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choli [55]
3 years ago
12

Answer plz !! Whats the contrapositive ?

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0

Answer:

It should be the first answer.

Step-by-step explanation:

The first answer says "If Nemo is a fish, then he swims". That makes sense. Then the second one says "If Nemo does swim, then he is a fish". That would make sense, but if my name was Nemo, I can swim. That doesn't mean I'm a fish. The the third one says "If Nemo is not a fish, then he doesn't swim". That doesn't make sense. Say my name is Nemo. I'm not a fish. I can swim though!

nikklg [1K]3 years ago
5 0

Answer:

If Nemo is a fish, then he swims.

Step-by-step explanation:

The contrapositive is

If A implies B then not B implies not A.

If Nemo does not swim, then he is not a fish, so:

The contrapositive is:  If Nemo is not not a fish then he does not not swim.

= If Nemo is a fish, then he swims.

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Pythagorean theorem 19^2 + 21^2=x^2
alexira [117]

Answer:

x = 28.32 units.

Step-by-step explanation:

Given:

Longer leg = 21

Shorter leg = 19

Hypotenuse = x

To Find:

Hypotenuse = x = ?

Solution:

Pythagoras Theorem States that

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting of the given value above equation we get

x^{2} =21^{2}+ 19^{2}\\ \\x^{2}=441 + 361\\\\x^{2}=802\\ \therefore x=\pm\sqrt{802} \\\textrm{as x cannot be negative}\\\therefore x=\sqrt{802}\\\\\therefore x=28.319\ units\\\therefore x=28.32\ units

7 0
3 years ago
Read 2 more answers
-4 2/3 + 2 1/2 , I need help asp for this question help someone
snow_lady [41]

Answer:

The solution is in the attached file

7 0
3 years ago
Please answer it correctly I need it today please help
alexdok [17]

Answer:

I am about 95% sure that this is what they want. P.s (sorry I cant put the divide symbol)

<u><em>The variable is the number of shirts she bought or x</em></u>

and the equation is <u><em>(375+50) divided by (15+2) = x</em></u>

in the solve spot put

<em><u>(375+50) divided by (15+2)=x</u></em>

<em><u>425 divided by 17=x</u></em>

<em><u>x=25</u></em>

Then your answer would be <u><em>25</em></u>

Step-by-step explanation:

first add 50 to 375 so you get the full price which will give you 425. then to find out how many shirts she bought you must add 2 to 15 to get 17. then divide 425 by 17 which is 25. so she bought <em><u>25 shirts</u></em>.

3 0
3 years ago
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on
Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

  • If he is given with two kings.
  • If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by =  \frac{^{3}C_2 }{^{47}C_2}   {∵ one king is already there}

              =  \frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}           {∵ ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

              =  \frac{3}{1081}  =  0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =  \frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}

                                                                   =  \frac{3!}{1! \times 2!}\times \frac{2!}{1! \times 1!} \times \frac{2! \times 45!}{47!}

                                                                   =  \frac{6}{1081}  =  0.0055

Now, probability that he ends up with a full house = \frac{3}{1081} + \frac{6}{1081}

                                                                                    =  \frac{9}{1081} = <u>0.0083</u>.

3 0
3 years ago
Read 2 more answers
Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24
Ludmilka [50]

y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\&#10;x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)

3 0
3 years ago
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