The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, ![$V=\pi(\frac{d}{2} )^{2} h \\](https://tex.z-dn.net/?f=%24V%3D%5Cpi%28%5Cfrac%7Bd%7D%7B2%7D%20%29%5E%7B2%7D%20h%20%5C%5C)
![$&V=\pi(\frac{9}{2} )^{2} * 4](https://tex.z-dn.net/?f=%24%26V%3D%5Cpi%28%5Cfrac%7B9%7D%7B2%7D%20%29%5E%7B2%7D%20%2A%204)
![$V=81 \pi](https://tex.z-dn.net/?f=%24V%3D81%20%5Cpi)
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
![$P=\frac{27}{81 \pi}](https://tex.z-dn.net/?f=%24P%3D%5Cfrac%7B27%7D%7B81%20%5Cpi%7D)
![$P=\frac{1}{3 \pi}](https://tex.z-dn.net/?f=%24P%3D%5Cfrac%7B1%7D%7B3%20%5Cpi%7D)
Expand ![$\pi$](https://tex.z-dn.net/?f=%24%5Cpi%24)
![$&P=\frac{7}{3 * 22} \\](https://tex.z-dn.net/?f=%24%26P%3D%5Cfrac%7B7%7D%7B3%20%2A%2022%7D%20%5C%5C)
![$&P=\frac{7}{66}](https://tex.z-dn.net/?f=%24%26P%3D%5Cfrac%7B7%7D%7B66%7D)
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
brainly.com/question/24756209
#SPJ4
Answer:
Sa = 36 circumference per meter square
This answer is wrong sorry
Will you my friend
4(4x)+(x)
= 16x+x
Combine like terms
16x+x
(16x+x)
= 17x
x=17
I hope that's help ! Good night .
Answer:
C. 343.08
Step-by-step explanation:
Convert the tax rate into a decimal and multiply by the house price:
.023(179,000) = 4,117
Divide by 12 (to get monthly rate):
4,117/12 ≈ 343.08
Option C should be the correct answer.
For the answer to the question on what is the net pay if you are <span>40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other.
The answer to this question is the last one which is </span><span>$233.21
I hope my answer helped you.</span>