Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?

Answers

Answer 1

Answer:

495 different ways

Step-by-step explanation:

This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;

nCr = n!/(n-r)!r!

For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;

12C4 = 12!/(12-4)!4!

12C4 = 12!/8!4!

12C4 = 12*11*10*9*8!/8!*4*3*2

12C4 = 12*11*10*9/24

12C4 = 11880/24

12C4 = 495 ways

Hence this can be done in 495 different ways


Related Questions

The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000

Answers

Answer:

800

Step-by-step explanation:

1:5 and 1:40000

40000/5 is 800

Actual length is 800.

Hope this helps :D

were becca and celia both correct or both wrong?​

Answers

where's the problem? lol

The GCF of 26 39 and 65

Answers

Answer: 13

Explanation:
26 is the smallest number. So do a factor tree for it (2 and 13). Then try dividing those factors with one of the other numbers (ex. 39/2 not equal to a whole number and 39/13 equals to a whole number). Use this factor for the leftover number (65).

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

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

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?

Perimeter = 9.5


Perimeter = 10.6


Perimeter = 15.2


Perimeter = 17.4

Answers

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

More about the triangle link is given below.

https://brainly.com/question/25813512

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plzzz help
find the slope​

Answers

I need a clearer picture, can you try to show the whole thing?

which is a characteristic of any function created by the product of two linear factors?

A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts

Answers

Answer:

the answer is d

Step-by-step explanation:

The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.

According to the question;

We are required to determine which is a characteristic of any function created by the product of two linear factors.

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

Read more;

https://brainly.com/question/11869216

How do I find the lcm of a number .
Can you please explain to me

Answers

Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.



Travis made a business trip of

195.5 miles. He averaged

53 mph for the first part of the trip and

58 mph for the second part. If the trip took

3.5 hours, how long did he travel at each rate?

Answers

Answer:

At 53 mph, he traveled for 1.5 hours

At 58 mph, he traveled for 2 hours

Step-by-step explanation:

Mathematically;

distance = speed * time

let the time for the first part of the trip be x hours and the second part be y hours

Total hours is 3.5

So therefore;

x + y = 3.5 ••••••••(i)

Now let’s work with the rate

53 mph for x hours = 53 * x = 53x miles

58 mph for y hours = 58 * y = 58y miles

Adding both;

53x + 58y = 195.5 miles ••••••••(ii)

We have two equations to solve simultaneously

From i, x = 3.5 - y

insert into ii

53(3.5-y) + 58y = 195.5

185.5 - 53y + 58y = 195.5

5y = 195.5-185.5

5y = 10

y = 10/5

y = 2 hours

x = 3.5 - y

x = 3.5 - 2

x = 1.5 hours

PLEASE HELP!!!!! PEOPLE ARE GETTING THEM WRONG FOR ME!!!

Answers

Answer:

18 lawns

Step-by-step explanation:

Lets take the number of lands that would be mow(ed) in 36 hours as x

Hence,

[tex]Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18[/tex]

Find the volume of the prism

Answers

Answer:

do you have an image for that?

Step-by-step explanation:

Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to calculate these statistics; simply state how the means and the standard deviations compare.


A)


1) 3, 5, 5, 5, 8, 11, 11, 11, 132) 3, 5, 5, 5, 8, 11, 11, 11, 20B)1) -20, 0, 0,0,15, 25, 30, 302) -40, 0,0, 0,15, 25, 30,30


C)


1) 0,2,4,6,8,10


2) 20, 22, 24, 26, 28, 30


D)


1) 100, 200, 300, 400, 500


2) 0, 50, 300, 550, 600

Answers

Answer:

hfiwadhcase9iskoalsuhc;AJDSLASHDOIAWNHEOJOSED

Step-by-step explanation:

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help! open the attachment below!

Answers

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

Which dimensions cannot create a triangle?

three angles measuring 254, 650, and 90°

three angles measuring 50°, 30°, and 100°

three sides measuring 5 in., 12 in., and 13 in.

three sides measuring 4 ft, 8 ft, and 14 ft

Answers

Answer: thirst one can not create a triangle as all triangles are 180 degrees.
and also the fourth can not create a triangle as 8+4=12 and 14 is less than 12.
hope it helps!

how many miles are in 50 meters​

Answers

Answer:

0.0310686

Step-by-step explanation:

ANSWER 0.0310686

Step-by-step explanation:

Eh- :P

You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?

a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.

Answers

Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the total number of ways to select 4 people from 9 friends is

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]

Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].

Note: All options are incorrect.

