Answer:
35/82 is the probability of picking a singer
Answer:
C) 8 ft
Step-by-step explanation:
you use the pythagorean theorem to find the height.
a² + b² = c²
a = radius
b = height
c = slant height
15² + h² = 17²
h = 8
Answer: B. An angle that has its vertex at the center of a circle
Step-by-step explanation:
Answer:
The sum is 1
Step-by-step explanation:
When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.
Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.
Solution :
![$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$](https://tex.z-dn.net/?f=%24%20P%28A%20%5Ccap%20B%29%20%3D%20P%28%5Ctext%7Bcoin%7D%5C%20C_1%20%5Ctext%7B%20chosen%20and%204%20heads%20in%2010%20trails%7D%29%24)
![$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$](https://tex.z-dn.net/?f=%24%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5E%7B10%7DC_4%20%5Ctimes%200.4%5E4%20%5Ctimes%200.6%5E6%24)
= 0.0836
P(B)= P(coin
chosen and 4 heads in 10 trails) + P(coin
chosen and 4 heads in 10 trail) + P(coin
chosen and 4 heads in 10 trail)
![$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5E%7B10%7DC_4%20%5Ctimes%200.4%5E4%20%5Ctimes%200.6%5E6%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5E%7B10%7DC_4%20%5Ctimes%200.5%5E4%20%5Ctimes%200.5%5E6%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5E%7B10%7DC_4%20%5Ctimes%200.2%5E4%20%5Ctimes%200.8%5E6%24)
![$=0.0836+0.0684+0.0294$](https://tex.z-dn.net/?f=%24%3D0.0836%2B0.0684%2B0.0294%24)
![$=0.1813$](https://tex.z-dn.net/?f=%24%3D0.1813%24)
P(A|B) = ![$\frac{P(A \cap B)}{P(B)}$](https://tex.z-dn.net/?f=%24%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D%24)
![$=\frac{0.0836}{0.1813}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B0.0836%7D%7B0.1813%7D%24)
![$=0.4611$](https://tex.z-dn.net/?f=%24%3D0.4611%24)