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

True or false you can rely solely upon induction to prove that your conclusion is correct

Answers

Answer:  You can rely solely upon induction to prove that your conclusion is correct is a FALSE STATEMENT. Inductive reasoning is the logical method that is used to yield a probable conclusion with the help of a specific instances

Step-by-step explanation: i hope its correct :>>

Can someone help me please

Answers

Answer: A

Step-by-step explanation:

A h can see it ^ there

graph the solution of the system linear inequalities. Find the vertex of the solution
[tex]x + y \leqslant 5 \\ 4x - y \geqslant 10[/tex]

Answers

Answer:

the second one i think

Step-by-step explanation:

Question is in the image

Answers

Answer:

best i could find hope it helps

Step-by-step explanation:

10.000 1 151,200 1 531, 411 1 1,000,000

Triangle ABC is shown below. What is the length of line segment AC? A o 7 og 2x 3X-7 o 14 o 18 B 4x - 10 С
A :7
B: 9
C: 14
D: 18​

Answers

Answer:

No solution is possible from the given information

Step-by-step explanation:

Triangle ABC is NOT shown below

Without the triangle it's not possible to answer.

Computer World has all computers on sale
for 20% off. If the regular price of a laptop is
$750, what is the sale price?

Answers

the sale price would be $150

Answer:

The sale price is $150

Step-by-step explanation:

1. Turn your percent into a decimal.

20% = 0.20 or 0.2

2. Multiply the decimal by 750.

0.2 x 150 = $150

(i usually use a calculator for this part)

Line p passes through points (5,-4) and (2,7). What is the slope of a line that is perpendicular to line p

Answers

Answer:

3/11

Step-by-step explanation:

First find the slope of the line

m = (y2-y1)/(x2-x1)

    = ( 7 - -4)/(2 - 5)

    = (7+4)/(2-5)

   =11/ -3

We want a line that is perpendicular, so it is the negative reciprocal

-1 / ( -11/3)

+3/11

A line that is perpendicular will have a slope that is 3/11

Kendall is starting a new small business and working everyday to make it a success. She earned $952 in 7 days. Assume she will continue to earn money as the same rate and write this rate as a fraction with 30 in the denominator.

Answers

Answer:

$4080 / 30days

Step-by-step explanation:

In 7 days, Kendall earns $952

In 1 day, she will earn $952 ÷ 7 = $136

Therefore, the rate (r) at which she earns is $136/day. i.e

r =  $136/day               ---------------(i)

To write the rate as a fraction with 30 in the denominator, we multiply both the numerator and denominator of equation (i) by 30 as follows;

r =  $(136x30) / 30 day

r = $4080/30days

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

x = -8, x =0  and x =6

Step-by-step explanation:

f(x) = 0 means when it crosses the x axis or when y = 0

There are 3 places when it crosses the x axis

x = -8, x =0  and x =6

Watch help video
Angel signed up for a streaming music service
that costs $11 per month. The service allows
Angel to listen to unlimited music, but if he
wants to download songs for offline listening, the
service charges $0.50 per song. How much total
money would Angel have to pay in a month in
which he downloaded 25 songs? How much
would he have to pay if he downloaded s songs?

Answers

Answer:

Cost for 25 songs: $23.50

Cost for s songs: .50(s) + 11

Step-by-step explanation:

To solve this problem, we can make an equation in slope-intercept form:

y = mx + b

y represents the total amount of $.

m represents the cost of each song downloaded, or $.50

x represents the number of songs, or 's'

b represents the $11, or the constant.

We have the equation:

y = .50(x) + 11

If Angel downloaded 25 songs, we have the equation:

y = .50(25) + 11

We get y = $23.50

I hope this helps I found the answer

Find the AREA of this shape

Answers

104 square yards

The formula for area of a rectangle is length times width.

A = length x width
A = 13 x 8
A = 104
Since the units on each side are yards, the area is in square yards.
104yd^2
Area=length x width
13x8=104

Pre algebra please help

Answers

Answer:

It's A, D, and F

Step-by-step explanation:

The answer to the question is 8a+26 so everything else that equals that is the answer.

the sum of two numbers is 37 and the greater number is 5 less than twice the Lesser number find the positive intergers ​

Answers

Answer:

x = 14

y = 23

Step-by-step explanation:

x = first number

y = second and greater number

x + y = 37 ⇒ y = 37 - x

y + 5 = 2x

Substitution:

(37 - x) + 5 = 2x

42 - x = 2x

3x = 42

x = 14

y = 37 - (14)

y = 23

will get brainliest!!!!!!What does negative 3 over 8 > −1 indicate about the positions of negative 3 over 8 and −1 on the number line? negative 3 over 8 is located on the right of 0, and −1 is located on the left of 0 negative 3 over 8 is located on the left of 0, and −1 is located on the right of 0 negative 3 over 8 is located on the left of −1 negative 3 over 8 is located to the right of −1

Answers

Answer:

Step-by-step explanation:

[tex]-\frac{3}{8} = - 0.375[/tex]

[tex]- \ 0.375\ > - \ 1[/tex]

Negative 3 over 8 is located on the left of −1 and -1 is located on the right of negative 3 over 8.

ANSWER:

-3/8>-1 INDICATES THAT -3/8 IS TO THE RIGHT OF -1 IN THE NUMBER LINE.

f(x) = 3x + 4 is y =

Answers

Here’s the thing whatever

A survey of 200 families showed that
75 had a dog;
58 had a cat;
25 had a dog and a cat;
77 had neither a cat nor a dog nor a parakeet;
5 had a cat and dog and a parakeet.
How many had a parakeet only?

Answers

Answer:

15 is the answer , the total people who has dogs , cats , parakeets and none is equals to 185 then from 200 you minus 185 which is 15 so 15 people had parakeets only

Need this done tonight please help!

