Answer:
d
Step-by-step explanation:
just took the test
<h3><u>Question:</u></h3>
Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?
<h3><u>Answer:</u></h3>
Aubrey paid $ 25.5 to the wait staff
<h3><u>Solution:</u></h3>
Given that, Aubrey's dinner cost $ 85
She tips the waitstaff 30% for excellent service
We have to find the amount paid as tip to wait staff
Cost = $ 85
Tip = 30 %
So the tip amount paid is 30 % of 85
<h3><u>Find out 30 % of 85</u></h3>

Thus Aubrey paid $ 25.5 to waitstaff
Simplify radical expressions. If we combine these two things then we get the product property of radicals and the quotient property of radicals. These two properties tell us that the square root of a product equals the product of the square roots of the factors. no radicals appear in the denominator of a fraction.
If there are 10 marbles in total then the probability is 2/10
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:

