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Oduvanchick [21]

3 years ago

10

There are 4 red and 8 blue marbles in a bag. Mark draws a blue marble out of the bag and does not replace it. Mark draws a secon

d blue marble out of the bag and does not replace it. What is the probability that the next marble he draws will also be blue?

1 answer:

Temka [501]3 years ago

8 0

Answer:

The chance of him pulling out another blue marble is 6/10 or 3/5

Step-by-step explanation:

You might be interested in

$5.10 x 91 gdgdhfhfh

vampirchik [111]

Answer:

464.1

Step-by-step explanation:

5.1 * 91 = 464.1

6 0

1 year ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

2 years ago

What is the solution to this system of equations y=x-2 y=-0.5x+4

gladu [14]

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

x=4

y=2

Step-by-step explanation:

6 0

2 years ago

Given: ABCD is a ∥-gram; DE ∩ AB =F <br> Prove: △ADF∼△CDE

Vedmedyk [2.9K]

Answer:

By AA similarity

Step-by-step explanation:

We have been given that ABCD is a parallelogram

So, by the property of parallelogram AB ||CD and FD is cutting the line BC

Hence, FD is transverse line. In transverse line alternate angles are equal.

Therefore, ∠AFD=∠EDC (alternate interior angles)

And ∠FAD=∠ECD (opposite angles in parallelogram)

Therefore, by AA similarity △ADF∼△CDE

5 0

2 years ago

What is the answer for the question

kondaur [170]

<em>Answer:</em>

<em> 200.52 m²</em>

<em>Step-by-step explanation:</em>

<em>A = 12² + π·6²/2</em>

<em>= 144 + 36π/2</em>

<em>= 144 + 18×3.14</em>

<em>= 144 + 56.52</em>

<em>= 200.52 m²</em>

<em />

8 0

2 years ago