What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%

Answers

Answer: 63%

Step-by-step explanation:

First step

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]

x = 37%

Second step - Survival rate

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

Graph f(x)=8+2x. Then find the value of f(x) when x=1/2

Answers

Answer:

9

Step-by-step explanation:

f(1/2)=8+2(1/2)

f(1/2)=8+1

f(1/2)=9

Answer:

f ( 1/2 ) = 9

Step-by-step explanation:

Step 1:

f ( x ) = 8 + 2x          Function

Step 2:

x = 1/2              Given

Step 3:

f ( 1/2 ) = 8 + 2 ( 1/2 )        Input x value

Step 4:

f ( 1/2 ) = 8 + 1        Multiply

Answer:

f ( 1/2 ) = 9

Hope This Helps :)

To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.

Answers

Answer:

40 Apple juice and 20 Orange juice

Step-by-step explanation:

From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.

*OJ = Orange juice and AJ = Apple juice

4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!

Answers

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

[tex]4x^2-9y^6[/tex]

It should be noted that both terms are perfect squares:

[tex](2x)^2=4x^2[/tex]

[tex](3y^3)^2=9y^6[/tex]

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

[tex](U^2-V^2)=(U+V)(U-V)[/tex]

Thus, the answer is

B. (U+V)(U-V)

[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.

Answers

new length = 30x110% = 33cm
new width = 20x105% = 21cm

original perimeter = 30x2 + 20x2
= 60 + 40 = 100
new perimeter = 33x2 + 21x2
= 66 + 42 = 108

increase in perimeter = 108-100 = 8
percentage increase = 8/100 x 100% = 8%

What is the orders pair that is a solution to this equation, y=x+2

Answers

Answer: These are possible solutions:

(0,2) (1,3) (2,4)

Hope this helps..:)

Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?

Answers

40

1000/25=40

You’re welcome

The number of books that can be fit on a shelf is 1 meter long and will be 40.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

More about the Algebra link is given below.

https://brainly.com/question/953809

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Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
Next >
No new data to save last checked at 10:16 nm

Answers

Answer:

The first angle is 68.

Step-by-step explanation:

[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]

So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]

I need help and thanks in advance

Answers

Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Discriminant is b^2 -4ac. So it’s (10)^2 - 4 (-4)(-8) = 100 + 128 = 228. When the discriminant is greater than 0 and not a perfect square you have 2 real irrational roots.

Which one doesn't belong?Explain why

Answers

Answer:

6 or 33percent

Step-by-step explanation:

because he don't have a numerator

because he is not belong to the group the three is fraction and the first one is a percent

Answer:

 [tex]\huge\boxed{.6}[/tex]

Solution Steps:- Which doesn't belong -

______________________________

- A rational number is a terminating or repeating decimal.

- An irrational number is when you can't write that number as a fraction.

Rational or Irrational: [tex]33[/tex]% = Rational number. ([tex]33[/tex]% = [tex]0.33[/tex], This is a terminating decimal.)[tex]\frac{1}{3}[/tex] = Rational number. ([tex]\frac{1}{3}[/tex] = [tex]0.3[/tex], This is a repeating decimal.)[tex]\frac{5}{3}[/tex] = Rational number. ([tex]\frac{5}{3}[/tex] = [tex]1.6[/tex], This is a repeating decimal.) [tex]\frac{}{.6}[/tex] = Irrational number. (You can't turn this into a true fraction, therefore it's irrational.)

______________________________

Hope this helps!

If you have anymore questions, or need help with anything else, feel free to ask!

What is the length of z? (Round to the nearest tenth)

Answers

Answer:

z = 10.8

Step-by-step explanation:

[tex]9^{2} + 6^{2} = c^{2}[/tex]

81 + 36 = [tex]c^{2}[/tex]

117 = [tex]c^{2}[/tex]

c = [tex]\sqrt{117}[/tex]

c = 10.8

c = z

Write a equation
3. slope = 5, goes through the point (2,7)

Answers

Answer:

y=5x-3

Step-by-step explanation:

Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b

Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept

7=5(2)+b

Then you just solve for b

7=10+b

-10

-3=b

So the final equation is y=5x-3

The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

The standard equation of the line using the point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the following parameters

m =  5

(x0, y0) = (2, 7)

Substitute the given expressions into the formula as shown:

y - 7 = 5(x-2)

y - 7 = 5x - 10

y - 5x = -10 + 7

y - 5x = -3

Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

Learn more here: https://brainly.com/question/17003809

PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST

Answers

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last

Answers

Answer:

The treats will last 12 days.

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