A country has two political parties, the Reds and the Blues. The 100-member senate has 4444 Reds and 5656 Blues. Each party must elect a chair and a vice chair from their party's members, and one person cannot be elected for both. How many different outcomes are there for the chair and vice chair elections of both parties

Answers

Answer 1

Answer:

There are 5,827,360 different outcomes.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In each party:

The order in which the people are selected is important(first is chair, second vice chair), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Reds:

Two from a set of 44. So

[tex]P_{(44,2)} = \frac{44!}{(44-2)!} = 44*43 = 1892[/tex]

Blues:

Two from a set of 56. So

[tex]P_{(56,2)} = \frac{56!}{(56-2)!} = 56*55 = 3080[/tex]

How many different outcomes are there for the chair and vice chair elections of both parties?

Considering both, by the fundamental counting principle:

1892*3080 = 5827360

There are 5,827,360 different outcomes.


Related Questions

A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.

Answers

Answer:

p= 8000n-8000c

Step-by-step explanation:

8000

p= n - c

or

p= 8000n-8000c

Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.

Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold

If the code AXISEM represents the number 9.54207, what number is represented by the code XlS + SEX? a.AIM b.MIM c.MES d.SIX​

Answers

Answer:

B. MIM

Step-by-step explanation:

A = 9

X = 5

I = 4

S = 2

E = 0

M = 7

XIS = 542, SEX = 205

542 + 205 = 747

747 = MIM

this table shows somes elements of a function. which ewuation is most likely a rule for the function? pls help i’ll give brainliest

Answers

9514 1404 393

Answer:

  G.  f(x) = x² -3x -1

Step-by-step explanation:

You can try the first line of the table in each of the functions to see which one works.

  F. -(-2) -1 = 1 ≠ 9

  G. (-2)² -3(-2) -1 = 4 +6 -1 = 9 . . . . this one works

  H. (-2)² -2(-2) -1 = 4 +4 -1 = 7 ≠ 9

  J. 2(-2)² -1 = 8 -1 = 7 ≠ 9

I am Looking For help with applications of inductive reasoning
1=1*1
1+9=2*5
1+9+17=3*9

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]

[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]

[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Triangle A
Triangle B
Triangles A and B are
O A. only similar
O B. only congruent
O C. both similar and congruent
D. none of the above

Answers

I think it’s A
hope this helps

Does the point (3,25) lie on the line y = 6x + 7?

Answers

yes it! does lie on the line

Answer

Yes

Step-by-step explanation:

Replace x and y

[tex](3 \: \: \: 25)[/tex]

[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]

So, the point (3,25) lie on the line y=6x+7

hope this helps you.

Have a nice day!

Can someone help me with some math probelms

Answers

Answer:

3

Step-by-step explanation:

jade owl had 3 more extra than queen bee

Answer:

30

Step-by-step explanation:

one book symbol is 10 books, there's 3 for jade and 6 for queen. 60-30

pic is there answer 20 points

Answers

Answer:

(x+8)^2=0

Step-by-step explanation:

x^2+16x+64=0

8x8=64

8+8=16

Therefore, 8 fits

(x+8)^2=0

If this helps please mark as brainliest

the answer is (x+8) squared(2)=0

Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41

Answers

Answer:

3.8

Step-by-step explanation:

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

Find the length of x, round too the nearest tenth

Answers

Answer:

Step-by-step explanation:

take 34 degree as reference angle

using tan rule

tan 34=opposite/adjacent

0.67=x/16

0.67*16=x

10.72=x

10.7=x (after converting it to the nearest tenth)

The tree nearest to the classroom is 30 feet tall.
In another 10 years it will grow 5 more feet.
If the variable h stands for the height of the tree 10 years
from now,
which of the following units could apply to that variable?

A. Feet

B. Trees

C. Pounds

D. Years

Answers

Answer: Feet

Step-by-step explanation:

A. Feet because that is the unit of measure you are working with in that case.

In the graph above, which vertical line (v) and horizontal line (H) can be used to graph point C

Answers

Answer:

V:  x= -3

H:  y= -3

Step-by-step explanation:

1. In two similar triangles, find the ratio of:
b. the perimeter, if the areas are 50cm and 16cm.​

Answers

Answer:

54cm and 36cm

Step-by-step explanation:

triangle a : triangle b

50cm² : 16cm²

25 : 8

thus,

area of triangle a :

2cm×25cm

=50cm²

area of triangle b :

2cm×16cm

=32cm²

then,

perimeter of triangle a:

2cm+2cm+25cm+25cm

=54cm

perimeter of triangle b:

2cm+2cm+16cm+16cm

=36cm

There are 40 students in a class. 4 of them are absent, then find the
percent of present students.

Please help by writing down the steps as well.​

Answers

Answer:

90%

Step-by-step explanation:

present students:40-4=36

36/40*100

=90%

Answer:

90% are present

Step-by-step explanation:

40-4=36

36 are present

36/40 = x/100

36x100=3600

3600/40=90

answer: 90/100 = 90%

Are 1/3 and 3/6 equal equivalent fractions?

Answers

yes they are equivalent fractions

Get brainiest if right?

The sum of four consecutive numbers is two more than three
times the greatest of these numbers. Find the numbers.