Answers

for the first one I think it’s 127/2

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of bolts. The sample mean bolt length was centimeters. The population standard deviation is known to be centimeters.
What is the test statistic z?What is the p-value?Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of α=0.1?

Answers

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

[tex]H_0:\mu = 16[/tex]

[tex]H_a:\mu>16[/tex]

The test statistics will be:

⇒ [tex]z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }[/tex]

By putting the values, we get

⇒    [tex]=\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }[/tex]

⇒    [tex]=\frac{\frac{0.06}{0.24} }{\sqrt{96} }[/tex]

⇒    [tex]=2.45[/tex]

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ [tex]p-value< \alpha[/tex]

Thus the above is the correct answer.

Help please , thanks I need help please please help ?

Answers

Answer:

6 1/4

Step-by-step explanation:

When you look at the bar graph at the top, you will see that there are 5 of 1 1/4.

If you multiply 5 by 5/4 (which is 1 1/4 converted to an improper fraction), you get 25/4. To convert that to a mixed number, divide 25 by 4 and put the remainder over 4. The final answer should be 6 1/4.

For the X's, just count how many of each number is in the graph above. For example, there should be 2 X's over 1, 5 X's over 1 1/4, 2 X's over 1 1/2, and 2 X's over 1 3/4.

Answer:

 x

     x

     x

x    x     x     x

x    x     x     x

1    1[tex]\frac{1}{4}[/tex]    1[tex]\frac{1}{2}[/tex]    1[tex]\frac{3}{4}[/tex]    2

6 1/4 cups

Step-by-step explanation:

1 1/2     1 1/4    1   1 1/4   1 3/4    1 1/4   1   1 1/4  1 1/4   1 1/2   1 3/4

There should be 2 x's for 1, 5 x's for 1 1/4, 2 x's for 1 1/2, 2x's for 1 3/4, and zero x's for 2.

     x

     x

     x

x    x     x     x

x    x     x     x

1    1[tex]\frac{1}{4}[/tex]    1[tex]\frac{1}{2}[/tex]    1[tex]\frac{3}{4}[/tex]    2

1 1/4 × 5 = 6 1/4

You will have 6 1/4 cups if you combine all the water from balloons 1 1/4 cup full.

:) ur welcome

The base and the altitude of a triangle
are in the ratio of 1:2. If the area of
the triangle is 36, find the length of
the base.

Answers

Answer:

base=6

Step-by-step explanation:

[tex]\frac{base}{altitude}=\frac{1}{2}~=>2*base=altitude\\\\area=\frac{1}{2}base*altutude=\frac{1}{2}base*(2base)=base^2=36~=>base=6\\\\[/tex]

does anyone know w(t) = 3t - 1, w(-4.2) ?

Answers

Answer:

w(-4.2) = 3(-4.2) -1 = -12.6 - 1 = -13.6

Step-by-step explanation:

The w(-4.2) is your t so you substitute it in your expression which means you get 3(-4.2) -1 and that gives you -13.6.

I added the picture of the question.

Answers

Answer:

29+31+24+30+20+18+16= 168

how many numbers there are= 7

168/7= 1,176

The mean is= 1,176

Hope this helped

Answer:

24

Step-by-step explanation:

Add up all the numbers

16+18+20+24+29+30+31=168

Divide the sum by how many numbers there are

Hope it is helpful

What does it mean to have a skewed distribution? What causes a skew in statistical terms? And how does one deal with skewed data when conducting research? Are there specific types of
research questions and types of data where one would expect the data to be skewed?

Answers

Answer:

Explained below

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and is is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data to is positively skewed.

I need a answer asap

Answers

Answer:

As the weight increases, the price increases.

Answer: A, as weight increases, the price also increases

Step-by-step explanation:

What is the inverse of the function f(x) = x +3?

Answers

Answer:

f⁻¹(x) = x - 3

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 I

FunctionsFunction NotationInverse Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x + 3

Step 2: Find

Swap:                                                                                                                 x = y + 3[Subtraction Property of Equality] Isolate y:                                                      x - 3 = yRewrite:                                                                                                             f⁻¹(x) = x - 3

Find the value of N^2 -n. If n=-5

Answers

Algebra

Input -5 into all of the numbers which state "n"

-5^2+5

25+5

30

5+ (-11) – (-11).

Please help.

Answers

Answer:

5

Step-by-step explanation:

(-11)-(-11) would cancel out, so that leaves 5 as the answer :)

Answer: 126 i think cause 5+ (-11) – (-11) = 126 hope this helped have a nice day :)

Step-by-step explanation:

A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.

Answers

Answer:

c = 7p

Step-by-step explanation:

i think

Find the measure of the arc indicated.

Answers

Answer:

option 3

hope youre online exam will be easy

Step-by-step explanation:

SOLVE FOR M. please :)
- 3/7 m = 12

m = -28

m = -26

m = 26

m = 28​

Answers

Answer:

[tex]m = - 28[/tex]

Step-by-step explanation:

[tex] \frac{ - 3}{7} m = 12[/tex]

[tex] \frac{ - 7}{3} ( \frac{ - 3}{7})m = \frac{ - 7}{3} \times 12[/tex]

[tex] \frac{ - 1}{3} ( - 3)m = \frac{ - 7}{3} \times 12[/tex]

[tex] - 1( - 1)m = \frac{ - 7}{3} \times 12[/tex]

[tex]1 \times m = \frac{ - 7}{3} \times 12[/tex]

[tex]m = \frac{ - 7}{3} \times 12[/tex]

[tex]m = \frac{ - 7}{3} \times 12[/tex]

[tex]m = \frac{ - 7}{3} (3 \times 4)[/tex]

[tex]m = - 28[/tex]

Hope it is helpful....
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