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NARA [144]
3 years ago
13

A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

en draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

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Please help and thank you. ​
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Answer:

4.

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Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

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___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

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<h3>6.</h3>

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The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

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