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3 years ago

A bag contains 1 white, 3 blue, and 2 red marbles

Mathematics

1 answer:

alexgriva [62]3 years ago

4 0

Answer:

Pr(blue) = 1/2, Pr(white) = 1/6, Pr(red) = 1/3

Step-by-step explanation:

1 white,

3 blue, and

2 red marbles

Total marbles = 1+ 3 + 2 =6

Probability of picking blue = number of blue ➗ total number of marbles

Pr(blue) = 3/6

Divide both by 3 to make the fraction to the lowest term.

Pr(blue) = 1/2

Probability of picking white = number of white ➗ total number of marbles

Pr(white) = 1/6

Probability of picking red = number of red ➗ total number of marbles

Pr(red) = 2/6

Divide both by 2 to make the fraction to the lowest term.

Pr(red) = 1/3

I hope this was helpful, please mark as brainliest

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<em>The length of the square that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Explanation:</h2>

Let's call:

$A_{s}:Area \ of \ square \\ \\ A_{r}:Area \ of \ rectangle \\ \\ P_{s}:Perimeter \ of \ square \\ \\ P_{r}:Perimeter \ of \ rectangle$

From the question, we know that:

<em>A rectangle and a square have the same perimeter.</em>

So:

$P_{s}=P_{r}$

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<em>The rectangle is of length 6cm and has an area of 48cm²</em>

Accordingly:

$For \ Rectangle: \\ \\ L:Length \\ W:Width \\ \\ A_{r}=L\times W \\ \\ 48=6W \\ \\ W=8$

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$A_{s}=s^2 \\ \\ S:Side \ of \ square$

From the statement of perimeters:

$P_{s}=P_{r} \\ \\ \\ But: \\ \\ P_{s}=4s \\ \\ P_{r}=2W+2L \\ \\ \\ Then: \\ \\ 4s=2W+2L \\ \\ \\ But: \ W=8 \ and \ L=6 \\ \\ 4s=2(8)+2(6) \\ \\ 4s=16+12 \\ \\ 4s=28 \\ \\ \boxed{s=7cm}$