The following table shows deaths due to tuberculosis (TB) in City A and City B in a certain year. Complete parts (a) through (c) below. City B Race White Nonwhite Total Population 4,660,000 93,000 4,753,000 City A TB Deaths 8400 500 8900 Population 85,000 41,000 126,000 TB Deaths 110 180 290 a. Compute the death rates for whites, nonwhites, and all residents in City A. The death rate for whites is%. The death rate for nonwhites is%. The death rate for all residents is (Type integers or decimals rounded to the nearest hundredth as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following table shows deaths due to tuberculosis (TB) in City A and City B in a certain year. Complete parts (a) through (c) below.
City B
Race
White
Nonwhite
Total
Population
4,660,000
93,000
4,753,000
City A
TB Deaths
8400
500
8900
Population
85,000
41,000
126,000
TB Deaths
110
180
290
a. Compute the death rates for whites, nonwhites, and all residents in City A.
The death rate for whites is%. The death rate for nonwhites is%. The death rate for all residents is%.
(Type integers or decimals rounded to the nearest hundredth as needed.)
Transcribed Image Text:The following table shows deaths due to tuberculosis (TB) in City A and City B in a certain year. Complete parts (a) through (c) below. City B Race White Nonwhite Total Population 4,660,000 93,000 4,753,000 City A TB Deaths 8400 500 8900 Population 85,000 41,000 126,000 TB Deaths 110 180 290 a. Compute the death rates for whites, nonwhites, and all residents in City A. The death rate for whites is%. The death rate for nonwhites is%. The death rate for all residents is%. (Type integers or decimals rounded to the nearest hundredth as needed.)
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### Tuberculosis Death Rates in Cities A and B

The following table presents the deaths due to tuberculosis (TB) in City A and City B for a certain year. The data is categorized by race and includes specific counts for both populations and TB deaths.

#### Table: TB Deaths by Race and City

| Race      |               | City A             |               | City B             |               |
|-----------|---------------|--------------------|---------------|--------------------|---------------|
|           | Population    | TB Deaths          | Population    | TB Deaths          |
| White     | 4,660,000     | 8,400              | 85,000        | 110                |
| Nonwhite  | 93,000        | 500                | 41,000        | 180                |
| Total     | 4,753,000     | 8,900              | 126,000       | 290                |

### Question Analysis

#### a. Compute the death rates for whites, nonwhites, and all residents in City A.

1. **Death rate for whites in City A**: 

\[
\text{Death rate for whites} = \frac{\text{TB Deaths (whites)}}{\text{Population (whites)}} \times 100 = \frac{8,400}{4,660,000} \times 100 = 0.18\%
\]

2. **Death rate for nonwhites in City A**: 

\[
\text{Death rate for nonwhites} = \frac{\text{TB Deaths (nonwhites)}}{\text{Population (nonwhites)}} \times 100 = \frac{500}{93,000} \times 100 = 0.54\%
\]

3. **Death rate for all residents in City A**: 

\[
\text{Death rate for all residents} = \frac{\text{Total TB Deaths}}{\text{Total Population}} \times 100 = \frac{8,900}{4,753,000} \times 100 = 0.19\%
\]

**Recorded Calculations:**

- **The death rate for whites is 0.18%.**
- **The death rate for nonwhites is 0.54%.**
- **The death rate for all residents is 0.19%.**

#### b. Compute
Transcribed Image Text:### Tuberculosis Death Rates in Cities A and B The following table presents the deaths due to tuberculosis (TB) in City A and City B for a certain year. The data is categorized by race and includes specific counts for both populations and TB deaths. #### Table: TB Deaths by Race and City | Race | | City A | | City B | | |-----------|---------------|--------------------|---------------|--------------------|---------------| | | Population | TB Deaths | Population | TB Deaths | | White | 4,660,000 | 8,400 | 85,000 | 110 | | Nonwhite | 93,000 | 500 | 41,000 | 180 | | Total | 4,753,000 | 8,900 | 126,000 | 290 | ### Question Analysis #### a. Compute the death rates for whites, nonwhites, and all residents in City A. 1. **Death rate for whites in City A**: \[ \text{Death rate for whites} = \frac{\text{TB Deaths (whites)}}{\text{Population (whites)}} \times 100 = \frac{8,400}{4,660,000} \times 100 = 0.18\% \] 2. **Death rate for nonwhites in City A**: \[ \text{Death rate for nonwhites} = \frac{\text{TB Deaths (nonwhites)}}{\text{Population (nonwhites)}} \times 100 = \frac{500}{93,000} \times 100 = 0.54\% \] 3. **Death rate for all residents in City A**: \[ \text{Death rate for all residents} = \frac{\text{Total TB Deaths}}{\text{Total Population}} \times 100 = \frac{8,900}{4,753,000} \times 100 = 0.19\% \] **Recorded Calculations:** - **The death rate for whites is 0.18%.** - **The death rate for nonwhites is 0.54%.** - **The death rate for all residents is 0.19%.** #### b. Compute
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