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I have a hard time with these kinds of exponents...
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Explanation & Answer
f(x)=y=3^x+2+1
y=3^x+3
3^x=y-3
x=log(y-3)/log3
So f-1(x)=log(x-3)/log3
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Vila Health ® ActivityPresenting Statistical Results for Decision MakingIntroductionYour OfficeStakeholder InterviewsEmail ResponseConclusionIntroductionAt any enterprise, statistical results can point the way to better decisions. This is especially true in health care, where trends or changes in patient care or results can have powerful effects on health care organizations — clinical effects, and financial effects. Knowing the facts about trends and changes is crucial to navigating them, which means that in many ways, statistical results are powerful tools.But they’re less powerful if nobody understands them. More often than not, stakeholders in health care organizations are not well versed in statistics or data analysis. Especially for these stakeholders, it’s critical to make careful choices about which numbers to include — and how to talk about those numbers. 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Hospitals are designed from the ground up to minimize them, but the fact is that hospitals always have a lot of bugs floating around and that means they’re a constant danger. And while we try to minimize mistakes, health care professionals are human, and sometimes mistakes cause real problems.The hospital’s board is getting worked up about them again, because we’ve had some high-profile cases where a patient went home and had to be readmitted because of a mistake or an infection they picked up while they were here. They’re worried about PR, of course, but they’re worried about patient outcomes, and — of course — financial reimbursement and penalties, too.What I need you to do is start working on a presentation about HACs here, specifically as they relate to staffing levels and skill mix. That presentation should explain our recommendations to the board. 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Vila Health ® ActivityPresenting Statistical Results for Decision MakingIntroductionYour OfficeStakeholder InterviewsEmail ResponseConclusionIntroductionAt any enterprise, statistical results can point the way to better decisions. This is especially true in health care, where trends or changes in patient care or results can have powerful effects on health care organizations — clinical effects, and financial effects. Knowing the facts about trends and changes is crucial to navigating them, which means that in many ways, statistical results are powerful tools.But they’re less powerful if nobody understands them. More often than not, stakeholders in health care organizations are not well versed in statistics or data analysis. Especially for these stakeholders, it’s critical to make careful choices about which numbers to include — and how to talk about those numbers. 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Review David's latest message to you and send a reply with your initial thoughts.EmailFrom: David BrooksSubject: HACsThanks for doing all that running around. Now that you’ve got the data analysis you need, I’d like you to do some thinking about what results you’re going to include in the presentation. Remember, it’s the board, not a bunch of number geeks. You’ll want to give them the statistical results they need to make a decision, not just every bit of data we have.Write down a list of numbers you’re thinking about including in your presentation. We really need to make a data-driven recommendation to the board, and I’d really appreciate your expertise. Thanks!ReplySubject: RE: HACsThis message has not been composed yet.ConclusionIn this activity, you saw that while complicated analysis of data is an important step in guiding decisions at health care organizations, it’s not the only step. Decision makers need to understand how the data were collected, how variables are measured, and whether the analysis tools and techniques were appropriate.You also gathered necessary data for an analysis of HACs, nurse staffing levels, and skill mix, and did some pre-work on a presentation of the data analysis to the hospital’s board.
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