1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolezko [41]
3 years ago
13

An ancient Sicilian legend says that the barber in a remote town who can be reached only by traveling a dangerous mountain road

shaves those people, and only those people, who do not shave themselves. Can there be such a barber
Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

No there cannot be.

Step-by-step explanation:

In explaining this question, I would like us to take into account who the barber is,

" the barber is the one who shaves all those, and those only, who do not shave themselves".

This barber cannot be in existence because who would shave him? If he should shave himself then there is a violation of the rule which says he shaves only those who do not shave themselves. If he shaves himself then he ceases to be a barber. And if he does not shave himself then he happens to be under those who must be shaved by the barber, because of what the rule says. But then he is the barber.

This lead us to a contradiction.

Neither is possible so there is no such barber.

You might be interested in
Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax.
enot [183]

Answer:

$13.6

Step-by-step explanation:

Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.

It is given that including sales tax, she paid a total of $45.30.

Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.

Since the tax for all 3 CDs was same, the total amount of tax that she paid was:

3 * 1.50 = 4.50

Therefore the total tax on 3 CDs is $4.50

Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:

3x + 4.50 = 45.30

3x = 45.30 - 4.50

3x = 40.8

x = 13.6

Therefore the price of each CD before tax is $13.6.

5 0
3 years ago
How does doubling the base effect the perimeter of the triangle
Contact [7]

i think it will make it smaller due to the base being longer which stretches out the two sides and makes less space inside of the triangle

6 0
3 years ago
The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six
irina [24]

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑(\frac{x^{2} }{8}) - (mean^{2})

where x = values of the set.

For Pawnee:

mean^{2} = 3.13^{2} = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

mean^{2}  = 4.25^{2} = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

8 0
3 years ago
Simplify (w/6)^-2<br><br> A.w^2/36<br><br> B.1/36w^2<br><br> C.36/w^2<br><br> D.36w^2
serious [3.7K]
The awenser is a             dfrdhfd dhgdfhujgdf  djfhdug

6 0
3 years ago
im rushing and have like 20 more things so if someone could actually help me right answers, please. T~T
igomit [66]
1. a. 0=0, 4x=4x, -18=-18
b. 3
2.a. 0=-2, 2= 0
b. 2
7 0
2 years ago
Read 2 more answers
Other questions:
  • For Every 12 Student in a group there are 2 adults if there are 96 students how many adults are on the field trip
    6·2 answers
  • Last one lol Thx for helping if u do
    8·1 answer
  • 20-90x-50x^2 <br> find the vertex
    14·2 answers
  • Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
    14·1 answer
  • Which point would be a solution to the system of linear inequalities shown below? y&gt;4 x-5\hspace{50px}y\ge\frac{3}{5} x-1 y&g
    7·1 answer
  • Convert 5 ounces into kilograms. Round your answer to the nearest hundredth.
    11·2 answers
  • Mrs. Cisneros earns $300 per week if she works exactly 40 hours. She earns $12 for each additional hour beyond 40 hours. Which i
    12·1 answer
  • The perimeter of a rectangular carton is 60 inches. If the width of the carton is 11 inches, calculate its length
    8·1 answer
  • Subtracting mixed number 4_1 - 2_7 4 8 4
    6·1 answer
  • Is this a function <br><br> Find the domain and range
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!