Answer:
Option c (Upper tailed) is the correct choice.
Step-by-step explanation:
Given that:
The average attendance is:
= 74,900
We will have to test:
⇒ 
or,

Verses,
⇒ 
or,

The other given alternatives aren't connected to the given scenario. So the above is the correct one.
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:


Hi! So when you are dividing or multiplying a decimal by 10, it becomes a lot easier than it looks. If you divide by 10, you move the decimal to the left one space. If you multiply the decimal by 10, you move the decimal to the right one space. Because you are diving 12.5 by 10, you move the decimal to the left one space, which then becomes 1.25. So, Lauren has run 1.25 miles. If you want to double check, you can multiply 1.25 by 10, which comes out to 12.5. Your answer is 1.25! Hope this helps!!
Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex