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3 years ago

Does reversing the order of digits of a 2 digit prime number always result in a prime number

Mathematics

2 answers:

Naily [24]3 years ago

7 0

No
for example:

29 if you switch the digits it becomes 92 and 92 is composite because 2x46=92

Contact [7]3 years ago

4 0

No, for example, if you had the prime number 23, and you switched the numbers around, it is 32. 32 is not a prime number.

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Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27

stepan [7]

If you subtract 6 from 33 youll end up with 27 and therefore 27 plus 6 equals 33

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3 years ago

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Mumu + mumu=-----------

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The answer is umu( M + m )

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Exercise 10.10.2: Distributing a coin collection. About A man is distributing his coin collection with 35 coins to his five gran

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given that:

all coins are same;

The same implies that the number of the non-negative integral solution of the equation:

$x_1+x_2+x_3+x_4+x_5 = 35$

$x_1 > 0 ; \ \ \ x_1 \ \varepsilon \ Z$

Thus, the number of the non-negative integral solution is:

$^{(35+3-1)}C_{5-1} = ^{39}C_4$

(b)

Here all coins are distinct.

So; the number of distribution appears to be an equal number of ways in arranging 35 different objects as well as 5 - 1 - 4 identical objects

i.e.

$= \dfrac{(35+4)!}{4!}$

$= \dfrac{39!}{4!}$

(c)

Here; provided that the coins are the same and each grandchild gets the same.

Then;

$x_1+x_2+x_3+x_4+x_5 = 35$

$x_1 > 0 ; \ \ \ x_1 \ \varepsilon \ Z$

$x_1=x_2=x_3=x_4=x_5$

$5x_1 = 35\\\\ x_1= \dfrac{35}{5} \\ \\ x_1= 7$

Thus, each child will get 7 coins

(d)

Here; we need to divide the 35 coins into 5 groups, this process will be followed by distributing the coin.

The number of ways to group them into 5 groups = $\dfrac{35!}{(7!)^55!}$

Now, distributing them, we have:

$\mathbf{\dfrac{35!}{(7!)^55!} \times 5!= \dfrac{35!}{(7!)^5}}$

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2 years ago

A bag contains white marbles and green marbles, 108 in total. The number of white marbles is 6 more than 5

sweet-ann [11.9K]

27.6

108/5= 21.6+6= 27.6

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3 years ago

HELP PLEASE. Which regression equation best fits these data?

AlladinOne [14]

Answer:

B. y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.

The second choice is appropriate.

_____

The other choices are ...

A. a parabola opening upward

C. an exponential function decaying toward zero on the right and tending toward infinity on the left

D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)

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3 years ago

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