 8cm³ = 184cm³

B) Remainder = 184cm³ is cut into 12 equal pieces

   Each pieces = 184cm³ ÷ 12 = 15.3cm³

Jajakskssjjsskzkzjjzzjsjsjsjzjzjzj please answer

Answers

Answer:

well it stopped on the 8 intercept means stop or cut off so

Step-by-step explanation:

i's say 8

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

so start by setting up the problem and since it’s a 90* angle, set it equal to 90

x+79+10=90

Then Combine like terms

x+89=90

subtract 89 from each side

x=1

Answer:

x = 51.5

Step-by-step explanation:

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