Answer:
if you have a calculator then you would have to put it in
Answer:
E. 99.7%
Step-by-step explanation:
Calculate each z-score.
z = (x − μ) / σ
z = (173 − 128) / 15
z = 3
z = (x − μ) / σ
z = (83 − 128) / 15
z = -3
You can use a z-score table, or use the empirical rule.
P(-3 < z < 3) = 99.7%.
Answer:
26.5 units
Step-by-step explanation:
The height of the ball at any time t is given by :
...(1)
We need to find the maximum height of the ball.
For maximum height, put 
i.e.

Put t = 1.25 in equation (1) to find the maximum height.
So,

So, the maximum height reached by the ball is 26.5 units.
Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0

The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula


---> the time cannot be a negative number

therefore
The ball will take 4.05 seconds to hit the ground.