The height above the ground of a basketball during a free throw can be represented as a quadratic function. The basketball reached 8.44 feet after 0.1 seconds, 10.36
feet after 0.3 seconds, and 10.84 feet after 0.4 seconds. Use quadratic regression
to write a model representing the height of a basketball above the court during a
free throw. Identify the vertex and interpret its meaning in terms of the situation.

25% is the answer

t

step-by-step explanation:

ever thing time 1 is a multiply by 1 it get  

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.