(1 point) How many ways can you give 9 (identical) apples to your 5 favourite Mathematics lecturers (without any restrictions)?

Answers

Answer 1

Answer:

126

Step-by-step explanation:

Total number of apples = 9

Number of favourite Mathematics lecturers = 5

To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find [tex]C(9,5)[/tex]

Combination refer to selection of items such that order does not matter.

Use [tex]C(n,p)=\frac{n!}{p!(n-p)!}[/tex]

Put [tex]n=9,p=5[/tex]

[tex]C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126[/tex]


Related Questions

Friction is a force too. how can friction help you in your daily life? how can it hurt you?​

Answers

Answer:

friction is what helps you to walk

Step-by-step explanation:

your foot rubbing against the floor cause friction

Answer:

Friction helps you: Brakes us friction to stop a wheel like on cars, bikes, etc.

Friction hurts you: It can hurt you like when you fall it creates friction and can scrape yourself

graph 3x-2y=6 how do you graph this in algebra

Answers

Answer:

I don't have algebra but I suggest looking it up and it might show you at the very top.

Step-by-step explanation:

Hope this helps you:)

What is the factored form of x3 + 216?

A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)

Answers

Answer:

now using the formula (a-b) (a2+ab+b2)=a3-b3

=>x3-63

x3-216#answer

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The cubic polynomial is given below.

⇒ x³ + 216

Then the cubic polynomial is written as,

⇒ x³ + 6 × 6 × 6

⇒ x³ + 6³

We know that the formula of a³ + b³ is given as,

a³ + b³ = (a + b)(a² – ab + b²)

Compare the expression, we have a = x and b = 6. Then the expression will be

x³ + 6³ = (x + 6)(x² – 6x + 6²)

x³ + 6³ = (x + 6)(x² – 6x + 36)

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).

Then the correct option is B.

More about the factorization link is given below.

https://brainly.com/question/6810544

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The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?

Answers

Answer:

The other number is 5/9.

Step-by-step explanation:

16/3 = 48/5 * x

x = 5/9

all of listen if you don't get answers if you get difficult to answer question then do one thing
1.just type question in google

2.then search it then you can see many answers were shown

3.just choose one answer from that and then write this is easy thats why

ok thx going to back my server I just came to visit ​

Answers

Answer:

Thank for the help

Step-by-step explanation:

Which equation is quadratic in form?
2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0

Answers

Answer:

I think it's the first one... but I'm not pretty sure.

Answer:

C

Step-by-step explanation:

edge 2020

What is the equation of the line that passes through the point (4, -8) and has a
slope of -12

Answers

The equation is Y=-12x+40

|| evaluate. ||
m/ 2 for m = 8
help asap plsplspls !! :)

Answers

Answer:

4

Step-by-step explanation:

8/2=4

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?

-$6.75
-$9.00
-$12.00
-$27.00

Answers

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"

Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.

Answers

Answer:

The expected value of this policy to the insurance company is $206.97

Step-by-step explanation:

Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999563) + (-$189,710* 0.000437)

E(X) = $289.87327 - $82.90327

E(X) = $206.97

Thus, the expected value of this policy to the insurance company is $206.97

PRETTY PLEASE HELP this is my last question im stuck on

Answers

Answer: Domain: (−∞,0)∪(0,∞)
Range: (−∞,−1)∪(−1,∞)

question below please answer

Answers

Answer:

the awenser  is D

Step-by-step explanation:

took the test lolz

Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9

Answers

Answer:

y = 2x + 6

slope = 2

y intercept = 6

PLEASE HELP ME I WILL MARK AS THE BRAINLIEST ANSWER


A unicycle wheel has a diameter of 12 inches. How many inches will the
unicycle travel in 5 revolutions?
Use u = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

226.19 inches

Step-by-step explanation:

I'm pretty sure that's the answer

Which set of numbers includes only integers?

Answers

Answer:

the second one because an integer is a whole number and is not a fraction

Find the slope of the line perpendicular to the graph of y− 1/5 x=7

Please Help!

Answers

Answer:

-5

Step-by-step explanation:

Because y = 1/5x +7

and perpendicular is negative and reciprocal

so

-5

Which graph shows a proportional relationship between the number of hours of renting a boat and the total amount spent to rent the boat?

Answers

Answer:

Its B

Step-by-step explanation:

SOLVE 4x9( 12/(5-2)^3)+9

Answers

Answer:

16x^9/9+9 should be the answer

Step-by-step explanation:

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.
(−2, −4), (2, 0)

Answers

Answer:

y = x - 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0+4}{2+2}[/tex]Add:                              [tex]m=\frac{4}{4}[/tex]Divide:                          [tex]m=1[/tex]

Step 3: Find y-intercept b

Substitute in m:                    y = x + bSubstitute in point:               0 = 2 + bIsolate b:                               -2 = bRewrite:                                 b = -2

Step 4: Write linear equation

Slope-Intercept Form:   y = x - 2

And we have our final answer!

Witch variable represents the y intercept

Answers

Answer:

B

Step-by-step explanation:

Y=mx=b

m= slope

b= y- intercept

x&y are variables

Divide 3 divided by 2/5

7

7 1/5

7 1/2

8

Answers

uhhh 0.3 or 1.2 lol hope this helps

Anthe answer is x times (6)7x10)-1(3)

Step-by-step explanation:

-4(X + 3) s-2 - 2x
What is the solution?

Answers

The answer would be -6x +s -14

1. Write an expression for 8 less than 2
times a number.

Answers

Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

The given figure is a regular hexagon with side length 12 and radius 10. Find its area.
Question 11 options:

A)

120

B)

96

C)

288

D)

576

Answers

Answer:

its C

Step-by-step explanation:

The area of a regular hexagon is 288 square units, which is option C.

What is a regular hexagon?

A hexagon is a six-sided polygon. And a regular hexagon means, the hexagon's sides are equal.

And no interior angle has an angle measuring more than 120°.

As per the given information, we can create 6 equal size triangles.

For that find the length of the apothem,

As per Pythagoras' theorem,

Apothem = √(10)² - (6)² = √(64) = 8.

Now, the area of the regular hexagon can be described as,

S = 6 x 1/2 x 12 x 8

S = 288 square units.

Therefore, the area of the required hexagon is 288 square units.

To learn more about the hexagon;

https://brainly.com/question/16615236

#SPJ2

Which multiplication expression is equal to 2/5÷2/3?

Answers

Answer:

2/5 × 3/2

I hope this helps!

Rewrite the expression in the form b^n

Answers

Answer:

b 15/4

Step-by-step explanation:

PLEASE HELP!! ;)
What is the result when the number 14 is increased by 4.1%?

Answers

Answer:

14.574

Step-by-step explanation:

Answer:

Step-by-step explanation:

14.574

The LCD for
17 and 1/2
is
07
08
15
56

Answers

Answer:

its 2

Step-by-step explanation:

Rewriting input as fractions if necessary:

17/1, 1/2

For the denominators (1, 2) the least common multiple (LCM) is 2.

For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?

Answers

12
Plug three into the equation 3(3) + 3 =12

decimals that equals 1

Answers

Answer:

0.01

Step-by-step explanation:

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