Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer: Gustavo is 261.96 meters away from Aiden. Or Aiden is 261.96 meters away from Gustavo.
Step-by-step explanation: From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Therefore, Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.the total angle between them is 23 + 33 = 56°. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ.
Therefore, they are 261.96 meters apart.
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
I believe the answer would be h. For every value (x,y) of the function f, h has the inverse (y,x).
Answer: a) 6, 0, 10 b) yellow/orange line
Step-by-step explanation:
a) Plug the x in the y functions, y = 2x² + x
when x = -2, y = 2(-2)² + (-2) = 8 - 2 = 6
when x = 0, y = 2(0)² + (0) = 0 + 0 = 0
when x = 2, y = 2(2)² + (2) = 8 + 2 = 10
b) By looking the table, the equation has a point (0,0), only blue and yellow/orange line has the passed the point (0,0), so we delete the red line option.
And we choose a point (1,3), then only yellow/orange line has passed the point (1,3). So the yellow/orange line fits the equation.
Answer:
The first quartile of a data set is 23 the median is 30 the third quartile is 33 and an outlier is 50. Which of these data values would be represented by a point in a modified box plot?
Answer is 50
