Find the probability of the compound event.

2 answers:

4 0

Explanation: you have a 1/2 chance to flip heads on the coin. You have a 3/4 chance to not spin 2 on the spinner. So when you multiply 1/2 by 3/4 probably you get 3/8 :) I hope this answers your question!
Answer: 3/8 chance

otez555 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

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You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

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