Raymond is building a fence for a dog run. the dog run will be a rectangle with a length of 24 feet and a width that is 2/5 the
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Answer:
The probability that she gets all the red ones, given that she gets the fluorescent pink one, is P=0.0035 or 0.35%.
Step-by-step explanation:
Susan grabs four marbles at random.
We have to calculate the probabilities that he picks the 3 red ones, given that she already picked the fluorescent pink.
If it is given that the fluorescent pink is already picked, we are left with three red marbles, four green ones, two yellow ones, and four orange ones. A total of 13 marbles.
The probability that the second marble is red is 3 in 13.
The probability that the third marble is also red is 2 (the red marbles that are left) in 12 (the total amount of marbles left), as there is a picking without replacement.
The probability that the fourth marble is 1 in 11.
Then, the probability that the 3 red marbles are picked, is:
Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;
∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;
Sinθ = sin(-53.13) = -0.799≈ -0.8.