Ask question

Ask question

All categories

PSYCHO15rus [73]

3 years ago

9

A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly select

ing a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?

1 answer:

dsp733 years ago

3 0

Given:

Total number of marbles = 15

Probability of randomly selecting a green marble = $\dfrac{1}{5}$ .

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = $\dfrac{2}{25}$ .

To find:

The number of blue marbles.

Solution:

Let the number of blue marbles be x.

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$P(Blue)=\dfrac{x}{15}$

It is given that,

$P(Green)=\dfrac{1}{5}$

Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is $\dfrac{2}{25}$ . So,

$P(Green)\times P(Blue)=\dfrac{2}{25}$

$\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}$

$\dfrac{x}{75}=\dfrac{2}{25}$

Multiply both sides by 75.

$\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75$

$x=2\times 3$

$x=6$

Therefore, the number of blue marbles in the bag is 6.

You might be interested in

How do i factor x^4+6x^2-7 completly?

liq [111]

The factoring can be done similarly to a quadratic equation thanks to x^4 being the square value of x^2.

<span>x^4 + 6x^2 - 7
x^4</span><span> - x^2</span> + 7x^2 - 7
(x^4 - x^2) + (<span>7x^2 - 7)
</span>x^2(x^2 - 1) + 7(<span>x^2 - 1)
</span>(x^2 + 7)(x^2 - 1)
<span>(x^2 + 7)(x - 1)(x + 1)
</span>
Factored completely we get: <span>(x^2 + 7)(x - 1)(x + 1)</span>

8 0

3 years ago

Read 2 more answers

Will give brainliest plz help

Dominik [7]

Answer:

$\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1$

Step-by-step explanation:

Given:

Center of the ellipse is, $(h,k)=(-4,-3)$

Minor axis length is, $2b=6$

A vertex of the ellipse is at (1, -3)

Now, distance between the center and the vertex is half of the length of the major axis.

Using distance formula for (-4, -3) and (1, -3), we get:

$a=\sqrt{(1+4)^2+(-3+3)^2}=5$

Therefore, the value of half of major axis is, $a=5$ . Also,

$2b=6\\b=\frac{6}{2}=3$

Now, equation of an ellipse with center $(h,k)$ is given as:

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$

Plug in $h=-4,k=-3,a=5,b=3$ and determine the equation.

$\frac{(x-(-4))^2}{5^2}+\frac{(y-(-3))^2}{3^2}=1\\\\\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1$

Therefore, the equation of the ellipse is:

$\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1$

6 0

2 years ago

Could someone Please give the answer to...<br><br> 112 greater than or equal to b+128

kotegsom [21]

$112\geq b+128\\\\b+128\leq112\ \ \ \ |subtract\ 128\ from\ both\ sides\\\\\boxed{b\leq-16}\\\\b\in(-\infty;-16]$

4 0

3 years ago

A medical clinic performs three types of medical teststhat use the same machines. Tests A, B, and C take 15 minutes, 30 minutes

Alex17521 [72]

You can do 9/1 x A
2 x (9/0.5 x B)
9/0.25 x C
so 9A + 36B + 36C
(9 x 50) + (36 x 80) + (36 x 120) = 450 + 2880 + 4320 = $7650

4 0

2 years ago

This will be the last prob for today but thx soo much for helping

____ [38]

Answer:

Step-by-step explanation:

If you simplify you get 0 = 19/3, which is false. So there is no solution.

8 0

3 years ago