Answers

Answer:

1, 2, 3, 4

Step-by-step explanation:

x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)

4X+8=3x+9

x=1

Answer:

5,6,7,8

Step-by-step explanation:

5+6+7+8=26

8*3=24

26-24=2

Which statement is true?

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

B. Only some rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rectangles have exactly 1 pair of parallel sides.

C. All rectangles are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rectangles have exactly 1 pair of parallel sides.

D. Only some rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rectangles have 2 pairs of parallel sides.

Answers

Answer:

The correct answer is A I believe . . .

Answer:

A. All rectangles are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rectangles have 2 pairs of parallel sides.

Step-by-step explanation:

Rectangles are parallelograms since they have 2 pairs of parallel sides.  All rectangles also have 4 right angles and 2 pairs of opposites sides that are of equal lengths.

Plane A is flying at 440 mph in the northeast direction relative to the Earth. Plane B is flying at 550 mph in the north direction relative to the Earth. What is the speed of Plane B as observed from Plane A?a. 532 mphb. 860 mphc. 362 mphd. 659 mphe. 669 mph

Answers

Answer:

The speed of plane B relative to plane A is 392.25 mph.

Step-by-step explanation:

Speed of plane A = 440 mph north east

speed of plane B = 550 mph north

speed of plane A = [tex]440(cos 45 \widehat{i} + sin 45 \widehat{j})=311.1 \widehat{i} + 311.1 \widehat{j}[/tex]

speed of plane B = [tex]550 \widehat{j}[/tex]

Speed  of plane B with respect to plane A is

= speed of plane B - speed of plane A

[tex]=550 \widehat{j} - 311.1 \widehat{i} - 311.1 \widehat{j}\\\\=-311.1 \widehat{i} + 238.9 \widehat{j}\\\\= \sqrt{311.1^2 + 238.9^2 }\\\\=392.25 mph[/tex]

what is 41393415 in kg?

Answers

Answer:

41393415 in kg is 1.8776E+07, or about 18775737.2.

Step-by-step explanation:

For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.

Which measurement is equivalent to 300 millimeters ? ​

Answers

Answer:

11.811 inches?

7620 millimeters?

A tree is 8 feet and 11 inches tall.
How tall is the tree in meters?
Round to 2 decimal places if necessary.
Round to 2 decimals if necessary.​

Answers

Answer:

2.72 meters

Hope that this helps!

Classify each triangle as right triangle or not right triangle

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

21^2+20^2=29^2

441+400=841

841=841

since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.

Lowest common multiple of 45 and 54

Answers

Answer:

270

Step-by-step explanation:

Answer:

the answer is 270

How to factorise -x^2-4x-5

Answers

Answer:

Step-by-step explanation:

What is the solution to this equation
216 = 62x - 1

Answers

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality  

Algebra II

Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 216 = 6^{2x - 1}[/tex]

Step 2: Solve for x

Rewrite:                                                                                                             [tex]\displaystyle 6^3 = 6^{2x - 1}[/tex]Set:                                                                                                                    [tex]\displaystyle 3 = 2x - 1[/tex][Addition Property of Equality] Add 1 on both sides:                                      [tex]\displaystyle 4 = 2x[/tex][Division Property of Equality] Divide 2 on both sides:                                 [tex]\displaystyle 2 = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 2[/tex]

how do you find volume of sphere, cylinder, cone ? ... explaining please

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is given by :

[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]

Where

r is the radius of the sphere

The formula for the volume of a cylinder is given by :

[tex]V_c=\pi r^2 h[/tex]

Where

r and h is the radius and height of the cylinder

The formula for the volume of a cone is given by :

[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r and h is the radius and height of the cone

Wat is the slope of the line that passes through the points 3,1) and (-2,5)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m=\boxed{-\frac{4}{5}}[/tex]

»»————- ★ ————-««  

Here’s why:  

We can use the slope formula to find the slope of the two points given.

⸻⸻⸻⸻

[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

510.4 in
Scientific Notation I need an answer please

Answers

Answer:

5.104 X 10^2

Step-by-step explanation:

Answer:

510.4 trillion in scientific notation = 5.104 × 1014.

Step-by-step explanation:

This can also be expressed as 5.104 × 10^14, using the caret symbol, or as 5.104e+14, which is called 510.4 trillion in e-notation,

Bryan, Angela, Elan, and Fiona folded some paper flowers for their school fund-raising project. Elan folded one-fifth of the paper flowers and Bryan folded 25% of them. Angela and Fiona folded the remaining ones in the ratio 1:8. Bryan folded 9 more than Elan.a)How many paper flowers did Fiona folded?b)If each bouquet of 10 flowers was sold at $9, how much money did they raise for school?

Answers

Answer:

a) 88

b) 162 $

Step-by-step explanation:

Given Bryan sold 9 more flowers than Elan

1/4 x - 1/5 x = 9

x/20 = 9

x = 180

Flowers with Bryan = 45

Flowers with Elan = 36

45+36 = 81

Remaining flowers = 99

Flowers with Fiona = 8/9 * 99 = 88

Juan plans to use strategies to find 12x380 shows a strategy he could use

Answers

Answer:

3 x 4 x 380

Step-by-step explanation:

The correct strategy that he could use would be

3 x 4 x 380

This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560

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