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3 years ago

12

If you have 8 marbles in the bag (5 blue and 3 green) and you draw 2 with replacement, what is the theoretical probability that

both marbles will be green?
a.
14%
c.
23%
b.
20%
d.
39%

1 answer:

Readme [11.4K]3 years ago

3 0

Answer:

d.39%

Step-by-step explanation:

Loki told me

But really, 39% should be correct

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Three numerical expressions that are equivalent to (0.0004) x (0.005)

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Answer:

Numerical expression 1

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Step-by-step explanation:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

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Read 2 more answers

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

so

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

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