Answer is 9. 20% can be looked at as 1/5 and 9 multiplied by 5 is 45 so the answer is nine.
Step-by-step explanation:
(2)
cos(2θ) tan θ + sin θ = 0
tan θ (cos(2θ) + cos θ) = 0
tan θ = 0
θ = kπ
cos(2θ) + cos θ = 0
cos(2θ) = -cos θ
cos(2θ) = cos(π − θ)
2θ = π − θ + 2kπ
3θ = (2k + 1) π
θ = (2k + 1) π / 3
Therefore, θ = kπ or (2k + 1) π / 3.
(3)
2 cos² θ − 2 cos²(2θ)
Power reduction formula:
1 + cos(2θ) − (1 + cos(4θ))
cos(2θ) − cos(4θ)
4x^2 = 100...divide both sides by 4
x^2 = 100/4
x^2 = 25....take the sqrt of both sides, eliminating the ^2
x = sqrt 25
x = 5 <===
Answer: The required probability that a randomly selected day in November will be snowy if it is cloudy is 86.79%.
Step-by-step explanation: Given that for the month of November in a certain city, 53% of the days are cloudy. Also in the month of November in the same city, 46% of the days are cloudy and snowy.
We are to find the probability that a randomly selected day in November will be snowy if it is cloudy.
Let A denote the event that the day is cloudy and B denote the event that the day is snowy.
Then, according to the given information, we have
Now, we need to find the conditional probability of event B given that the event A has already happened.
That is, P(B/A).
We know that
Thus, the required probability that a randomly selected day in November will be snowy if it is cloudy is 87.79%.
Answer:
Step-by-step explanation:
x distance from A to B
6 - (-2) = 8
3/5(8) = 24/5 = 4.8 or 2/5(8) = 16/5 = 3.2
-2 + 4.8 = 2.8 6 - 3.2 = 2.8
y distance from A to B
1 - (-4) = 5
3/5(5) = 3 or 2/5(5) = 2
-4 + 3 = -1 1 - 2 = -1
P = (2.8, -1)