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Afina-wow [57]
2 years ago
10

7+4(r+3)=9r-6 show work pls AND HELP ASAP

Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

\:  \:  \:  \:  \:  \:

=  \:  \:  \:  \: r = 5

Step-by-step explanation:

7 + 4(r + 3) = 9r - 6

  • <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses

7 + 4r + 12 = 9r - 6

  • add numbers

19 + 4r = 9r - 6

  • move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign

19 + 9r =  - 6

  • move the <em><u>constant </u></em>to the right hand side and change its sign

4r - 9 =  - 6 - 19

  • collect<em><u> like</u></em><em><u> terms</u></em>

<em><u>- 5r =  - 6 - 19</u></em>

  • calculate the difference

- 5r =  - 25

  • divide both sides of the equation by <em>-</em><em>5</em>

<em>=  \:  \:  \:  \: r = 5</em>

<h2><em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>
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A hospital’s financial reimbursement payor mix indicates 35% of the patients have Medicare and 15% have Medicaid. Of those who h
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Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.

<h3>What is Conditional Probability?</h3>
  • <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Patient has Medicare.
  • Event B: Patient has Medicaid.

For the probabilities, we have that:

  • 35% of the patients have Medicare, hence P(A) = 0.35.
  • Of those who have Medicare, there is a 10% chance they also have Medicaid, hence P(B|A) = 0.1.

Then, applying the <em>conditional </em>probability:

P(B|A) = \frac{P(A \cap B)}{P(A)}

0.1 = \frac{P(A \cap B)}{0.35}

P(A \cap B) = 0.35(0.1)

P(A \cap B) = 0.035

0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.

You can learn more about conditional probability at brainly.com/question/14398287

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Step-by-step explanation:

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