Answer:
Step-by-step explanation:
<u>Using the the equation </u>
<u>The ball hits the ground, when h = 0, solving below equation:</u>
- 100t − 16t^2 = 0
- 4t(25 - 4t) = 0
- t = 0 seconds, this is the starting point when ball was hit
- 25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground
Max(f(x)) = f(3) = 4
Max(g(x)) = g(π/2) = 2
Max(h(x)) = h(5) = 3
Of these values, f(3) = 4 is the largest.
The function with the largest maximum is f(x).
3/8 2/5 0.44 0.5 is the answer d !!
Answer:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solutio to the problem
Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:
Where
and
For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.
The definition of sample mean is given by:

If we solve for the total T we got:

For this case then the expected value and variance are given by:


And the deviation is just:

So then the distribution for the total would be also normal and given by:

And we want this probability:

And we can use the z score formula given by:

