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Paladinen [302]
3 years ago
7

Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health

care can be approximated by y=39.6x+543 dollars, where x is the number of years past the year 2000. When are the per capita out-of-pocket expenses for health care predicted to be $1400?
Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

x=\frac{1400-543}{39.6}\approx 21.6

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.

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Answer:

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Step-by-step explanation:

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Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.
ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

==========================================================

Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

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Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

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Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

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<h3>Answer: 49/100</h3>

==========================================================

Part (e)

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(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

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Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>
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You are correct

Step-by-step explanation:Nice job have a nice day!!!

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