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2 years ago

8

A bag contains 45 marbles of various colors. Jon draws 60 times, each time replacing the marble before drawing again. He gets a

total of 12 blue marbles. Which is best prediction of how many blue marbles are in the bag? Please explain.

1 answer:

iren2701 [21]2 years ago

6 0

Can u post the whole picture and question

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Translate the description as an algebraic expression:<br>the square of the ratio of 11 and k

damaskus [11]

Answer:

The given description is equivalent to the algebraic expression,

$(\frac {11}{k})^{2}$

Step-by-step explanation:

The given description is ,

'The square of the ratio of 11 and k'

which is equivalent to the algebraic expression,

$(\frac {11}{k})^{2}$

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2 years ago

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3 years ago

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swat32

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2 years ago

Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

lilavasa [31]

We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

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8 months ago