Question

Quantitative Reasoning

Dr. Holmes and Dr. Holloway have been working hard to develop a cure for the Covid-19 virus using a similar approach to their research on Sickle Cell disease, a condition that similarly disproportionately affects Black and Brown people worldwide. Sickle Cell disease affects just over 100,000people in the United States, nearly 95% of whom are Black. Sickle Cell disease afflicts sufferers with extreme pain attacks that happen without warning and can shorten a person's life span by 36%.

Across the United States with a total population of approximately328,238,413 people, these negative health conditions have hit Black and Brown people the most. Recent studies show that aggregated deaths fromCOVID-19 across 40 states and the District of Columbia have reached new highs for all groups,with Black people affected the most severely:

1 in 1,625 Black Americans has died (or 61.5 deaths per 100,000)

1 in 3,500 Latino Americans has died (or 28.6 deaths per 100,000)

1 in 3,200 Asian Americans has died (or 31.25 deaths per 100,000)

1 in 3,600 White Americans has died (or 27.8 deaths per 100,000)

Professor Renaud and Dr. Moore conducted a series of experimental trials with a new Sickle Cell vaccine they created where they hypothesized that the sickle cells would begin to turn back to normal after 12 hours, though they were not sure how fast all the cells would return to their normal circular shape.

Below is an outline of the data they collected from five different experiments:

Dr. Hunte, Dr. Garcia and Professor Matias ran a parallel experiment focused on this vaccine's possible impact on curing the Covid-19 virus.They discovered that while it initially started to work 40% more slowly,once the healing process began it was still an effective treatment forCovid-19 as it healed its patients at the same rate as it did Sickle Cell

1. If Black people make up 15% of the population in the United States,how many Black lives would have been helped and saved this if these vaccines work, assuming that Black people who have Sickle cell do not have covid?year

2. If most Black people in the United States with sickle cell disease die at 44 years old, what is the normal life expectancy of a Black person in the United States?

3. Based on the healing rate of the vaccine, how much longer will it take for a person to be cured of Covid-19 than Sickle Cell disease?

4. What did the experiment reveal about the healing rate of the vaccine?

5. Based on the above data, what conclusions can you draw about potency (power and effectiveness) of the vaccine over time?


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