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3 years ago

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A bag contains 3 red marbles, 6 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili

ty, to the nearest 1000th, that both marbles drawn will be red?

1 answer:

Ymorist [56]3 years ago

8 0

4/5 is the probability.

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Hey(: can somebody please help me with this question please !

s344n2d4d5 [400]

The volume of a cone is 1/3 pi r^2 h. So by substitution, V = 1/3 of 80pi which simplifies to V=26.667pi, which when multiplied out, provides the answer V = 83.8 cubic meters.

6 0

4 years ago

Factor this x^3 + 27

masya89 [10]

(x+3)(x^2-3x+9)

this gets the x^3 while the 3x cancels out and 3*9=27

hope this helps although i didn't explain very well :)

8 0

3 years ago

Paul wants a bike that cost $400. If he had saved 60% of this amount, how much had he saved.

enyata [817]

Hey!

To solve this problem, we'll first start by creating an equation.

<em>Our Created Equation :
</em>
$\frac{400 x 60}{100}$

Now we'll solve it step by step to find the answer.

So we should begin by multiplying the to portion of our fraction.

<em>400 x 60 = 24,000</em>

Next, we divide our answer by 100, since that is the next step to our equation.

<em>24,000 ÷ 100 = 240</em>

So, our answer is...

<em>Paul has already saved</em> $240.00 <em>of the $400.00 he must pay for a new bike.</em>

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

If kite ABCD is reflected across the x axis what are the results coordinates of point a

GenaCL600 [577]

Answer:

(-x,y)

Step-by-step explanation:

The x coordinate changes while the y stays the same when reflected across the x axis.

4 0

3 years ago

The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t

yanalaym [24]

Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.

The area for an equilateral triangle is given by:

$\displaystyle A=\frac{\sqrt{3}}{4}s^2$

Where <em>s</em> is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.

Therefore, our volume is:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx$

Substitute:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx$

Evaluate the integral. Simplify:

$\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx$

Integrate using u-substitution:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)$

Evaluate:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)$

Therefore, the volume of the solid is:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)$

Our answer is A.

3 0

3 years ago

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