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Triss [41]
4 years ago
15

The population of the country was 314 million. What is the empirical probability of death by stroke during a single​ year

Mathematics
1 answer:
Marat540 [252]4 years ago
3 0

Answer:

Empirical probability of deaths cause by stroke=0.004086

Empirical probability of deaths cause by kidney disease =0.001436

Death rate due to stroke is 4 times the death rate due to kidney disease.

Step-by-step explanation:

Consider the table attached in figure

No. of deaths cause by stroke = 128300

No. of deaths caused due t kidney disease = 45100

Total population = 314 x 10⁵

Formula to calculate empirical probability:

P(A)=\frac{No.\, of\,\, times\,\, event\,\, occurs}{Total\,\, population}\\

Empirical probability of deaths cause by stroke:

P(A)=\frac{128300}{314\times 10^5}\\\\P(A)=0.004086

Percentage of deaths cause by stroke =0.4%

Empirical probability of deaths cause by kidney disease:

P(B)=\frac{45100}{314\times 10^5}\\\\P(B)=0.001436

Percentage of deaths cause by kidney disease =0.1%

Ratio between deaths caused to stoke to deaths caused by kidney disease is 4:1 which means death rate due to stroke is 4 times the death rate due to kidney disease.

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Mardi received an inheritance of $94,000. She invested part in an account earning at 5% annual interest and deposited the remain
stepladder [879]

She invested part in an account earning at 5% annual interest = $36400

Explanation:

Given:

Mardi received an inheritance = $94,000.

She invested part in an account earning at 5% annual interest

deposited the remainder in tax-free bonds earning 3% annual interest.  

Her total annual income from the investments was $3548

To Find:

The amount invested at 5% to the nearest dollar.

Solution:

Let  the amount mardi invested  in an account earning at 5%  be x

Then the remaining amount she deposited in tax-free bonds earning  at 3% annual interest is 94000 - x

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\frac{(x\times5\times1)}{100}+\frac{(94000-x)\times3\times1}{100}=3548

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