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2 years ago

7

A coin is loaded so that the probability of getting heads is 3/4. If the coin is flipped twice, what is the probability of getti

ng heads twice?

1 answer:

baherus [9]2 years ago

5 0

The answer is 0.5625 or 9/16

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Use cylindrical coordinates. find the volume of the solid that lies within both the cylinder x2 y2 = 9 and the sphere x2 y2 z2 =

marissa [1.9K]

In Cartesian coordinates, the region is given by $-3\le x\le3$ , $-\sqrt{9-x^2}\le y\le\sqrt{9-x^2}$ , and $-\sqrt{16-x^2-y^2}\le z\le\sqrt{16-x^2-y^2}$ . Converting to cylindrical coordinates, using

$\begin{cases}\mathbf x(r,\theta,\zeta)=r\cos\theta\\\mathbf y(r,\theta,\zeta)=r\sin\theta\\\mathbf z(r,\theta,\zeta)=\zeta\end{cases}$

we get a Jacobian determinant of $r$ , and the region is given in cylindrical coordinates by $0\le\theta\le2\pi$ , $0\le r\le3$ , and $-\sqrt{16-r^2}\le z\le\sqrt{16-r^2}$ .

The volume is then

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\int_{z=-\sqrt{16-r^2}}^{z=\sqrt{16-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\dfrac{4(64-7\sqrt7)\pi}3$

6 0

2 years ago

Factor 24m-12p+7224m−12p+7224 - 12p + 72 to identify the equivalent expressions.

lord [1]

Answer:

C, A

Step-by-step explanation:

If you would like me to explain, I could but this would be difficult. Trust me.

7 0

2 years ago

Read 2 more answers

for his long-distance phone service, Kareem pays a $2 monthly fee plus $0.12 per minute. Last month, Kareem's long-distance bill

beks73 [17]

$13.52-$2=$11.52

$11.52 \div 0.12 = 96$

Kareem was billed for 96 minutes.

Hope this helps. - M

8 0

2 years ago

A company packages its milk powder in cylindrical container whose base has a diameter of 28 cm and

yKpoI14uk [10]

Answer:

896pi or 2814.9cm^2

Step-by-step explanation:

S=h*r*2pi=(40-2*4)*28/2*2pi=32*14*2pi=896pi=2814.9cm^2

6 0

1 year ago

You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% whats the sales tax

svp [43]

Answer:

11.18

Step-by-step explanation:

135.50 x .0825=11.18

6 0

2 years ago