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3 years ago

there are 5 billiard balls in a velvet bag. three of the balls are striped and the other 2 are solid what's the probability of p

ulling out a striped ball? write your answer as a fraction

Mathematics

1 answer:

katrin [286]3 years ago

4 0

$|\Omega|=5\\ |A|=3\\\\ P(A)=\dfrac{3}{5}$

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What is the area of this figure?

algol [13]

Answer:

81m²

Step-by-step explanation:

I took the quiz :)

8 0

3 years ago

Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

Can you help me with this maths question? (image attached)

mafiozo [28]

The radius is 10.4 cm. And the angle is 120 which is 1/3 of the circle.
Just use the area formula: 3.14 *r^2 to find the total area of 339.62 and then divide this by 3 to get 113.21. Then to subtract the triangle..find the area of the traingle which is 1/2 (10.4)^2 = 54.08. 113.21 - 54.08 = 59.13 which should be your answer

8 0

3 years ago

What value of a makes the equation true 3(a+1.5)=-1.5

Mariana [72]

3* (a + 1,5) = - 1,5 [:3
a + 1.5 = - 0,5
a = - 0,5 - 1.5 = -2

7 0

3 years ago

Read 2 more answers

What is the reciprical and product of the fraction 3/7?

pychu [463]

Answer:

7/3

Step-by-step explanation:

as it is a reciprocal you must flip the fraction so you can get your answer i hope this helped C:

6 0

3 years ago