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

An object has an acceleration of 12.0 m/s/s. If the mass of this object were tripled (with no change in its net force), then its new acceleration would be m/s/s.?​

Answers

Answer:

ummm

Step-by-step explanation:

I believe it's A2=8m/s^-2

Select all that apply.

Which of the following are proportions?

25/10 = 5/2

3/4 = 8/10

2/8 = 3/12

3/4 = 15/20

Answers

Answer:

Step-by-step explanation:

3/4=15/20  are proportions

For every 3 you get a 4

So 5*3= 15 and 5*4=20

25/10 = 5//2 is another one.

Answer:

25/10 = 5/2

3/4 =15/20

Step-by-step explanation:

Please help I will brainliest!! Really urgent!!

and tell you me how you go it, not just the answer please!❤️

For the terms and like terms just put:

T:

LT:

Answers

Answer:

T: x^2 & 3 LT: -x & -3x

Step-by-step explanation:

x^2 has no other like term like: -x^2, 8x^2 or basically no longer "x^2"

3 is the same ^ there is no other single integer

(We cannot use -3x because it has an x attached to it)

-x & -3x are like terms because they both have an x to it a single x, not a x with an exponent like x^2

so -x + (-3x) would equal -4x if we wanted to solve it

Answer:

Terms: 3, (-x), x², (-3x)

Like terms: (-x) and (-3x)

Step-by-step explanation:

A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.

Like terms are terms that have the same variables and power like -x.

Find the missing fraction that would make each equation true. Explain how you got the answer.
*Please check if the ones I did are right ​

Answers

Answer:

1 1/6

Step-by-step explanation:

what is 8+8 dont laugh im in 2nd grade.

Answers

Answer:

16 this is the answer to your question

Answer:

Step-by-step explanation:

8+8=16

Count all the slashes together

(////////)+(////////)=16 slashes

the number if baskets nikki can make varies directy with the time she spends making the baskets she can make 4 baskets in 1/2 an hour how many baskets can nikki make in 5 hours

Answers

Answer:

40 baskets

Step-by-step explanation:

Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.

Answer:

40 Baskets

Step-by-step explanation:

4 x half an hour = 8 baskets an hour. 8 x 5 = 40

A family of four went to dinner at a local restaurant. Three of the family members ordered the special dinner that costs $12.88 each and the fourth family member ordered the hamburger and fries combo that costs $6.78. If they want to leave a 15% tip, which of the following expressions represents the amount of tip they should leave?

A. (12.88+6.78)×0.15

B. (3×12.88+6.78)×0.15

C. 3×12.88+6.78

D. [3×(12.88+6.78)]×0.15

Answers

Letter B would be your corrected answer


1. A newspaper headline claims: "Apple spends far less on Research & Development
than any of its rivals." Further into the story, the reporter writes that Apple spends a
paltry 2% of revenues compared with 14% at Google and Microsoft.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. Is there a situation where the headline is still correct?

Answers

Answer:

Step-by-step explanation:

a)

The mistaken assumption is that Apple spends "far less" on Research and Development than any of its rivals.

b)

The assumption is incorrect because it took cognizance of the percentage used, and not the actual money spent. In truth, Apple generates far more income than the other two rivals. With Apple generating over $100bn in the said time span, and Google generating $37bn. At the end of the day, Apple spends $2.1bn on Research and Development, while Google spends $5.3bn on the same. This is quite close than the quoted distance of 14% - 2%

c)

Yes, I think so. But only when the 3 companies generate almost the same revenue.

Based on the description of the headline given in the scenario, the solution to the problems posed are :

A.)

The mistake in the assumption is that, the headline focused just on the percentage of the revenue made by each company that is spent on R&D.

B.)

The assumption is incorrect because, the revenue generated by the companies aren't the same. Hence, making comparison based on the percentage alone is incorrect.

C.)

The headline may be correct only when the revenue generated by each company is the same.

Learn more : https://brainly.com/question/25677607

Surface area of 4m 5m 6m :)

Answers

Answer:

15 m, but it depends on your shape?

Step-by-step explanation:

cuboid?

if so

area= 2(lb+bh+lh)

2(4*5+5*6+4*6)

2(74)

answer = 148 m sq.

The value 1 is a solution for x^2-6x+5=0
A. True
B. False

Answers

Answer:

The complex solution would be: X = 5,1

Step-by-step explanation:

Answer:

x=1

TRUE because Factoring  x2-6x+5

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  +5

Step-1 : Multiply the coefficient of the first term by the constant   1 • 5 = 5

Step-2 : Find two factors of  5  whose sum equals the coefficient of the middle term, which is   -6 .

     -5    +    -1    =    -6    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  -1

                    x2 - 5x - 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (x-1)  •  (x-5)

            Which is the desired factorization

There is 2 parts. but , help​

Answers

Answer: B

Step-by-step explanation:

plz help itz a hard question

Answers

Answer:

Lol, that is easy.

Step-by-step explanation:

Can anyone help w these questions all of em I’m really confused and I’m 6th grade

Answers

Answer:

5. 3/4

7. -16

10. 32/243

11. a^3

12. b^4 and c^2

13. A mistake would occur if you multiplied 2/3 by five instead of squaring it by 5.

Step-by-step explanation:

Can anyone answer this simplify question

Answers

Answer:

y^3/4x

Step-by-step explanation:

"three times a number is greater than or equal to 12 and less than 21"
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• Your work solving the inequality
• The solution graphed on a number line
• The solution in set notation
• The solution in interval notation

Answers

Answer:

The required inequality is: 12 ≤ 3x < 21

Step-by-step explanation:

We are given: three times a number is greater than or equal to 12 and less than 21

We need to answer following questions:

1) The inequality translated in numerical form

Let number = x

12 ≤ 3x < 21

2) Your work solving the inequality

We need to find value of x. Divide the inequality by x

4 ≤ x < 7

3) The solution graphed on a number line

It is shown in figure attached.

4) The solution in set notation

The set notation is: Considering x belongs to natural numbers N

{∀ x|x∈N, 4 ≤ x < 7}

5) The solution in interval notation

The interval notation is: [4,7)

because we have 4 less than equal to x and x is less than 7

What percent is 8 out of 32?

Answers

Answer:

25%

Step-by-step explanation:

8/32= 25%

Find the difference
5/5 - 2/10

Answers

Answer:

0.8

Step-by-step explanation:

Answer:

8/10

Step-by-step explanation:

5/5 is equivalent to 1 whole or one.

So all your suppose to do is 1 minus 2/10 which is 8/10.

Hope that helps

↖(^ω^)↗

The sum of 2x50 and 3x50 is ____ x 50?

Answers

5

Simply add 3 and 2. You dont need to worry about the 50.

Or, complete 2x50 and 3x50

Now you would have 100 and 150.

Then add them to get 250.

Finally, divide 250 by 50.

Your answer should be 5

PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.

options:

2x+3y 100

2x+3y≤100

2. For the inequality y
options:
True
False

Answers

Answer:

its 2x+3y>100

Step-by-step explanation:

BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.

Answer: the first one

Explain:

Suppose a least squares regression line is given by y= 4.302x - 3.293. What is the mean value of the response variable if x = 20?

Answers

Answer:

i think this is the answer

Step-by-step explanation:

[tex]4.302(20) - 3.293 = 82.747[/tex]

The mean value of the response variable is 82.747.

What is Regression line?

Linear Regression calculates the equation of the line that is the best fit for the given data points. Linear regression models a linear relationship between the input variable x and the output variable y.

Here, given regression line;

        y= 4.302x - 3.293    ...............(i)

Now, value of x is given; x = 20

Put the value of x in equation (i), we get

     y = 4.302 X 20 - 3.293

     y = 86.04 - 3.293

     y = 82.747

Thus, the mean value of the response variable is 82.747.

Learn more about Regression line from:

https://brainly.com/question/7656407

#SPJ2

Can someone help me solve 1+1????

Answers

The answer is 2 my dear friend

Is 8/4 and 9/5 equal ?

Answers

Answer:

No, they are not equal

Step-by-step explanation:

8 is twice as much as 4 but 9 is not twice as much as 5, therefore they are not equal and 9/5 is smaller than 8/4

May I have brainliest please? :)

Answer:

no they are not equal

Step-by-step explanation: They are not equal because 8/4 is an even number and 9/5 is an odd number

Your welcome

9

What is the range of the numbers?

12,

27, 34, 9, 29, 28, 9

OA.

23

OB. 24

OC.

25

D. 28

Answers

Answer:

it is c

Step-by-step explanation:

tje biggest is 34-9 which is smallest and get 25

please help!!!!! URGENT !!!

Answers

Answer:

A. is the correct answer.

Hope I helped.

Rachel is buying lunch for herself and two friends . She has a coupon for $20 off the total bill. Rachel wants to spend less than $60. Write an inequality to find out the cost of the meal if they all order the same meal for lunch.

Answers

Answer:

1201

Step-by-step explanation:

zach says that the expressions 6x - 36 and 3(2x -12) are equivalent

Answers

Answer:

True

Step-by-step explanation:

When you distribute the 3, you get x(2x3)-(12x3)

2x3=6

12x3=36

so 6x-36

and that is equivalent to the first expression.

Is m || n? Which theorem (which tool) did you use to decide?

Answers

Answer:

Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.

Step-by-step explanation:

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

yes

Step-by-step explanation:

Yes m is parallel to n because the alternate interior angles are equal .

need to solve for Y by filling in the blanks
(y +44)°, 86, (3y)°​

Answers

Answer:

y=mx +b

Step-by-step explanation:

Which description describes the transformation from y= x to y=x +3

Shift up 3

Shift left 3

Shift right 3

Shift down 3

Answers

Answer:

three units to the right

Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel.

Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank.

Which streets are parallel? Check all that apply.
c || d
c || e
c || f
d || e
d || f
e || f

Answers

Answer:

c || f  d || e

step-by-step explanation:

Answer:

C and D

or

c || f

d || e

Hope this Helps!

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