Answer:
Step-by-step explanation:
According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.
Basically, the net velocity is
Because both velocities have the same direction.
Assuming they are moving in a horizontal direction, the component of this velocity is
Answer:
0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
11 students means that
4 are Sarah, Jamal, Kate, and Mai, so
4 are chosen, which means that
What is the probability that Sarah, Jamal, Kate, and Mai are chosen in any order?
This is P(X = 4). So
0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.