Answer:
a) ![P(](https://tex.z-dn.net/?f=P%28%3C1%29%3D%28HHH%2CHHT%2CHTH%2CTHH%29)
b) ![n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).](https://tex.z-dn.net/?f=n%3D%28HHH%2C%20HHT%2C%20HTH%2C%20HTT%2C%20THH%2C%20THT%2C%20TTH%2C%20TTT%29.)
Step-by-step explanation:
From the question we are told that:
3 coin are tossed
Therefore
Sample space ![n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).](https://tex.z-dn.net/?f=n%3D%28HHH%2C%20HHT%2C%20HTH%2C%20HTT%2C%20THH%2C%20THT%2C%20TTH%2C%20TTT%29.)
Generally the sets that correspond with the result of at most one tail is therefore given as follows
![P(](https://tex.z-dn.net/?f=P%28%3C1%29%3D%28HHH%2CHHT%2CHTH%2CTHH%29)
Therefore
The result is at most one tail when
![P(](https://tex.z-dn.net/?f=P%28%3C1%29%3D%28HHH%2CHHT%2CHTH%2CTHH%29)
Answer:
16 fluid ounces
Step-by-step explanation:
Option 2:
is the correct answer.
Step-by-step explanation:
The radical expressions like these are simplified by using fractional exponents
given
![\frac{\sqrt{4}}{\sqrt[3]{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%20%7D)
Converting radicals into exponents
When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3
So
![=\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B4%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
As the bases of numerator and denominator is same, the exponents can be subtracted
![=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}](https://tex.z-dn.net/?f=%3D4%5E%7B%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%3D4%5E%7B%5Cfrac%7B3-2%7D%7B6%7D%7D%5C%5C%3D4%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D)
Hence,
Option 2:
is the correct answer.
Keywords: Exponents, radicals
Learn more about radicals at:
#LearnwithBrainly
Answer:
1
Step-by-step explanation:
10³/10³
10³-³
10⁰=1
Formula a¹÷a¹=a¹-¹=a⁰. (Exponents and Powers)
And
a⁰=1
hope it helps..