<span>-5p^3(4p^2 + 3p - 1) = -20p^5 - 15p^4 + 5p^3
answer is
A. first one
</span>-20p^5 - 15p^4 + 5p^3
Answer: Our required probability would be ![\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Since we have given that
Let A be the event that Kirk has the ace of spades.
Let B be the event that everyone has an ace.
So, P(A) = ![\dfrac{1}{52}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B52%7D)
P(B) = ![\dfrac{4}{52}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B52%7D)
And P(A∩B) = ![\dfrac{1}{52}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B52%7D)
So, P(Kirk has the ace of spades | each of them gets an ace)
![\dfrac{P(A\cap B)}{P(B)}\\\\\\=\dfrac{\dfrac{1}{52}}{\dfrac{4}{52}}\\\\\\=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B52%7D%7D%7B%5Cdfrac%7B4%7D%7B52%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B4%7D)
Hence, our required probability would be ![\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D)
Answer:
235.71cm^2
Step-by-step explanation:
Volume of cone = 1/3 pie r^2 h
1/3*22/7*5*5*9
= 235.71cm^2
Answer:B
Step-by-step explanation:
Check the picture below.
where a radius chord and a tangent to a circle touch each other, namely the point of tangency, is always a right-angle, that means that those two right-triangles are congruent by the HL postulate.