Answer:
0.513 = 51.3% probability of being a female.
Step-by-step explanation:
We are given the following formula:
![P(F \cup C) = P(F) + P(C) - P(F \cap C)](https://tex.z-dn.net/?f=P%28F%20%5Ccup%20C%29%20%3D%20P%28F%29%20%2B%20P%28C%29%20-%20P%28F%20%5Ccap%20C%29)
In which:
Event F: Female
Event C: Red-green color blindness.
Probability of a Female
We have to find P(F), which is given by:
![P(F) = P(F \cup C) + P(F \cap C) - P(C)](https://tex.z-dn.net/?f=P%28F%29%20%3D%20P%28F%20%5Ccup%20C%29%20%2B%20P%28F%20%5Ccap%20C%29%20-%20P%28C%29)
We are given by:
![P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548](https://tex.z-dn.net/?f=P%28C%29%20%3D%200.039%2C%20P%28F%20%5Ccap%20C%29%20%3D%200.004%2C%20P%28F%20%5Ccup%20C%29%20%3D%200.548)
So
![P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513](https://tex.z-dn.net/?f=P%28F%29%20%3D%20P%28F%20%5Ccup%20C%29%20%2B%20P%28F%20%5Ccap%20C%29%20-%20P%28C%29%20%3D%200.548%20%2B%200.004%20-%200.039%20%3D%200.513)
0.513 = 51.3% probability of being a female.
Answer:what’s the question?
Step-by-step explanation:
![2.32\cdot10^3=2.32\cdot1,000=2,320\\\\4.2\cdot10^4=4.2\cdot10,000=42,000\\\\4.2\cdot10^{-2}=4.2\cdot0.01=0.042](https://tex.z-dn.net/?f=2.32%5Ccdot10%5E3%3D2.32%5Ccdot1%2C000%3D2%2C320%5C%5C%5C%5C4.2%5Ccdot10%5E4%3D4.2%5Ccdot10%2C000%3D42%2C000%5C%5C%5C%5C4.2%5Ccdot10%5E%7B-2%7D%3D4.2%5Ccdot0.01%3D0.042)
Multiplication by 10ⁿ → move decimal n places to the right.
Multiplication by 10⁻ⁿ → move decimal n places to the left.
For n ∈ N
Each song downloaded costs 3 points
each video costs 40 points
total of 999 points
if each song cost 3 points and she has 999 points to use she can download 333 songs at max
Answer:
f^-1(x) = (x -2)/3
Step-by-step explanation:
To find the inverse function, swap x and y, then solve for y.
y = 3x +2 . . . . given function
x = 3y +2 . . . . inverse relation
x -2 = 3y . . . . subtract 2
(x -2)/3 = y . . . divide by 3
f^-1(x) = (x -2)/3 . . . . in functional form