The answer to the question is 0.0365
Answer:
0.65 = 65%
Step-by-step explanation:
56% of the moviegoers were female: P(F) = 0.56
26% were under age 25: P(25-) = 0.26
17% were females under the age of 25: P(F ∩ 25-) = 0.17
Probability that a moviegoer is either female or under age 25: P(F ∪ 25-) = ?
We know that P (A ∪ B) = P(A) + P(B) - P(A ∩ B), so:
P(F ∪ 25-) = P(F) + P(25-) - P(F ∩ 25-) = 0.56 + 0.26 - 0.17 = 0.65
You don't want 'x' in the polar form. The arguments
of the sin and cos should be angles.
You're doing great. You're already through the tough part.
You knew that x = r cos(α) and y = r sin(α) .
The correct equation for where you stopped is
x· y = r² · cos(α) · sin(α) = 1
You can simplify it a little if you remember the 'double-angle' equation:
sin(2α) = 2 · sin(α) · cos(α)
So cos(α) · sin(α) = (1/2) sin(2α)
and r² · cos(α) · sin(α) = 1
r² · sin(2α) = 2
Answer:
false . false is the answer
Step-by-step explanation:
Start by finding when the populations become equal.
C = R
1000e^(0.1t) = 50e^(0.5t)
Divide both sides by 50.
20e^(0.1t) = e^(0.5t)
Divide both sides by e^(0.1t).
20 = e^(0.4t)
Take natural log of both sides.
ln 20 = 0.4t
Multiply both sides by 2.5
t = 2.5 ln 20
t ≈ 7.5
The population of rabbits first exceeds the population of crickets in the middle of the 7th year after 2016, or 2023.
