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Alex_Xolod [135]
3 years ago
14

In 2010, there were 2,468,435 total deaths in the total US population, with 308,745,538 persons at mid year (July 1). ;Of these

deaths, 597,689 were due to diseases of the heart and 574,743 were due to malignant neoplasms (cancer). What is the cause-specific mortality rate for diseases of the heart per 100,000 in this population?
Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

193.586 deaths per 100,000

Step-by-step explanation:

The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.

There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:

M=\frac{597,689}{308,745,538}*100,000\\ M=193.586\ deaths/100,000

The mortality rate is 193.586 deaths per 100,000.

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kolezko [41]

Let <em>x</em> and <em>y</em> be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2<em>x</em> + <em>y</em> = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

<em>x</em> + 3<em>y</em> = 0.25

Solve for <em>x</em> and <em>y</em>. We have

<em>y</em> = 0.25 - 2<em>x</em>   ==>   <em>x</em> + 3 (0.25 - 2<em>x</em>) = 0.25

==>   <em>x</em> + 0.75 - 6<em>x</em> = 0.25

==>   5<em>x</em> = 0.5

==>   <em>x</em> = 0.1

==>   <em>y</em> = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

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meaning they can fill 3/5 of a pool in one hour. If it takes time <em>t</em> to fill one pool, we have

(3/5 pool/hour) (<em>t</em> hours) = 1 pool

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So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0
3 years ago
At a concert 5/9 of the people in line are girls. 2/3 are wearing glasses, what fraction of the people are wearing glasses?
Setler79 [48]
The girl bit doesn't really matter except for how it says 5/9 which shows that you should factor it by 3's. If you multiply both the 2 and the 3 in 2/3 you would clearly get 6/9. Which is the same thing but is to get it matching with how the question wrote about the people wearing glasses. 

Answer: 6/9 people
7 0
3 years ago
Expressions equivalent to 3^10
ASHA 777 [7]

Answer:

59049+0

59048.1+0.9

59048.01+0.99

...

Step-by-step explanation:

There's infinite.

7 0
3 years ago
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Answer

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Statement B about the volume of the box is true. The volume is the product of the area of the base,2x(2x+4), and the height, 2x - 2.

<h3>What is volume?</h3>

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The volume is the product of the area of the base,2x(2x+4), and the height, 2x - 2.

Hence, statement B about the volume of the box is true.

To learn more about the volume, refer to

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#SPJ1

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