10 Select the correct answer from each drop-down menu.
Olivia used her past health history and Information about her doctor visits to create this table to compare health costs with and without
Insurance
Description of Service
Probability of Needing
the Service
Cost with Insurance
Plan
Cost without Insurance
Plan
100%
$1,580
$0
annual premium
three doctor visits
32%
$75
$1,050
medication
45%
$72
$225
What is the expected value of each option?
The expected value of health care without insurance is $
The expected value of health care with insurance is $
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Chose the graph below that represents the following system of inequality’s

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

In a city, 6th and 7th avenues are parallel and the corner that the pizza palace is on is a 54° angle. what is the measure of the angle that is made with 7th ave and broadway on the corner of the shake hut?