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Triss [41]
3 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]3 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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Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60%
enyata [817]

Answer: Lis saved $1166.4 .

Step-by-step explanation:

Given , Ellen saved $2000 and she spent 10% of it to buy a bike.

Then, Ellen's left saving = saved amount - 10% of  (saved amount)

= $2000 - 0.10 x $2000 <em>[We convert perecntage to decimal by diving it by 100]</em>

= $2000 - $200

= $1800

So, Ellen's left saving= $1800

Also, Kim saved 8% more than that of Ellen's left savings.

Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)

= $1800  + (0.08) x ($1800) <em>[We convert perecntage to decimal by diving it by 100]</em>

= $1800 +  $144

i.e. Kim's Saving= $1944

If Lisa saved 60% as much as Kim, then Lisa's saving  = 60% of (Kim's Saving)

= (0.60) x ($1944) <em>[We convert perecntage to decimal by diving it by 100]</em>

i.e. Lisa's saving = $1166.4

4 0
3 years ago
How do I factor 16x^2 and -49y^2??
jeyben [28]
(4x-7y)(4x+7y)

4x times 4x= 16x^2
-7y times 7y= -49y^2
8 0
3 years ago
Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American coll
Jlenok [28]

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that \mu = 21, \sigma = 5

Nicole gets a score of 24, which means that X = 24. Her z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{24 - 21}{5}

Z = 0.6

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that \mu = 508, \sigma = 110.

The score is:

Z = \frac{X - \mu}{\sigma}

0.6 = \frac{X - 508}{110}

X - 508 = 0.6*110

X = 574

Luis would need to have a SAT score of 574.

8 0
2 years ago
Solve for x.
Masteriza [31]

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

7 0
3 years ago
Write for the system 3x - 5y = 9,3x+y=3, which variable should we eliminate first?​
murzikaleks [220]

Answer:

x

Step-by-step explanation:

7 0
2 years ago
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