Everyone thought that Martha Mathy was trying to start a new fashion trend when she started wearing socks that did not match. her "look" started to catch on, and pretty soon all the kids at her school were wearing mixed-up socks, too. Rita Writer, a reporter for the school paper, interviewed Martha about the new sock trend. " Wat gave you the idea to wear mismatched socks?" Rita Asked.

"Its simple mathematics," Martha replied. "you see, I have 18 socks at home but no two are the same. with just these 18 socks, I can create over 100 unique pairs of mismatched socks." Rita found this hard to believe, so she checked it out. Was Martha correct?

Answers

Answer 1

Answer:

There are 153 combinations

Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)

= 18 * 17 / 2 = 153

OK that is the maths - now the explanation

The first sock can be any of 18

The second sock can be any of 17 (one already been selected and they must be mismatched)

Therefore there are 18*17 = 306 permutations she could make

However the question asks for "combinations" not "permutations"

A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.

Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153

FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!


Related Questions

show work on this problem

Answers

Answer:

[tex]-3+\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\frac{-9+3\sqrt{5} }{3}[/tex]

Factor out 3:

[tex]\frac{3(-3+\sqrt{5}) }{3}[/tex]

Reduce the fraction by crossing out the 3's:

[tex]-3+\sqrt{5}[/tex]

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=7900(1.05)^x

Answers

Answer:

5% increase

Step-by-step explanation:

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=68°, and MK = 42 feet. Find the length of LM to the nearest tenth of a foot.

Answers

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54

Answers

9n-4

9(6)-4

54-4

50

Option B

Answer is Option B) 50

9(6)-4

54-4

50

evaluate the expression 8 ÷ t when t= 4

Answers

the answer is 2 goodluck on your test

Describe ways you can determine something is either linear or exponential. Be specific PLZ
also plz hurry i need help quick

Answers

You just need to find the slope using two points. You just need to find the slope between x=1 and x=5, x=5 and x=6, x=6, x=9, etc. If the slopes are the same, it's linear and if they're different, it's exponential. Have a good day:)

This relationship is a function.
2
4
5
6

5
6
8
13
True
O False

Answers

The answer is that it is false


1) A snake has a density of 12 g per cm and a
mass of 3000 g. What is its volume in cm'?

Answers

Answer:

250

volume=density/mass

3x^3-5x^2-5x-1=0
Zero of polynomials​

Answers

Answer:

Step-by-step explanation:

Wuh

For problems 4-9 find the circumference.

Answers

4. 78.54
5. 28.27
6. 175.93
7. 59.69
8. 18.85
9. 219.91

Please Help! :)

y = x times what

Answers

Answer:

Step-by-step explanation:

-8/32 = -1/4

The equation is : y = -1/4 x

Now they say, x = 28 so substitute x as 28 and solve

for when y = -5, substitute -5 as y and solve

Do this for all

what is the answer for the for this equasion

x=5x6

Answers

Answer:

x=30 should be the answer

Answer:

x=30

Step-by-step explanation:

x=5×6

Multiply 5 and 6 to get 30.

x=30

is 2/6 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

I think it’s rational because irrational can be written as a decimal, but NOT as a fraction

What is (-2) ÷ 9

A. - 2/9

B. 18

C. -18

D. 2/9

QUICK PLS PLS IM RUNNING OUT OF TIME

Answers

Answer:

A. -2/9

Step-by-step explanation:

the actual answer is -0.22222222222, but it is not listed so the next best answer is A

Answer:

The answer is -0.22222222222

Step-by-step explanation:

Im sorry but there is no other answer :(

If someone can help me with this question i’ll thank them forever!!

Answers

Answer:

[tex]-\frac{3}{2}[/tex] < x or x > 4

Step-by-step explanation:

Convert the inequality to an equation.

2x² - 5x = 12

2x² - 5x - 12 = 0

Factor by grouping.

(2x + 3)(x - 4) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x + 3 = 0

x - 4 = 0

Solve for x.

x = -3/2

x = 4

Use each root to create test intervals.

The solution consists of all of the true intervals.

[tex]-\frac{3}{2}[/tex] < x or x > 4

good luck, i hope this helps :)

-42 < j(7)
Solving one step inequalities

Answers

Step-by-step explanation:

step 1. -42 < 7j

step 2. j > -6 (divide both sides by 7)

step 3. notice that I also put the variable first.

The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.

Answers

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

there are 12 boys than girls in a class of 60 find the number of boys and girls​

Answers

Answer:

boys : 36

girls : 24

Step-by-step explanation:

60 - 12 = 48

48 ÷ 2 = 24 (girls)

24 + 12 = 36 (boys)

Help solve for X. I will give brainliest to the best answer!!! PLEASEEEE

Answers

Answer:

8

Step-by-step explanation:

So first do 104+76+104=284

Now form the equation 10x-4+284=360

It is 360 because this is a quadrilateral.

Now combine like terms.

10x+280=360

10x=80

x=8

Check 80-4=76

The other angle is 76 so you know your answer is correct

Use the commutative property to write an expression equivalent to -5d + 1/2.

Answers

Answer:

1/2 + -5d

Step-by-step explanation:

pls solve this i cannot do it​ find x y z in the above

Answers

Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT​

Answers

Answer:

pencils=16

pen= 4ijsjh

Bugz

hheh7twh556

US 3ju7hutwbh67s

Nigeria is a bad country my name

is Hanna and I am from the USA

I am from Arizona

juhusjyrs hfah its

An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly

Answers

Answer:

230

Step-by-step explanation:

Someone please help!! Please explain will mark brainliest

Answers

a.) 1/2x
B.) x + 8
C.) 2x+1
D.) x + 1/2x
E.) x-3
F.) (x+2)^2 Where ^2 means squared...
G.) x^2 + 2
H.) 5x

The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]

For point a:

Moment generating function of X=?

Using formula:

[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]

[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]

integrating the values by parts:

[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]  

        [tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]

Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]

In point b:

[tex]E(X^n)=?[/tex]

Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]

form point (a):

[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]

Differentiating the value with respect of t

[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]

when [tex]t=0[/tex]

[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]

[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]


Help asaaaaaap guys

Answers

Answer:

-3.5,-3,-2 1/2,-2,2.5

Step-by-step explanation:

Least. Greatest

-3.5, -3, -2 1/2, -2, 2.5

Which is the value of the rational expression 6-x/x+5 when x=2

Answers

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

help, please This is due in 5min's

Answers

Answer:

51

Step-by-step explanation:

The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.

George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?

Answers

Answer: Yes, they will have it mowed in 1 hour and 18 minutes

Step-by-step explanation:

A discount of 10 percent was given. If a further discount of 10percent was given in the reduced price, calculate the total single discount given in the marked price .​

Answers

Answer:

let marked price = x

on 10% discount, price= x-10%of x

=x-(10x/100)

=x-(x/10)

=9x/10

on further 10% discount, total discount = 10% of 9x/10

=10/100 * 9x/10

= 9x/100

= 9%of x

hence, the single discount given on marked price is 9%

Step-by-step explanation:

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