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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.

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What is the equation of the graph
AveGali [126]

Answer:

y = 2x^2 + 1

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

y = a*x^2 + b

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

3 = a * (1)^2 + 1\\2 = a

Awesome, we've found both values. And we can write the result.

y = 2x^2 + 1

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0
2 years ago
How do i work out inverse proportion
elixir [45]

Answer:

Step-by-step explanation:

Answer:The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.

8 0
3 years ago
Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen
lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
3 years ago
Vertex of y= (x +4) ^2+ 2
Igoryamba

Answer:

the vertex is (-4,2)

Step-by-step explanation:

4 0
3 years ago
Write 18,801,310 in expanded form using exponents
Gnesinka [82]

Answer:

Quite a long one, here it is:

18,801,310 = (1 x 10^{9}) + (8 x 10^{8}) + (0 x 10^{7}) + (8 x 10^{6}) + (0 x 10^{5}) + (1 x 10^{4}) + (0 x 10^{3}) + (3 x 10^{2}) + (1 x 10^{1}) + (0 x 10^{0})

Additionally, if you can't copy that and you needed to use the caret key (^) instead of the exponent image on brainly here it is:

18,801,310 = (1 x 10^9) + (8 x 10^8) + (0 x 10^7) + (8 x 10^6) + (0 x 10^5) + (1 x 10^4) + (0 x 10^3) + (3 x 10^2) + (1 x 10^1) + (0 x 10^0)

<u>Hope this helps and have a nice day!</u>

<u />

8 0
3 years ago
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