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Aloiza [94]
1 year ago
9

Emma has 7 pens in a box. 5 of the pens are blue. 2 of the pens are red. emma takes at random a pen from the box and writes down

its colour. emma puts the pen back in the box. then emma takes at random a second pen from the box, and writes down its colour.
Mathematics
1 answer:
alexandr402 [8]1 year ago
3 0

Answer:

There is no question stated.  If one assume the question is "Does the probability of picking the same color pen change after the first try?," the answer is "No."

Step-by-step explanation:

When the pen is replaced, the probability reverts back to the original value:

There are 7 pens:

5 Blue

2 Red

The probability of picking a red or blue pen on the first try is:

Red = 2/7

Blue = 5/7

When the pen is replaced, the probabilities  return to the original values.

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5.46/0.25= 21.84 hope it helps

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Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
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Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

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Which matrix represents the system of equations shown below?
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Step-by-step explanation:

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The value of the investment is expected to grow by 3% per year.
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Read 2 more answers
Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how man
pshichka [43]

Answer:

Javon purchase Energy cards = 52

Javon purchase Dragon cards = 75

Step-by-step explanation:

Given - Javon spent $687 on pokemon cards. Energy cards cost $6

             and dragon cards cost $5.

To find - If he bought a total of 127 packs then how many of each did he buy ?

Proof -

Let Javon purchase Energy cards = x

     Javon purchase Dragon cards = y

Now,

Given that he bought a total of 127 packs

⇒x + y = 127

Also,

Cost for 1 Energy card = $6

⇒Cost of x Energy cards = $ 6x

And

Cost of 1 Dragon card = $5

⇒Cost of y Dragon card = $ 5y

Now,

Given that Javon spent $687 on pokemon cards.

⇒6x + 5y = 687

∴ we get

x + y = 127                                 ..................(1)

6x + 5y = 687                            .................(2)

Multiply by 6 in equation (1) , we get

6(x + y) = 6(127)

⇒6x + 6y = 762                          .................(3)

Now,

Subtract equation (2) from equation (1) , we get

6x + 6y - (6x + 5y )= 762 - 687

⇒6x + 6y - 6x - 5y = 75

⇒y = 75

Now,

Put the value of y in equation (1), we get

x + 75 = 127

⇒x = 127 - 75

⇒x = 52

∴ we get

Javon purchase Energy cards = x = 52

Javon purchase Dragon cards = y = 75

3 0
3 years ago
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