Answer:
-4
Step-by-step explanation:
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that 
Samples of n:
This means that the standard deviation is:

What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Find the area of the cone:
Area of cone: ⅓r^2h
⅓r^2h
= ⅓(3.5)^2(7)
= ⅓(12.25)(7)
= 1/3(85.75)
= 85.75/3
1/3 cup sloshed out:
(85.75/3 )/3
= 29.9 cubic cm
H = - 16 t² + 36 t + 10
The maximum height of the ball is at the vertex of the parabola.
t = - b / 2 a
t = -36/-32
t = 1.12 s
The maximum height of the ball:
h max = - 16 * 1.12² + 32* 1.12 + 10 = - 16 * 1.2544 + 35.84 + 10 =
= - 20.0704 + 45.84 = 25.7696 = 25.77 m