The fractions less than 1/2 are:
A. 1/3
C. 2/5
The ship sails at 20 km / h.
So
20 km / h x 2 h = 40 km
The boat moves 40 km to the northeast.
Then, in the same way:
20 km / h x 1 h = 20 km.
The ship moves 20 km northwest.
We solve this problem using vectors. In this case, we must perform the sum of two vectors a and b
a) magnitude = 40 km and direction 20 degrees east
b) magnitude = 20 km and direction 10 degrees northwest
In Cartesian coordinates, these vectors are written as:
a) 40sin (20º) i + 40cos (20º) j = 13,68i + 37,59j
b) -20sin (10th) i + 20cos (10th) j = -3,473i + 19,70j
The displacement vector of the ship would be the sum of a + b
a + b = 10,207i + 57,29j Finally, the magnitude of the a + b vector will tell us how far the ship is
√(10.21² + 57.29²) = 58.92km
Answer:
Slope: 2x
Y-intercept: -4
Answer:
A. Getting tails from a coin toss and drawing a king from a standard
deck of cards.
Step-by-step explanation:
In probability, independent events are two events that do not affect the outcome of the other. In the first option, whether or not tails is flipped in no way changes the likelihood of a king being drawn. So it is independent because each event can be performed independently of the other.
However, all of the other options are "without replacement". This is a common term used to describe dependent events because since the item is not being replaced, the sample size is changed. This changes the probability of the next outcome. They are called dependent events because the second event depends on the first.
You are right about the domain.