Answer:
The maximum height of soccer ball is 12.25 ft.
Step-by-step explanation:
It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.
Given formula is

The initial height of ball is 0.


The height of ball defined by the function


It is a downward parabola and the vertex of a downward parabola is the point of maxima.
The vertex of a parabola
is



Therefore the maximum height of soccer ball is 12.25 ft.
Answer: Expected value of playing the game is $0.
Step-by-step explanation:
Since we have given that
Total number of colored chips = 20
Number of blue chips = 2
Number of purple chips = 4
Number of green chips = 7
Number of red chips = 7
Amount of prize he gets for blue chip = $10
Amount of prize he gets for a purple chip = $5
No amount is given for red or green
Amount he had to pay = $2
So, Expected value of playing the game is given by

Hence, Expected value of playing the game is $0.
Answer:
infinitely many solutions because both equations are the same
Step-by-step explanation:
Answer:
B = (2, -5)
Step-by-step explanation:
The problem requirements mean ...
B - A = (2/3)(C - A)
B = A + (2/3)C - A
B = (1/3)A + (2/3)C = (A +2C)/3
B = ((-6, 1) +2(6, -8))/3 = (-6+12, 1-16)/3 = (6, -15)/3
B = (2, -5)
It’s c highly likely is more than ,50 and less than 1.00