Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So






Rounding up:
19 beers must be sampled.
33. 15x10=150x9
the answer is b
34. a
Answer:

Step-by-step explanation:
First, expand the original equation:
(x + 1)(2x + 3)

Now simplify:

And that's your answer!
Answer: can't add an answer, but for the first all 3 angles add up to 180 in a triangle for the second, plug 5 in and also check if all three add up to 180
Step-by-step explanation: