There are 12 applicants for financial aid. The Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded? The first scholarship is $1000, the second is $750, the third is $500, and the last is $250. Only place a numeric value as an answer.

Answers

Answer 1

Answer:

495 ways

Step-by-step explanation:

Given that:

Total number of applicants (n) = 12

Required number (r) = 4

Using the combination formula :

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

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

12C4 = 12! / 8!4!

12C4 = (12*11*10*9) / 4*3*2*1

12C4 = 11880 / 24

= 495 ways


Related Questions

5. What three consecutive integers have a sum of 21?

Answers

The answer is 6,7,8.

What is the area of this polygon on a coordinate plane?

20 square units
9 square units
3 square units
14 square units

Answers

Answer:

i need a picture or something to solve this so...

Step-by-step explanation:

What decimal is equivalent to 5/6?

Look at the picture.

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 8.3 with the bar on the 3

Step-by-step explanation:

B because the decimal of 5/6 is 8.3333333 and so on to represent the repeating and endless 3 put a bar on the 3.

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $8. On Saturday, Rob earned $60 babysitting. How much money did he save?


If he earned $60, he saved

Answers

Omg sorry I’m not sure

Answer:

I think 53

Step-by-step explanation:

Help I did the rest just need help with the bottom.

Answers

Answer:

30

Step-by-step explanation:

used the slope formula y2 - y1 / x2 - x1

120 - 90 / 4 -3

30 / 1 = 30

give brainliest pls

Answer:

30

Hopefully this helped you!!!!!!!!! :)

I don't have any knowledge in algebra, so what would be the best way to learn it. (The only advancements I have within are things as 2+x=14 ***When x=12***)​

Answers

Answer

I guess the best way to learn algebra is first being confident with your arithmetic and PEMDAS/BODMAS, then understanding how substitution works, knowing what like-terms, binomial products, squares, etc are and going through worked examples as well as solving algebraic problems yourself. Of course, to get a grasp on algebra, you should start from the basics and continue working your way up. You should be able to find resources online to help you.

Good luck!

Step-by-step explanation:

how to find common denominator​

Answers

find a common multiply between the two denominator

Answer:

To make the denominators the same  Multiply top and bottom of each fraction by the denominator of the other.

Step-by-step explanation:

You want to know the opinions of drivers with valid licenses across America on the issue of establishing a law that requires individuals to take and pass another driver's test at the age of 65 to determine whether they may retain their license. You obtain a list of all licensed drivers and mail a survey to a random sample of 10,000 drivers. Of those, 6,457 responded and 46% say they favor the test. Which of the following statements is true? (5 points)

A. Because random sampling is used, we can feel confident that the percentage of all
drivers with a valid license who say they favor the test is close to 46%.
B. The results of this survey may be affected by nonresponse bias.
C. We cannot trust these results because the survey was mailed. Only survey results
from face-to-face interviews are considered valid.
D. Because more than half of those who were mailed the survey actually responded,
we can feel fairly confident that the actual percentage of all drivers with a valid
license who say they favor another test is close to 46%.

Answers

Answer:

The results of this survey may be affected by nonresponse bias

Step-by-step explanation:

Took the test :)

Answer:

B.  The results of this survey may be affected by nonresponse bias.

Step-by-step explanation:

I took the test

How do you simplify the expression by combining like terms?

15+12−5+4−7

Answers

Answer:

17

Step-by-step explanation:

Since there is no variables in the equation they are all like terms. So just do addition or subtraction. But if it wants you to separate addition and subtraction the answer would be 31-12.

If this is for Imagine Math:

Question:

Simplify the expression by combining like terms.

15+12−5+4−7

Answer:

7x +4y + 8

Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 1 1/2 cups of corn grits?

Answers

Answer:

Im not sure right now ill answer back when i know

Step-by-step explanation:

Answer:

3/2 cups

pls give brainliest

Click on the image to make it bigger!

Answers

Is there a version in english or could you translate what it says

Please help, giving brainliest too whoever answers first

Answers

Answer:

A

Step-by-step explanation:

What is the slope-intercept form of the equation of the line that passes through the point (-6,1), and is perpendicular to the graph of 2x + 3y = -5

Answers

Answer:

Y= -3/2x-8

Step-by-step explanation:

Graph 8x−4y=16. From Big Ideas Math

Answers

Solve for y.

8x−4y=16

-4y = -8x + 16

y = (-8x + 16)/-4

y = (-8x)/-4 + (16/-4)

y = 2x - 4

We only need two points to graph linear equations.

Now let x be 0 and solve for y.

y = 2(0) - 4

y = -4

This leads to the point (0, -4).

We need another point.

Let y = 0 and solve for x.

0 = 2x - 4

4 = 2x

4/2 = x

2 = x

This leads to the point (2,0).

Plot these two points on the xy-plane and connect the points with a straight line.

I'll let you do that.

Understand?

ILL MARK U BRAINLIEST!!

Answers

Answer:

C

Step-by-step explanation:

Victory or death meant that he was going to fight until he died, and the others make no sense.

Hope this helps plz mark brainliest :D

Answer:

He wrote the words victory or death

That is the correct answer since it is either he wins or he dies and when he dies is the only way they win

Step-by-step explanation:

I hope you do vote me brainliest it would really help me level up

What method can be used to prove the triangles below are congruent

Answers

Answer:

SSS?

Step-by-step explanation:

I don't know why the answers don't offer this an option. However, the side that shares both triangles must be congruent to itself and the other highlighted congruent parts are sides, not angles. Therefore by my calculations, the answer has to be SSS, but this isn't a choice.

Please let me know if you need more help :)

Samir took a total of 21 quizzes over the course of 3 weeks. After attending 6 weeks of school this quarter, how many quizzes will Samir have taken in total? Solve using unit rates.

Answers

42 because 21 time 2 equals 42
3 weeks= 21
3•2=6
21•2=42

Find the zeros of the function.
Enter the solutions from least to greatest.
h(x) = (-2x + 3)(-x+3)
lesser x =
greater x =

Answers

Answer:

lesser x=3/2

greater x= 3

Step-by-step explanation:

Answer: lesser x= -2

Greater x = -3/2

Step-by-step explanation:

3
What are the zeros or x-intercepts of the parabola?
A) (0, -1) and (0,5)
B (2,0) and (-9,0)
C (-1,0) and (5,0)
D (0,-5) and (-5,0)

Answers

Answer:

C

Step-by-step explanation:

x-intercepts , when y=0 are

(-1,0) and (5,0)

Answer:

C

Step-by-step explanation:

The zeros are also known as x-intercepts so it is the points on the x axis.

For x-intercepts the y is 0 so it is (-1,0) and (5,0)

hope this helped :)

HELP PLEASE :) * giving brainliest*

Solve the system of equation. Write the solution as a coordinate point

Answers

Answer:

(2,16)

Step-by-step explanation:

y=-x+18

y=8x

8x=-x+18

8x+x=9x

-x+x=0

9x=18

9x/9=x

18/9=2

x=2

y=8(2)

y=16

Answer:

(2,16)

Step-by-step explanation:

Step 1: Substitute -x+18 for y in y=8x:

-x+18=8x Add X to both sides

9x=18 Divide 9 by both sides

x=2

y=8(2)Plug in the new value for x(which is 2) into one of the equations

y=16

(2,16)

Hope this helped, good luck!

A race follows a triangular course. The three legs of the race are, in order, 0.80 km, 2.05 km, and 2.15 km. Find the angle
between the starting leg and the last leg of the race.

Answers

Answer:

2.15 km

Step-by-step explanation:

Need help! only have today till I turn in!

Answers

Answer:

yes

Step-by-step explanation:

(y1-y2)/(x1-x2)=(10-6)/(8-0) OR (6-10)/(0-8)
= 0.5
In that case you now know. The answer to the first blank (coefficient of x)
To find the y intercept (the second blank), which I will call c, you can use either pair of the coordinates and substitute them in the equation together with the gradient you found previously.
If you choose to sub in (0,6) and since gradient=0.5,
Then: 6=0.5(0) + c
therefore, c=6
Likewise, if you choose to sub in (8,10)
Then: 10=0.5(8) + c
Therefore, c also equals to 6
So in conclusion the gradient of the slop is 0.5 and the y intercept is 6
The linear function will be: y=0.5x + 6

PLEASE HELP SHOULD BE EASY!!!!!

Answers

Answer:

it's A

Step-by-step explanation:

hope this helps u with whatever you are doing!

Answer:

1.

Step-by-step explanation:

I just know.

The ratio of a to 5 equals b

Answers

What do we do here? Tell me in the comments, please!

The value of a for the ratio a:b = 5 will be 25.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of a to 5 equals b. When b = 5 the value of 'a' will be calculated as below,

a / 5 = b

a / 5 = 5

a = 5 x 5

a = 25

Hence, the value of 'a' will be 25.

To know more about ratios and proportions follow

https://brainly.com/question/2914376

#SPJ2

You are a landscaper, and you are designing a fence to enclose part of a yard. The section to be enclosed is rectangular and has a width of 21 feet and a length of 38 feet. What length of fence, in feet, will you need to enclose this part of the yard? 59 60 118 120 798

Answers

Answer:

If you draw this out, you can see that total fence equation will be:

2L + 4W = 1200

Simplify, divide by 2

L + 2W = 600

L = (600-2W)

:

Area;

A = L*W

Substitute (600-2W) for L:

A = (600-2W)*W

A = -2W^2 + 600W; a quadratic equation

 

:

The dimension that will produce the greatest area will be the "axis of symmetry

which is: x = %28-b%29%2F%282a%29

:

In this equation a=-2, b=600

W = %28-600%29%2F%282%2A-2%29

W = %28-600%29%2F%28-4%29

W = +150 ft is the width

:

Find the length

L = 600 - 2(150)

L = 300 ft is the length

:

We can say the a field 300 by 150 gives he greatest area

:

This illustrated on a graph where y axis is the area and x axis is the width:

Step-by-step explanation:

Answer:

798

Step-by-step explanation:

21x38=798

Which expression is a Difference?
A) (6 - 4) x 5
B) 6 - (4 x 5)
C) 8 dived (5 - 2)
D) (6 - 4)( 3 - 1)

Answers

Answer:

c different multiples numbers to see which is the complete one

A scientists finds the bones of a dinosaur. What could help the scientists determine the approximate age of the dinosaur bones?

A. The weather conditions in the area of the bones.

B The index fossils in the area of the bones.

C The birds living in the area of the bones

D The kinds of trees living in the area of the bones.

Gibe brnliestttn ugly lol :V

Answers

Answer: B, the index fossils in the area of the bones.

(I do need 1 more brainliest to rank up, so if my answer is correct, that would be great, sorry if I sound rude.)


A line of symmetry is also a line of _____

Answers

Answer:

reflection

Step-by-step explanation:

reflection is the answer

What is the correct factorization of:
x? - 11x + 18

Answers

9514 1404 393

Answer:

  x² -11x +18 = (x -9)(x -2)

Step-by-step explanation:

The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.

  18 = (-1)(-18) = (-2)(-9) = (-3)(-6)

The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...

  x² -11x +18 = (x -9)(x -2)

Solve for x: x2 = 16

Answers

Answer:

8

Step-by-step explanation:

to get x alone you divide the 2 away on both sides, getting x = 8. To check multiply 8 by 2 and you get 16.

Hope this helps!

Take the root of both sides and solve.

x = 4, −4

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